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pro vyhledávání: '"Schenke, Andre"'
Autor:
Modena, Stefano, Schenke, Andre
We study well-posedness for the stochastic transport equation with transport noise, as introduced by Flandoli, Gubinelli and Priola. We consider periodic solutions in $\rho \in L^{\infty}_{t} L_{x}^{p}$ for divergence-free drifts $u \in L^{\infty}_{t
Externí odkaz:
http://arxiv.org/abs/2306.08758
Autor:
Rehmeier, Marco, Schenke, Andre
We study the incompressible hypodissipative Navier-Stokes equations with dissipation exponent $0 < \alpha < \frac{1}{2}$ on the three-dimensional torus perturbed by an additive Wiener noise term and prove the existence of an initial condition for whi
Externí odkaz:
http://arxiv.org/abs/2104.10798
Autor:
Schenke, Andre
We study the tamed magnetohydrodynamics equations, introduced recently in a paper by the author, perturbed by multiplicative Wiener noise of transport type on the whole space $\mathbb{R}^{3}$ and on the torus $\mathbb{T}^{3}$. In a first step, existe
Externí odkaz:
http://arxiv.org/abs/2004.11034
Autor:
Schenke, Andre
We study a regularised version of the magnetohydrodynamics (MHD) equations, the tamed MHD (TMHD) equations. They are a model for the flow of electrically conducting fluids through porous media. We prove existence and uniqueness of TMHD on the whole s
Externí odkaz:
http://arxiv.org/abs/2003.06084
Publikováno v:
J. Differential Equations 269 (2020), 3414-3455
We prove the existence of random dynamical systems and random attractors for a large class of locally monotone stochastic partial differential equations perturbed by additive L\'{e}vy noise. The main result is applicable to various types of SPDE such
Externí odkaz:
http://arxiv.org/abs/1908.03539
Autor:
MODENA, STEFANO, SCHENKE, ANDRE
Publikováno v:
SIAM Journal on Mathematical Analysis; 2024, Vol. 56 Issue 4, p5209-5261, 53p
Publikováno v:
In Journal of Differential Equations 5 August 2020 269(4):3414-3455
Autor:
Schenke, Andre, Shkarin, Stanislav
According to Grivaux, the group $GL(X)$ of invertible linear operators on a separable infinite dimensional Banach space $X$ acts transitively on the set $\Sigma(X)$ of countable dense linearly independent subsets of $X$. As a consequence, each $A\in
Externí odkaz:
http://arxiv.org/abs/1205.0414
Akademický článek
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Autor:
Schenke, Andre, Shkarin, Stanislav
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 May 2013 401(1):209-217