An entropy stable high-order discontinuous Galerkin method for cross-diffusion gradient flow systems

As an extension of our previous work in [41], we develop a discontinuous Galerkin method for solving cross-diffusion systems with a formal gradient flow structure. These systems are associated with non-increasing entropy functionals. For a class of problems, the positivity (non-negativity) of soluti...

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Bibliografiske detaljer
Main Authors: Sun, Z, Carrillo De La Plata, JA, Shu, C-W
Format: Journal article
Sprog:English
Udgivet: American Institute of Mathematical Sciences 2019