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Diffusional phase transitions in multicomponent systems with a concentration dependent mobility matrix

journal contribution
posted on 2023-06-07, 21:46 authored by Charles M Elliott, Harald Garcke
A model for phase separation in multicomponent systems is studied. In particular the possibility of a concentration dependence of the mobility matrix is taken into account. This leads to a system of fourth-order degenerate parabolic partial differential equations. We derive these equations from balance laws, show some properties of the model and prove a global existence result for the degenerate system.

History

Publication status

  • Published

Journal

Physica D: Nonlinear Phenomena

ISSN

0167-2789

Publisher

Elsevier

Issue

3-4

Volume

109

Page range

242-256

ISBN

0167-2789

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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