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Diffusional phase transitions in multicomponent systems with a concentration dependent mobility matrix
journal contributionposted 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.
JournalPhysica D: Nonlinear Phenomena
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- Mathematics Publications
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