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math.AP2023
On the self-similar stability of the parabolic-parabolic Keller-Segel equation
Frank Alvarez Borges, Kleber Carrapatoso, Stéphane Mischler
We consider the parabolic-parabolic Keller-Segel equation in the plane and prove the nonlinear exponential stability of the self-similar profile in a quasi parabolic-elliptic regim…
math.AP2023
Hydrodynamic limit for the non-cutoff Boltzmann equation
Chuqi Cao, Kleber Carrapatoso
This work deals with the non-cutoff Boltzmann equation for all type of potentials, in both the torus and in the whole space , under the incompressible…