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math.AP2022
On the global well-posedness and Gevrey regularity of some electrodiffusion models
Elie Abdo, Fizay-Noah Lee, Weinan Wang
We consider the Nernst-Planck equations describing the nonlinear time evolution of multiple ionic concentrations in a two-dimensional incompressible fluid. The velocity of the flui…
math.AP2022
Kinetic Schauder estimates with time-irregular coefficients and uniqueness for the Landau equation
Christopher Henderson, Weinan Wang
We prove a Schauder estimate for kinetic Fokker-Planck equations that requires only Hölder regularity in space and velocity but not in time. As an application, we deduce a weak-str…