A

Abdul Kadhim Rasheed, Maan (2012) On blow-up solutions of parabolic problems. Doctoral thesis (PhD), University of Sussex.

Abdullahi Yau, Muhammad (2014) Analysis of spatial dynamics and time delays in epidemic models. Doctoral thesis (PhD), University of Sussex.

Agapiou, Sergios, Burger, Martin, Dashti, Masoumeh and Helin, Tapio (2018) Sparsity-promoting and edge-preserving maximum a posteriori estimators in non-parametric Bayesian inverse problems. Inverse Problems, 34 (4). pp. 1-37. ISSN 0266-5611

Agostiniani, V, Blass, T and Koumatos, K (2014) From nonlinear to linearized elasticity via Γ-convergence: the case of multiwell energies satisfying weak coercivity conditions. Mathematical Models and Methods in Applied Sciences, 25 (1). pp. 1-38. ISSN 0218-2025

Agostiniani, Virginia, DeSimone, Antonio and Koumatos, Konstantinos (2016) Shape programming for narrow ribbons of nematic elastomers. Journal of Elasticity, 127 (1). pp. 1-24. ISSN 0374-3535

Al-Qubeissi, Mansour (2012) Treating Non-Matching and Overlapping Meshes at The Interface of Conjugate Heat Transfer. In: ASME 2012 International Mechanical Engineering Congress & Exposition (IMECE2012), November 9-15, 2012, Houston, Texas, USA.

Alhazmi, Muflih (2018) Exploring mechanisms for pattern formation through coupled bulk-surface PDEs. Doctoral thesis (PhD), University of Sussex.

Alhily, Shatha Sami Sejad (2013) Higher integrability of the gradient of conformal maps. Doctoral thesis (PhD), University of Sussex.

Allaire, GRÉGOIRE, Palombaro, Mariapia and Rauch, Jeffrey (2013) Diffraction of Bloch wave packets for Maxwell's equations. Communications in Contemporary Mathematics, 15 (06). 1350040-1-1350040-36. ISSN 0219-1997

Allaire, Grégoire, Palombaro, Mariapia and Rauch, Jeffrey (2015) A bound on the group velocity for Bloch wave packets. Portugaliae Mathematica, 72 (2). pp. 119-123. ISSN 0032-5155

Almusawa, Musawa (2022) Some results on singular scattering theory. Doctoral thesis (PhD), University of Sussex.

Argaez, Carlos and Melgaard, Michael (2012) Existence of a minimizer for the quasi-relativistic Kohn-Sham model. Electronic Journal of Differential Equations, 2012 (18). pp. 1-20. ISSN 1072-6691

Argaez, Carlos and Melgaard, Michael (2012) Solutions to quasi-relativistic multi-configurative Hartree-Fock equations in quantum chemistry. Nonlinear Analysis: Theory, Methods and Applications, 75 (1). pp. 384-404. ISSN 0362-546X

Ashworth, Blake (2020) Structure-preserving variational schemes for fourth order nonlinear partial differential equations with a Wasserstein gradient flow structure. Doctoral thesis (PhD), University of Sussex.

B

Baleanu, Dumitru, Diethelm, Kai, Scalas, Enrico and Trujillo, Juan J (2012) Fractional calculus: models and numerical methods. Series on complexity, nonlinearity and chaos, 3 . World Scientific, Singapore, pp. 1-400. ISBN 9789814355209

Baleanu, Dumitru, Diethelm, Kai, Scalas, Enrico and Trujillo, Juan J (2016) Fractional calculus: models and numerical methods (2nd edition). Series on complexity, nonlinearity and chaos, 5 . World Scientific, Singapore. ISBN 9789813140035

Ball, J M and Koumatos, K (2016) Quasiconvexity at the boundary and the nucleation of austenite. Archive for Rational Mechanics and Analysis, 219 (1). pp. 89-157. ISSN 0003-9527

Barchiesi, Marco, Cagnetti, Filippo and Fusco, Nicola (2013) Stability of the Steiner symmetrization of convex sets. Journal of the European Mathematical Society, 15 (4). pp. 1245-1278. ISSN 1435-9855

