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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
A coupled stochastic differential reaction-diffusion system for angiogenesis
Markus Fellner, Ansgar Jüngel
A coupled system of nonlinear mixed-type equations modeling early stages of angiogenesis is analyzed in a bounded domain. The system consists of stochastic differential equations d…
math.AP2022
Analysis of a fractional cross-diffusion system for multi-species populations
Ansgar Jüngel, Nicola Zamponi
The global in time existence of weak solutions to a cross-diffusion system with fractional diffusion in the whole space is proved. The equations describe the evolution of multi-spe…