3 papers
math.AP2020
Modeling diffusion in thin -layers separated by a semi-permeable membrane
Adam Bobrowski
Motivated by models of signaling pathways in B lymphocytes, which have extremely large nuclei, we study the question of how reaction-diffusion equations in thin domains may be…
math.AP2019
Semigroup-theoretic approach to diffusion in thin layers separated by semi-permeable membranes
Adam Bobrowski
Using techniques of the theory of semigroups of linear operators we study the question of approximating solutions to equations governing diffusion in thin layers separated by a sem…
math.FA2018
Irregular convergence of mild solutions of semilinear equations
Adam Bobrowski, Markus Kunze
We prove that even irregular convergence of semigroups of operators implies similar convergence of mild solutions of the related semi-linear equations with Lipschitz continuous non…