Barnett, L, Di Paolo, E and Bullock, S (2007) Spatially embedded random networks. Physical Review E, 76 (5). 056115. ISSN 1539-3755

Bilal, Rabia, Bilal, Muhammad, Chatwin, Chris and Young, Rupert (2017) A feasibility study of wireless Sussex MK4 system for electrical impedance mammography. International Journal of Applied Engineering Research, 12 (12). pp. 3275-3281. ISSN 0973-4562

Blank, Luise, Garcke, Harald, Farshaf-Shaker, M Hassan and Styles, Vanessa (2014) Relating phase field and sharp interface approaches to structural topology optimization. ESAIM: COCV, 20 (4). pp. 1025-1058. ISSN 1292-8119

Blyuss, K B and Nicholson, L B (2012) The role of tunable activation thresholds in the dynamics of autoimmunity. Journal of Theoretical Biology, 308. pp. 45-55. ISSN 1095-8541

Blyuss, Konstantin B and Kyrychko, Yuliya N (2012) Symmetry breaking in a model of antigenic variation with immune delay. Bulletin of Mathematical Biology, 74 (10). pp. 2488-2509. ISSN 1522-9602

Brasche, Johannes F and Melgaard, Michael (2005) The Friedrichs extension of the Aharonov-Bohm Hamiltonian on a disk. Integral Equations and Operator Theory, 52 (3). pp. 419-436. ISSN 0378-620X

Brett, C E A, Lam, K F, Law, K J H, McCormick, D S, Scott, M R and Stuart, A M (2013) Accuracy and stability of filters for dissipative PDEs. Physica D: Nonlinear Phenomena, 245 (1). pp. 34-45. ISSN 0167-2789

Bátkai, András, Kiss, Istvan Z, Sikolya, Eszter and Simon, Péter L. (2012) Differential equation approximations of stochastic network processes: an operator semigroup approach. Networks and Heterogeneous Media, 7 (1). pp. 43-58. ISSN 1556-1801

C

Cagnetti, F, Gomes, D and Tran, H V (2011) Aubry-Mather measures in the non convex setting. SIAM Journal on Mathematical Analysis, 43 (6). pp. 2601-2629. ISSN 0036-1410

Cagnetti, F, Mora, M G and Morini, M (2008) A second order minimality condition for the Mumford-Shah functional. Calculus of Variations and Partial Differential Equations, 33 (1). pp. 37-74. ISSN 0944-2669

Cagnetti, F and Scardia, L (2011) An extension theorem in SBV and an application to the homogenization of the Mumford-Shah functional in perforated domains. Journal de Mathematiques Pures et Appliquees, 95 (4). pp. 349-381. ISSN 0021-7824

Cagnetti, Filippo (2008) A vanishing viscosity approach to fracture growth in a cohesive zone model with prescribed crack path. Mathematical Models and Methods in Applied Sciences, 18 (7). pp. 1027-1071. ISSN 0218-2025

Campillo-Funollet, E, Grün, G and Klingbeil, F (2012) On modeling and simulation of electrokinetic phenomena in two-phase flow with general mass densities. SIAM Journal on Applied Mathematics, 72 (6). pp. 1899-1925. ISSN 0036-1399

Campos Cordero, Judith and Koumatos, Konstantinos (2020) Necessary and sufficient conditions for the strong local minimality of C^1 extremals on a class of non-smooth domains. ESAIM: Control, Optimisation and Calculus of Variations, 26. a49. ISSN 1292-8119

Chemin, Jean-Yves, McCormick, David S, Robinson, James C and Rodrigo, Jose L (2016) Local existence for the non-resistive MHD equations in Besov spaces. Advances in Mathematics, 286. pp. 1-31. ISSN 0001-8708

Chiumiento, Eduardo and Melgaard, Michael (2012) Stiefel and Grassmann manifolds in quantum chemistry. Journal of Geometry and Physics, 62 (8). pp. 1866-1881. ISSN 0393-0440

