Zobrazeno 1 - 10
of 144
pro vyhledávání: '"Seis, Christian"'
Autor:
Meyer, David, Seis, Christian
In this work, we construct traveling wave solutions to the two-phase Euler equations, featuring a vortex sheet at the interface between the two phases. The inner phase exhibits a uniform vorticity distribution and may represent a vacuum, forming what
Externí odkaz:
http://arxiv.org/abs/2409.08220
In the vanishing viscosity limit from the Navier-Stokes to Euler equations on domains with boundaries, a main difficulty comes from the mismatch of boundary conditions and, consequently, the possible formation of a boundary layer. Within a purely int
Externí odkaz:
http://arxiv.org/abs/2406.05860
We analyze the optimal regularity that is exactly propagated by a transport equation driven by a velocity field with BMO gradient. As an application, we study the 2D Euler equations in case the initial vorticity is bounded. The sharpness of our resul
Externí odkaz:
http://arxiv.org/abs/2403.13691
Autor:
Seis, Christian, Winkler, Dominik
In this note, we investigate a doubly nonlinear diffusion equation in the slow diffusion regime. We prove stability of the pressure of solutions that are close to traveling wave solutions in a homogeneous Lipschitz sense. We derive regularity estimat
Externí odkaz:
http://arxiv.org/abs/2401.10597
Autor:
Seis, Christian, Winkler, Dominik
We examine the large-time behavior of axisymmetric solutions without swirl of the Navier--Stokes equation in $\mathbb{R}^3$. We construct higher-order asymptotic expansions for the corresponding vorticity. The appeal of this work lies in the simplici
Externí odkaz:
http://arxiv.org/abs/2311.03914
Autor:
Choi, Beomjun, Seis, Christian
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 manifolds that provide a finite-dimensional approximation near the vanishi
Externí odkaz:
http://arxiv.org/abs/2308.15032
We establish a regularity result for optimal sets of the isoperimetric problem with double density under mild ($\alpha$-)H\"older regularity assumptions on the density functions. Our main Theorem improves some previous results and allows to reach in
Externí odkaz:
http://arxiv.org/abs/2304.05867
Autor:
Seis, Christian, Winkler, Dominik
The large-time behavior of solutions to the thin film equation with linear mobility in the complete wetting regime on $\mathbb{R}^N$ is examined: We investigate the higher order asymptotics of solutions converging towards self-similar Smyth--Hill sol
Externí odkaz:
http://arxiv.org/abs/2212.02262
Autor:
Meyer, David, Seis, Christian
It is known that linear advection equations with Sobolev velocity fields have very poor regularity properties: Solutions propagate only derivatives of logarithmic order, which can be measured in terms of suitable Gagliardo seminorms. We propose a new
Externí odkaz:
http://arxiv.org/abs/2203.10860
Autor:
Ceci, Stefano, Seis, Christian
We study the 2D Navier--Stokes solution starting from an initial vorticity mildly concentrated near $N$ distinct points in the plane. We prove quantitative estimates on the propagation of concentration near a system of interacting point vortices intr
Externí odkaz:
http://arxiv.org/abs/2203.07185