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- W4308291842 abstract "The weak-strong uniqueness for Maxwell--Stefan systems and some generalized systems is proved. The corresponding parabolic cross-diffusion equations are considered in a bounded domain with no-flux boundary conditions. The key points of the proofs are various inequalities for the relative entropy associated to the systems and the analysis of the spectrum of a quadratic form capturing the frictional dissipation. The latter task is complicated by the singular nature of the diffusion matrix. This difficulty is addressed by proving its positive definiteness on a subspace and using the Bott--Duffin matrix inverse. The generalized Maxwell--Stefan systems are shown to cover several known cross-diffusion systems for the description of tumor growth and physical vapor deposition processes." @default.
- W4308291842 created "2022-11-10" @default.
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- W4308291842 date "2021-10-11" @default.
- W4308291842 modified "2023-09-28" @default.
- W4308291842 title "Weak-strong uniqueness for Maxwell-Stefan systems" @default.
- W4308291842 doi "https://doi.org/10.48550/arxiv.2110.05331" @default.
- W4308291842 hasPublicationYear "2021" @default.
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