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math.AP2023
Fine large-time asymptotics for the axisymmetric Navier--Stokes equations
Christian Seis, Dominik Winkler
We examine the large-time behavior of axisymmetric solutions without swirl of the Navier--Stokes equation in . We construct higher-order asymptotic expansions for the…
math.AP2023
Finite-dimensional leading order dynamics for the fast diffusion equation near extinction
Beomjun Choi, Christian Seis
The fast diffusion equation is analyzed on a bounded domain with Dirichlet boundary conditions, for which solutions are known to extinct in finite time. We construct invariant mani…
math.AP2023
Optimal regularity of isoperimetric sets with Hölder densities
Lisa Beck, Eleonora Cinti, Christian Seis
We establish a regularity result for optimal sets of the isoperimetric problem with double density under mild (-)Hölder regularity assumptions on the density functions. Our main…