Chlebík, Miroslav (2017) Going beyond variation of sets. Nonlinear Analysis: Theory, Methods and Applications, 153. pp. 230-242. ISSN 0362-546X

Chong, Maureen Siew Fang, Shahrill, Masitah, Crossley, Laurie and Madzvamuse, Anotida (2015) The stability analyses of the mathematical models of hepatitis C virus infection. Modern Applied Science, 9 (3). pp. 250-271. ISSN 1913-1844

Constantin, P, Fefferman, C, Titi, E S and Zarnescu, A (2007) Regularity for coupled two-dimensional nonlinear Fokker-Planck and Navier-Stokes systems. Communications in Mathematical Physics, 270 (3). pp. 789-811. ISSN 0010-3616

D

Dashti, M, Law, K J H, Stuart, A M and Voss, J (2013) MAP estimators and their consistency in Bayesian nonparametric inverse problems. Inverse Problems, 29 (9). 095017. ISSN 0266-5611

De Masi, Anna, Presutti, Errico and Tsagkarogiannis, Dimitrios (2011) Fourier law, phase transitions and the stationary Stefan problem. Archive for Rational Mechanics and Analysis, 201 (2). pp. 681-725. ISSN 0003-9527

Degond, Pierre, Frouvelle, Amic, Merino-Aceituno, Sara and Trescases, Ariane (2019) Alignment of self-propelled rigid bodies: from particle systems to macroscopic equations. In: Stochastic dynamics out of Equilibrium. Springer proceedings in mathematics and statistics, pp. 28-66. ISBN 9783030150952

Degond, Pierre, Merino-Aceituno, Sara, Vergnet, Fabien and Yu, Hui (2019) Coupled self-organized hydrodynamics and stokes models for suspensions of active particles. Journal of Mathematical Fluid Mechanics, 21 (6). pp. 1-36. ISSN 1422-6928

Di Lauro, Francesco (2021) Mean-field models in network inference and epidemic control. Doctoral thesis (PhD), University of Sussex.

E

Elbirki, Asma (2016) On parabolic equations with gradient terms. Doctoral thesis (PhD), University of Sussex.

Enstedt, M and Melgaard, M (2012) Abstract criteria for multiple solutions to nonlinear coupled equations involving magnetic Schrödinger operators. Journal of Differential Equations, 253 (6). pp. 1729-1743. ISSN 0022-0396

Enstedt, M and Melgaard, M (2008) Existence of a solution to Hartree-Fock equations with decreasing magnetic field. Nonlinear Analysis: Theory, Methods and Applications, 69 (7). pp. 2125-2141. ISSN 0362-546X

Enstedt, M and Melgaard, M (2009) Existence of infinitely many distinct solutions to the quasi-relativistic Hartree-Fock equations. International Journal of Mathematics and Mathematical Sciences, 2009. pp. 1-20. ISSN 0161-1712

Enstedt, Mattias and Melgaard, Michael (2008) Non-existence of a minimizer to the magnetic Hartree-Fock functional. Positivity, 12 (4). pp. 653-666. ISSN 1385-1292

Eyles, Joe (2019) Numerical analysis and simulations of a tractable model for tumour growth. Doctoral thesis (PhD), University of Sussex.

Eze, Ethelbert Chinedu and Chatwin, Chris R (2019) Enhanced recurrent neural network for short-term wind farm power output prediction. IJRDO - Journal of Applied Science, 5 (2). pp. 28-35. ISSN 2455-6653

F

Fefferman, Charles L, McCormick, David S, Robinson, James C and Rodrigo, Jose L (2015) Higher order commutator estimates and local existence for the non-resistive MHD equations and related models. Journal of Functional Analysis, 267 (4). pp. 1035-1056. ISSN 0022-1236

Fefferman, Charles L, McCormick, David S, Robinson, James C and Rodrigo, Jose L (2017) Local existence for the non-resistive MHD equations in nearly optimal Sobolev spaces. Archive for Rational Mechanics and Analysis, 223 (2). pp. 677-691. ISSN 0003-9527

