25 citations · 48 across the 8 of their papers we have counts for
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math.AP2015
Existence of weak solutions to a class of fourth order partial differential equations with Wasserstein gradient structure
Daniel Loibl, Daniel Matthes, Jonathan Zinsl
We prove the global-in-time existence of nonnegative weak solutions to a class of fourth order partial differential equations on a convex bounded domain in arbitrary spatial dimens…
math.AP2015★ 4 cited
Exponential convergence to equilibrium in a Poisson-Nernst-Planck-type system with nonlinear diffusion
Jonathan Zinsl
We investigate a Poisson-Nernst-Planck type system in three spatial dimensions where the strength of the electric drift depends on a possibly small parameter and the particles are…
math.AP2015★ 3 cited
A note on the variational analysis of the parabolic-parabolic Keller-Segel system in one spatial dimension
Jonathan Zinsl
We prove the existence of global-in-time weak solutions to a version of the parabolic-parabolic Keller-Segel system in one spatial dimension. If the coupling of the system is suita…