Zobrazeno 1 - 10
of 506
pro vyhledávání: '"A. Hofmanova"'
We consider stochastic forced Navier--Stokes equations on $\mathbb{R}^{3}$ starting from zero initial condition. The noise is linear multiplicative and the equations are perturbed by an additional body force. Based on the ideas of Albritton, Bru\'e a
Externí odkaz:
http://arxiv.org/abs/2309.03668
We consider a family of singular surface quasi-geostrophic equations $$ \partial_{t}\theta+u\cdot\nabla\theta=-\nu (-\Delta)^{\gamma/2}\theta+(-\Delta)^{\alpha/2}\xi,\qquad u=\nabla^{\perp}(-\Delta)^{-1/2}\theta, $$ on $[0,\infty)\times\mathbb{T}^{2}
Externí odkaz:
http://arxiv.org/abs/2308.14358
Autor:
Debussche, Arnaud, Hofmanová, Martina
We address a slow-fast system of coupled three dimensional Navier--Stokes equations where the fast component is perturbed by an additive Brownian noise. By means of the rough path theory, we establish the convergence in law of the slow component towa
Externí odkaz:
http://arxiv.org/abs/2306.15781
We present two approaches to establish the exponential decay of correlation functions of Euclidean quantum field theories (EQFTs) via stochastic quantization (SQ). In particular we consider the elliptic stochastic quantization of the H{\o}egh--Krohn
Externí odkaz:
http://arxiv.org/abs/2305.12017
We propose a novel approach to induce anomalous dissipation through advection driven by turbulent fluid flows. Specifically, we establish the existence of a velocity field $v$ satisfying randomly forced Navier-Stokes equations, leading to total dissi
Externí odkaz:
http://arxiv.org/abs/2305.08090
We identify a sufficient condition under which solutions to the 3D forced Navier--Stokes equations satisfy an $L^p$-in-time version of the Kolmogorov 4/5 law for the behavior of the averaged third order longitudinal structure function along the vanis
Externí odkaz:
http://arxiv.org/abs/2304.14470
Publikováno v:
Probab. Theory Relat. Fields (2023)
We construct H\"older continuous, global-in-time probabilistically strong solutions to 3D Euler equations perturbed by Stratonovich transport noise. Kinetic energy of the solutions can be prescribed a priori up to a stopping time, that can be chosen
Externí odkaz:
http://arxiv.org/abs/2212.12217
Autor:
Hofmanová, Martina, Bechtold, Florian
Recent years have seen spectacular progress in the mathematical study of hydrodynamic equations. Novel tools from convex integration in particular prove extremely versatile in establishing non-uniqueness results. Motivated by this 'pathological' beha
Externí odkaz:
http://arxiv.org/abs/2211.03159
We establish the existence of infinitely many stationary solutions, as well as ergodic stationary solutions, to the three dimensional Navier--Stokes and Euler equations in both deterministic and stochastic settings, driven by additive noise. These so
Externí odkaz:
http://arxiv.org/abs/2208.08290
We study the surface quasi-geostrophic equation with an irregular spatial perturbation $$ \partial_{t }\theta+ u\cdot\nabla\theta = -\nu(-\Delta)^{\gamma/2}\theta+ \zeta,\qquad u=\nabla^{\perp}(-\Delta)^{-1}\theta, $$ on $[0,\infty)\times\mathbb{T}^{
Externí odkaz:
http://arxiv.org/abs/2205.13378