File(s) not publicly available
Global existence for two extended Navier-Stokes systems
journal contribution
posted on 2023-06-08, 20:19 authored by Mihaela Ignatova, Gautam Iyer, James P Kelliher, Robert L Pego, Arghir D ZarnescuWe prove global existence of weak solutions to two systems of equations which extend the dynamics of the Navier-Stokes equations for incompressible viscous flow with no-slip boundary condition. The systems of equations we consider arise as formal limits of time discrete pressure-Poisson schemes introduced by Johnston \& Liu {[}J. Comput. Phys. 199, 221-259, 20041 and by Shirokoff \& Rosales {[}J. Comput. Phys. 230, 8619-8646, 20111 when the initial data does not satisfy the required compatibility condition. Unlike the results of Iyer et al. {[}J. Math. Phys. 53, 115605, 20121, our approach proves existence of weak solutions in domains with less than regularity. Our approach also addresses uniqueness in 2D and higher regularity.
History
Publication status
- Published
Journal
Communications in Mathematical SciencesISSN
1539-6746Publisher
International PressExternal DOI
Issue
1Volume
13Page range
249-267Place of publication
PO BOX 43502, SOMERVILLE, MA 02143 USADepartment affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2015-03-13Usage metrics
Categories
No categories selectedLicence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC