The main goal of the project is to exploit synergies of available entropy methods for several well-chosen physically relevant models, including compressible fluid dynamics, multi-component and multiphase models, and cross-diffusion models arising in gas mixture theory and cell biology. Our plan is to develop a general framework for entropy methods both in analysis and numerics that will allow us to extend and generalize partial results already existing for particular models to a general class of models with the common feature of being thermodynamically consistent.

Research Team: Eduard Feireisl (Czech Academy of Sciences), Ansgar Jüngel (TU of Vienna) and Mária Lukáčová (Johannes Gutenberg-Universität Mainz)

Dates of Stay: First stay: October 3 - 14, 2024, Second stay: December 8 - 20, 2024