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math.AP2022★ 1 cited
Behavior in time of solutions of a Keller--Segel system with flux limitation and source term
Monica Marras, Stella Vernier-Piro, Tomomi Yokota
In this paper we consider radially symmetric solutions of the following parabolic--elliptic cross-diffusion system \begin{equation*} \begin{cases} u_t = Δu - \nabla \cdot (u f(|\na…
math.AP2022
Hölder estimates of weak solutions to degenerate chemotaxis systems with a source term
M. Marras, F. Ragnedda, S. Vernier-Piro +1
In this note we consider degenerate chemotaxis systems with porous media type diffusion and a source term satisfying the Hadamard growth condition. We prove the Hölder regularity f…
math.AP2022
Behaviour in time of solutions to fourth-order parabolic systems with time dependent coefficients
M. Marras, S. Vernier-Piro
This paper deals with a class of initial-boundary value problems for nonlinear fourth order parabolic systems with time dependent coefficients in a bounded domain $Ω\subset \mathbb…