Feireisl, Eduard, Rocca, Elisabetta, Schimperna, Giulio and Zarnescu, Arghir (2014) Evolution of non-isothermal Landau–de Gennes nematic liquid crystals flows with singular potential. Communications in Mathematical Sciences, 12 (2). pp. 317-343. ISSN 1539-6746

G

Gallagher, Isabelle, Koch, Gabriel S and Planchon, Fabrice (2013) A profile decomposition approach to the L∞/t (L3/ x) Navier–Stokes regularity criterion. Mathematische Annalen, 355 (4). pp. 1527-1559. ISSN 0025-5831

George, Uduak Z, Stéphanou, Angélique and Madzvamuse, Anotida (2012) Mathematical modelling and numerical simulations of actin dynamics in the eukaryotic cell. Journal of Mathematical Biology, 66 (3). pp. 547-593. ISSN 0303-6812

Georgiou, Nicos, Joseph, Mathew, Khoshnevisan, Davar and Shiu, Shang-Yuan (2015) Semi-discrete, semi-linear SPDEs. Annals of Applied Probability, 25 (5). pp. 2959-3006. ISSN 1050-5164

Georgoulis, Emmanuil H, Lakkis, Omar, Makridakis, Charalambos G and Virtanen, Juha M (2016) A posteriori error estimates for leap-frog and cosine methods for second order evolution problems. SIAM Journal on Numerical Analysis (SINUM), 54 (1). pp. 120-136. ISSN 0036-1429

Gilmore, Stephen J, Vaughan, Benjamin L, Madzvamuse, Anotida and Maini, Phlip K (2012) A mechanochemical model of striae distensae. Mathematical Biosciences, 240 (2). pp. 141-147. ISSN 1879-3134

Gotham, Douglas, Muthuraman, Kumar, Preckel, Paul, Rardin, Ronald and Ruangpattana, Suriya (2009) A load factor based mean-variance analysis for fuel diversification. Energy Economics, 31 (2). pp. 249-256. ISSN 0140-9883

H

Haidar, Haidar (2014) An empirical analysis of controlled risk and investment performance using risk measures: a study of risk controlled environment. Doctoral thesis (PhD), University of Sussex.

Hetzer, Georg, Madzvamuse, Anotida and Shen, Wenxian (2012) Characterization of Turing diffusion-driven instability on evolving domains. Discrete and Continuous Dynamical Systems - Series A, 32 (11). pp. 3975-4000. ISSN 1078-0947

Heuer, Christof (2014) High-order compact finite difference schemes for parabolic partial differential equations with mixed derivative terms and applications in computational finance. Doctoral thesis (PhD), University of Sussex.

I

Ignat, Radu, Nguyen, Luc, Slastikov, Valeriy and Zarnescu, Arghir (2015) Stability of the melting hedgehog in the Landau-de Gennes theory of nematic liquid crystals. Archive for Rational Mechanics and Analysis, 215 (2). pp. 633-673. ISSN 0003-9527

Ignat, Radu, Nguyen, Luc, Slastikov, Valeriy and Zarnescu, Arghir (2013) Stability of the vortex defect in the Landau-de Gennes theory for nematic liquid crystals. Comptes Rendus Mathématique, 351 (13-14). pp. 533-537. ISSN 1631-073X

Ignat, Radu, Nguyen, Luc, Slastikov, Valeriy and Zarnescu, Arghir (2014) Uniqueness results for an ODE related to a generalized Ginzburg-Landau model for liquid crystals. SIAM Journal on Mathematical Analysis, 46 (5). pp. 3390-3425. ISSN 0036-1410

Ignatova, Mihaela, Iyer, Gautam, Kelliher, James P, Pego, Robert L and Zarnescu, Arghir D (2015) Global existence for two extended Navier-Stokes systems. Communications in Mathematical Sciences, 13 (1). pp. 249-267. ISSN 1539-6746

