3 papers
math.AP2026
Incompressible limit for a two-species Brinkman model with drift
Tomasz Dębiec, Valentin Vincent Neumann, Markus Schmidtchen
We study a two-species model for tissue growth in which both populations are transported by an external drift and by a velocity potential determined through Brinkman's law. The pre…
math.AP2024
Stability of solutions of the porous medium equation with growth with respect to the diffusion exponent
Tomasz Dębiec, Piotr Gwiazda, Błażej Miasojedow +1
We consider a macroscopic model for the growth of living tissues incorporating pressure-driven dispersal and pressure-modulated proliferation. Assuming a power-law relation between…
math.AP2021
Dissipative measure-valued solutions to the Euler-Poisson equation
José A. Carrillo, Tomasz Dębiec, Piotr Gwiazda +1
We consider several pressureless variants of the compressible Euler equation driven by nonlocal repulsionattraction and alignment forces with Poisson interaction. Under an energy a…