5 papers
The mean-field limit of non-exchangeable particle systems with non-conservative dynamics and adaptive weights
Katarzyna Ryszewska
In the paper we introduce vector-valued dynamic extended graphons in order to obtain the mean-filed limit for certain class of problems with adaptive weights. We impose fairly gene…
A note on application of mean-field limit to non-exchangeable non-conservative systems
Piotr Gwiazda, Katarzyna Ryszewska
In this paper we apply the newly developed theory of extended graphons to a certain class of non-exchangeable, non-conservative problems. We establish the mean-field limit by provi…
On the Harnack inequality for time-fractional and more general non-local in time subdiffusion equations
Katarzyna Ryszewska, Rico Zacher
In this paper we establish the Harnack inequality for globally positive local solutions to a general class of nonlocal in time subdiffusion equations in one space dimension, which…
Lipschitz stability for Bayesian inference in porous medium tissue growth models
Tomasz DÄbiec, Piotr Gwiazda, BÅażej Miasojedow +3
We consider a macroscopic model for the dynamics of living tissues incorporating pressure-driven dispersal and pressure-modulated proliferation. Given a power-law constitutive rela…
Holder regularity for nonlocal in time subdiffusion equations with general kernel
Adam Kubica, Katarzyna Ryszewska, Rico Zacher
We study the regularity of weak solutions to nonlocal in time subdiffusion equations for a wide class of weakly singular kernels appearing in the generalised fractional derivative…