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math.AP2021★ 4 cited
On the dynamics of point vortices for the 2D Euler equation with vorticity
Stefano Ceci, Christian Seis
We study the evolution of solutions to the 2D Euler equations whose vorticity is sharply concentrated in the Wasserstein sense around a finite number of points. Under the assumptio…
math.AP2021
Optimal stability estimates and a new uniqueness result for advection-diffusion equations
Víctor Navarro-Fernández, André Schlichting, Christian Seis
This paper contains two main contributions. First, it provides optimal stability estimates for advection-diffusion equations in a setting in which the velocity field is Sobolev reg…