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math.AP2022★ 4 cited
Hyperbolic-parabolic normal form and local classical solutions for cross-diffusion systems with incomplete diffusion
Pierre-Étienne Druet, Katharina Hopf, Ansgar Jüngel
We investigate degenerate cross-diffusion equations with a rank-deficient diffusion matrix that are considered to model populations which move as to avoid spatial crowding and have…
math.AP2022
Incompressible limit for a fluid mixture
Pierre-Etienne Druet
In this paper we discuss the incompressible limit for multicomponent fluids in the isothermal ideal case. Both a direct limit-passage in the equation of state and the low Mach-numb…