25 citations · 48 across the 8 of their papers we have counts for
5 papers · 1 filter
Discrete approximation of the minimizing movement scheme for evolution equations of Wasserstein gradient flow type with nonlinear mobility
Jonathan Zinsl, Daniel Matthes
We propose a fully discrete variational scheme for nonlinear evolution equations with gradient flow structure on the space of finite Radon measures on an interval with respect to a…
Existence of solutions for a class of fourth order cross-diffusion systems of gradient flow type
Daniel Matthes, Jonathan Zinsl
This article is concerned with the existence and the long time behavior of weak solutions to certain coupled systems of fourth-order degenerate parabolic equations of gradient flow…
Well-posedness of evolution equations with time-dependent nonlinear mobility: a modified minimizing movement scheme
Jonathan Zinsl
We prove the existence of nonnegative weak solutions to a class of second and fourth order nonautonomous nonlinear evolution equations with an explicitly time-dependent mobility fu…
The gradient flow of a generalized Fisher information functional with respect to modified Wasserstein distances
Jonathan Zinsl
This article is concerned with the existence of nonnegative weak solutions to a particular fourth-order partial differential equation: it is a formal gradient flow with respect to…
High-frequency limit of non-autonomous gradient flows
Simon Plazotta, Jonathan Zinsl
We study the high-frequency limit of non-autonomous gradient flows in metric spaces of energy functionals comprising an explicitly time-dependent perturbation term which might osci…