6 citations · 7 across the 5 of their papers we have counts for
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Global solutions to cross-diffusion systems with independent advections in one dimension
Jakub Skrzeczkowski
We consider cross-diffusion systems describing evolution of two species and moving according to Darcy's law with the pressure law where $s=u+…
Strong convergence of sequences with vanishing relative entropy
Nuno J. Alves, Jakub Skrzeczkowski, Athanasios E. Tzavaras
We show that under natural growth conditions on the entropy function, convergence in relative entropy is equivalent to -convergence. The main tool is the theory of Young measu…
Structured Population Models on Polish spaces: A unified Approach including Graphs, Riemannian Manifolds and Measure Spaces to describe Dynamics of Heterogeneous Populations
Christian Düll, Piotr Gwiazda, Anna Marciniak-Czochra +1
This paper presents a mathematical framework for modeling the dynamics of heterogeneous populations. Models describing local and non-local growth and transport processes, dependent…
Fast reaction limit and forward-backward diffusion: a Radon-Nikodym approach
Jakub Skrzeczkowski
We consider two singular limits: fast reaction limit with nonmonotone nonlinearity and regularization of forward-backward diffusion equation. It was proved by Plotnikov that for cu…
Measure solutions to perturbed structured population models - differentiability with respect to perturbation parameter
Jakub Skrzeczkowski
This paper is devoted to study measure solutions to perturbed nonlinear structured population models where denotes time and controlls the size of perturbation. We a…