Irving, T J, Blyuss, K B, Colijn, C and Trotter, C L (2012) Modelling meningococcal meningitis in the African meningitis belt. Epidemiology and Infection, 140 (05). pp. 897-905. ISSN 1469-4409

Iyer, Gautam, Pego, Robert L and Zarnescu, Arghir (2012) Coercivity and stability results for an extended Navier-Stokes system. Journal of Mathematical Physics, 53. p. 115605. ISSN 0022-2488

J

Jensen, A and Melgaard, M (2002) Perturbation of eigenvalues embedded at a threshold. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 132 (1). pp. 163-179. ISSN 0308-2105

Johnson, Tomas and Melgaard, Michael (2005) On the maximal ionization for the atomic Pauli operator. Proceedings of the Royal Society A, 461 (2063). pp. 3355-3364. ISSN 1471-2946

Juma, Victor Ogesa (2019) Data-driven mathematical modelling and simulation of Rho-Myosin dynamics. Doctoral thesis (PhD), University of Sussex.

K

Karnessis, Eleftheria (2019) Effective discontinuous interface coupled models for atomistic energy minimisation. Doctoral thesis (PhD), University of Sussex.

Kinyanjui, Timothy, Middleton, Jo, Güttel, Stefan, Cassell, Jackie, Ross, Joshua and House, Thomas (2018) Scabies in residential care homes: modelling, inference and interventions for well-connected population sub-units. PLoS Computational Biology, 14 (3). e1006046. ISSN 1553-7358

Kirr, E and Zarnescu, A (2009) On the asymptotic stability of bound states in 2D cubic Schrödinger equation. Communications in Mathematical Physics, 272 (2). pp. 443-468. ISSN 0010-3616

Kirr, Eduard, Wilkinson, Mark and Zarnescu, Arghir (2014) Dynamic statistical scaling in the Landau–de Gennes theory of nematic liquid crystals. Journal of Statistical Physics, 155 (4). pp. 625-657. ISSN 0022-4715

Koumatos, Konstantinos, Rindler, Filip and Wiedemann, Emil (2015) Differential inclusions and young measures involving prescribed Jacobians. SIAM Journal on Mathematical Analysis, 47 (2). pp. 1169-1195. ISSN 0036-1410

Koumatos, Konstantinos, Rindler, Filip and Wiedemann, Emil (2016) Orientation-preserving Young measures. Quarterly Journal of Mathematics, 67 (3). pp. 439-466. ISSN 0033-5606

Koumatos, Konstantinos and Spirito, Stefano (2020) Corrigendum: quasiconvex elastodynamics: weak‐strong uniqueness for measure‐valued solutions. Communications on Pure and Applied Mathematics. ISSN 0010-3640

Kungsman, J and Melgaard, M (2014) Complex absorbing potential method for Dirac operators. Clusters of resonances. Journal of Operator Theory, 71 (1). pp. 259-283. ISSN 1841-7744

Kungsman, J and Melgaard, M (2014) Complex absorbing potential method for the perturbed Dirac operator. Communications in Partial Differential Equations, 39 (8). pp. 1451-1478. ISSN 0360-5302

Kungsman, J and Melgaard, M (2014) Existence of Dirac resonances in the semi-classical limit. Dynamics of Partial Differential Equations, 11 (4). pp. 381-395. ISSN 1548-159X

Kungsman, Jimmy and Melgaard, Michael (2010) Complex absorbing potential method for systems. Dissertationes Mathematicae, 469. pp. 1-58. ISSN 0012-3862

Kyrychko, Yuliya, Blyuss, Konstantin and Schöll, E (2011) Amplitude death in systems of coupled oscillators with distributed-delay coupling. European Physical Journal B: Condensed Matter and Complex Systems, 84 (2). pp. 307-315. ISSN 1434-6028

L

Lakkis, Omar, Makridakis, Charalambos and Pryer, Tristan (2014) A comparison of duality and energy a posteriori estimates for L∞(0,T;L2(Ω)) in parabolic problems. Mathematics of Computation, 84 (294). pp. 1537-1569. ISSN 0025-5718

