96 citations · 490 across the 38 of their papers we have counts for
5 papers · 1 filter
On a range of exponents for absence of Lavrentiev phenomenon for double phase functionals
Miroslav Bulíček, Piotr Gwiazda, Jakub Skrzeczkowski
For a class of functionals having the -growth, we establish an improved range of exponents , for which the Lavrentiev phenomenon does not occur. The proof is based on…
Measure Differential Equation with a Nonlinear Growth/Decay Term
Christian Düll, Piotr Gwiazda, Anna Marciniak-Czochra +1
We obtain an existence result for a Measure Differential Equation with an additional nonlinear growth/decay term that may change the sign. The proof requires a modification of appr…
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…
Convergence of the EBT method for a non-local model of cell proliferation with discontinuous interaction kernel
Piotr Gwiazda, Błażej Miasojedow, Jakub Skrzeczkowski +1
We consider the EBT algorithm (a particle method) for the non-local equation with a discontinuous interaction kernel. The main difficulty lies in the low regularity of the kernel w…
Bayesian inference of a non-local proliferation model
Zuzanna Szymańska, Jakub Skrzeczkowski, Błażej Miasojedow +1
From a systems biology perspective the majority of cancer models, although interesting and providing a qualitative explanation of some problems, have a major disadvantage in that t…