22 citations · 27 across the 12 of their papers we have counts for
14 papers · 1 filter
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 Dębiec, Piotr Gwiazda, Błażej 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…
On a Space Fractional Stefan problem of Dirichlet type with Caputo flux
S. D. Roscani, K. Ryszewska, L. D. Venturato
We study a space-fractional Stefan problem with the Dirichlet boundary conditions. It is a model that describes superdiffusive phenomena. Our main result is the existence of the un…
Holder continuity of weak solutions to evolution equations with distributed order fractional time derivative
Adam Kubica, Katarzyna Ryszewska, Rico Zacher
We study the regularity of weak solutions to evolution equations with distributed order fractional time derivative. We prove a weak Harnack inequality for nonnegative weak supersol…
A one-phase space -- fractional Stefan problem with no liquid initial domain
Sabrina Roscani, Katarzyna Ryszewska, Lucas Venturato
Taking into account the recent works \cite{RoTaVe:2020} and \cite{Rys:2020}, we consider a phase-change problem for a one dimensional material with a non-local flux, expressed in t…
A self-similar solution to time-fractional Stefan problem
Adam Kubica, Katarzyna Ryszewska
We derive the fractional version of one-phase one-dimensional Stefan model. We assume that the diffusive flux is given by the time-fractional Riemann-Liouville derivative, i.e. we…
A space-fractional Stefan problem
Katarzyna Ryszewska
We study a space-fractional Stefan problem, where the non-local diffusion flux is modeled by the Caputo derivative. We obtain the unique existence of classical solution to this pro…
An analytic semigroup generated by a fractional differential operator
Katarzyna Ryszewska
We study a space-fractional diffusion problem, where the non-local diffusion flux involves the Caputo derivative of the diffusing quantity. We prove the unique existence of regular…
Decay of solutions to parabolic-type problem with distributed order Caputo derivative
Adam Kubica, Katarzyna Ryszewska
We consider the decay of solution to fractional diffusion equation with the distributed order Caputo derivative. We assume that the elliptic operator is time-dependent and that the…
Fractional diffusion equation with the distributed order Caputo derivative
Adam Kubica, Katarzyna Ryszewska
We consider fractional diffusion equation with the distributed order Caputo derivative. We prove existence of a weak and regular solution for general uniformly elliptic operator un…
Weak solutions of fractional differential equations in non cylindrical domain
Adam Kubica, Piotr Rybka, Katarzyna Ryszewska
We study a time fractional heat equation in a noncylindrical domain. The problem is one-dimensional. We prove existence of properly defined weak solutions by means of the Galerkin…