Lakkis, Omar and Pryer, Tristan (2015) An adaptive finite element method for the infinity Laplacian. European Numerical Mathematics Conference 2013 EPF Lausanne, École Polytechnique Fédérale de Lausanne, 26-30 August 2013. Published in: Numerical Mathematics and Advanced Applications - ENUMATH 2013. (103) 283-291. Springer International Publishing ISSN 1439-7358 ISBN 9783319107042

Lazzaroni, Giuliano, Palombaro, Mariapia and Schlömerkemper, Anja (2013) Dislocations in nanowire heterostructures: from discrete to continuum. PAMM - Proceedings in Applied Mathematics and Mechanics, 13 (1). pp. 541-544. ISSN 1617-7061

Lazzaroni, Giuliano, Palombaro, Mariapia and Schlömerkemper, Anja (2015) A discrete to continuum analysis of dislocations in nanowire heterostructures. Communications in Mathematical Sciences, 13 (5). pp. 1105-1133. ISSN 1539-6746

Li, D D-U, Poland, S, Coelho, S, Tyndall, D, Zhang, W, Richardson, J, Henderson, R K and Ameer-Beg, S M (2013) Advanced fluorescence lifetime imaging algorithms for CMOS single-photon sensor based multi-focal multi-photon microscopy. In: Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC), 3-7 July 2013, Osaka, Japan.

Lockwood, Steven (2023) Special functions and analysis on smooth metric measure spaces. Doctoral thesis (PhD), University of Sussex.

Lázaro, I I, Pineda Garcia, G, Espinosa, E and Zavala, S (2008) Analysis of time-varying power system loads via Chebyshev polynomials. 2008 Electronics, Robotics and Automotive Mechanics Conference (CERMA '08), Cuernavaca, Morelos, Mexico, 30 Sept.-3 Oct. 2008. Published in: 2008 Electronics, Robotics and Automotive Mechanics Conference (CERMA '08). 332-337. IEEE ISBN 9780769533209

López-Méndez, A, Westling, C E I, Emonet, R, Easteal, M, Lavia, L, Witchel, H J and Odobez, J-M (2014) Automated bobbing and phase analysis to measure walking entrainment to music. In: IEEE International Conference on Image Processing, 27-30 October 2014, Paris.

M

Madzvamuse, A and Barreira, R (2014) Exhibiting cross-diffusion-induced patterns for reaction-diffusion systems on evolving domains and surfaces. Physical Review E, 90 (4). 043307-1. ISSN 1539-3755

Madzvamuse, A and Chung, A H (2016) Analysis and simulations of coupled bulk-surface reaction-diffusion systems on exponentially evolving volumes. Mathematical Modelling of Natural Phenomena, 11 (5). pp. 4-32. ISSN 0973-5348

Madzvamuse, Anotida, Chung, Andy H W and Venkataraman, Chandrasekhar (2015) Stability analysis and simulations of coupled bulk-surface reaction–diffusion systems. Proceedings of the Royal Society A, 471 (2175). a20140546. ISSN 1364-5021

Madzvamuse, Anotida, Gerisch, Alf and Barreira, Raquel (2018) Cross-diffusion in reaction-diffusion models: analysis, numerics and applications. Published in: ECMI 2016: Progress in Industrial Mathematics at ECMI 2016. 26 385-392. Springer ISBN 9783319630816

Madzvamuse, Anotida, Leube, Rudolf E, Othmer, Hans and Merkel, Rudolf (2015) Coupling geometric PDEs with physics, cell morphology, motility and pattern formation. In: Coupling geometric PDEs with physics, cell morphology, motility and pattern formation, 13th July 2015 to 18th December 2015.

Madzvamuse, Anotida, Ndakwo, Hussaini S and Barreira, Raquel (2015) Cross-diffusion-driven instability for reaction-diffusion systems: analysis and simulations. Journal of Mathematical Biology, 70 (4). pp. 709-743. ISSN 0303-6812

Madzvamuse, Anotida, Ndakwo, Hussaini S and Barreira, Raquel (2016) Stability analysis of reaction-diffusion models on evolving domains: the effects of cross-diffusion. Discrete and Continuous Dynamical Systems - Series A, 36 (4). pp. 2133-2170. ISSN 1078-0947

McCormick, David S, Olson, Eric J, Robinson, James C, Rodrigo, Jose L, Vidal-López, Alejandro and Zhou, Yi (2016) Lower bounds on blowing-up solutions of the three-dimensional Navier–Stokes equations in H˙^{3/2}, H˙^{5/2}, and B˙^{5/2}_{2,1}. SIAM Journal on Mathematical Analysis (SIMA), 48 (3). pp. 2119-2132. ISSN 0036-1410

McCormick, David S, Robinson, James C and Rodrigo, Jose L (2015) Existence and uniqueness for a coupled parabolic-elliptic model with applications to magnetic relaxation. Archive for Rational Mechanics and Analysis, 214 (2). pp. 503-523. ISSN 0003-9527

McCormick, David S, Robinson, James C and Rodrigo, Jose L (2013) Generalised Gagliardo–Nirenberg inequalities using weak Lebesgue spaces and BMO. Milan Journal of Mathematics, 81 (2). pp. 265-289. ISSN 1424-9286

Melgaard, M (2007) Confinement effects on scattering for a nanoparticle. Acta Physica Polonica B, 38 (1). pp. 197-214. ISSN 0587-4254

Melgaard, M, Ouhabaz, E-M and Rozenblum, G (2004) Negative discrete spectrum of perturbed multivortex Aharonov-Bohm Hamiltonians. Annales Henri Poincare, 5 (5). pp. 979-1012. ISSN 1424-0637

Melgaard, M and Rozenblum, G (2003) Eigenvalue asymptotics for weakly perturbed Dirac and Schrödinger operators with constant magnetic fields of full rank. Communications in Partial Differential Equations, 28 (3-4). pp. 697-736. ISSN 0360-5302

Melgaard, M and Zongo, F (2012) Multiple solutions of the quasirelativistic Choquard equation. Journal of Mathematical Physics, 53. ISSN 0022-2488

Melgaard, Michael (2004) Bound states for the three-dimensional Aharonov-Bohm quantum wire. Few-Body Systems, 35 (1-2). pp. 77-97. ISSN 0177-7963

Melgaard, Michael (2007) Confinement effects on scattering for a nanoparticle. In: Proceedings of the International Conference ``APLIMAT 2007'', February 6 - 9, 2007, Bratislava, Slovak Republic.

Melgaard, Michael (2002) New approach to quantum scattering near the lowest Landau threshold for a Schrödinger operator with a constant magnetic field. Few-Body Systems, 32 (1-2). pp. 1-22. ISSN 0177-7963

Melgaard, Michael (2002) On bound states for systems of weakly coupled Schrödinger equations in one space dimension. Journal of Mathematical Physics, 43 (11). pp. 5365-5385. ISSN 0022-2488

Melgaard, Michael (2005) Optimal limiting absorption principle for a Schrödinger type operator on a Lipschitz cylinder. Manuscripta Mathematica, 118 (2). pp. 253-270. ISSN 0025-2611

Melgaard, Michael (2007) Quantum collisions in semi-constrainted structures. Modern Physics Letters B, 21 (13). pp. 767-779. ISSN 0217-9849

Melgaard, Michael (2003) Quantum scattering near the lowest Landau threshold for a Schrödinger operator with a constant magnetic field. Central European Journal of Mathematics, 1 (4). pp. 477-509. ISSN 1895-1074

Melgaard, Michael (2007) Scattering properties for a pair of Schrödinger type operators on cylindrical domains. Central European Journal of Mathematics, 5 (1). pp. 134-153. ISSN 1895-1074

Melgaard, Michael (2001) Spectral properties at a threshold for two-channel Hamiltonians I. Abstract theory. Journal of Mathematical Analysis and Applications, 256 (1). pp. 281-303. ISSN 0022-247X

Melgaard, Michael (2001) Spectral properties at a threshold for two-channel Hamiltonians. II. Applications to scattering theory. Journal of Mathematical Analysis and Applications, 256 (2). pp. 568-586. ISSN 0022-247X

Melgaard, Michael (2002) Spectral properties in the low-energy limit of one-dimensional Schrödinger operators H = –d2/dx2 + V. The Case 〈1, V1〉 ≠ 0. Mathematische Nachrichten, 238 (1). pp. 113-143. ISSN 0025-584X

Melgaard, Michael (2006) Strong asymptotic completeness of a quantum wire. In: Proceedings of the International Conference ``Days on Diffraction 2006'', May 30 -- June 2, 2006, St. Petersburg, Russia.

Melgaard, Michael (2006) Thresholds properties for matrix-valued Schr\"{o}dinger operators, II. Resonances. Journal of Differential Equations, 226 (2). pp. 687-703. ISSN 0022-0396

Melgaard, Michael (2005) Thresholds properties for matrix-valued Schrödinger operators. Journal of Mathematical Physics, 46 (8). 083507. ISSN 0022-2488

Melgaard, Michael and Rozenblum, Gregory V (1996) Spectral estimates for magnetic operators. Mathematica Scandinavica, 79. pp. 237-254. ISSN 0025-5521

Miles, James (2019) Numerical and optimal control methods for partial differential equations arising in computational finance. Doctoral thesis (PhD), University of Sussex.

Montino, Alessandro, Soprano-Loto, Nahuel and Tsagkarogiannis, Dimitrios (2016) Thermodynamics for spatially inhomogeneous magnetization and Young-Gibbs measures. Journal of Statistical Physics, 164 (6). pp. 1318-1353. ISSN 0022-4715

Müller, Stefan and Palombaro, Mariapia (2013) Derivation of a rod theory for biphase materials with dislocations at the interface. Calculus of Variations and Partial Differential Equations, 48 (3-4). pp. 315-335. ISSN 0944-2669

Müller, Stefan and Palombaro, Mariapia (2014) On a differential inclusion related to the Born--Infeld equations. SIAM Journal on Mathematical Analysis, 46 (4). pp. 2385-2403. ISSN 0036-1410

N

Nesi, Vincenzo, Palombaro, Mariapia and Ponsiglione, Marcello (2014) Gradient integrability and rigidity results for two-phase conductivities in two dimensions. Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire, 31 (3). pp. 615-638. ISSN 0294-1449

Nguyen, Luc and Zarnescu, Arghir (2013) Refined approximation for minimizers of a Landau-de Gennes energy functional. Calculus of Variations and Partial Differential Equations, 47 (1-2). pp. 383-432. ISSN 0944-2669

O

Okonna, Ime Udo (2018) Time-delayed models of infectious diseases dynamics. Doctoral thesis (PhD), University of Sussex.

Ordonez Morales, Francisco Javier and Roggen, Daniel (2016) Deep convolutional feature transfer across mobile activity recognition domains, sensor modalities and locations. In: 20th International Symposiumon Wearable Computers (ISWC) 2016, 12-16 September 2016, Heidelberg, Germany.

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Palombaro, Mariapia (2010) Rank-(n – 1) convexity and quasiconvexity for divergence free fields. Advances in Calculus of Variations, 3 (3). pp. 279-285. ISSN 1864-8258

Palombaro, Mariapia, Lazzaroni, Giuliano and Schlömerkemper, Anja (2015) Rigidity of three-dimensional lattices and dimension reduction in heterogeneous nanowires. Discrete and Continuous Dynamical Systems - Series S, 10 (1). pp. 119-139. ISSN 1937-1632

Pei, Yong-Chen, Chatwin, Chris, He, Ling and Li, Wen-Zuo (2017) A thermal boundary control method for a flexible thin disk rotating over critical and supercritical speeds. Meccanica, 52 (1). pp. 383-401. ISSN 0025-6455

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