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of 588
pro vyhledávání: '"76U05"'
This article establishes estimates on the dimension of the global attractor of the two-dimensional rotating Navier-Stokes equation for viscous, incompressible fluids on the $\beta$-plane. Previous results in this setting by M.A.H. Al-Jaboori and D. W
Externí odkaz:
http://arxiv.org/abs/2409.02868
In order to investigate the emergence of periodic oscillations of rimming flows, we study analytically the stability of steady states for the model of (Benilov, Kopteva, O'Brien, 2005), which describes the dynamics of a thin fluid film coating the in
Externí odkaz:
http://arxiv.org/abs/2406.11690
This paper revolves around the existence of V-states close to Rankine vortices for active scalar equations with completely monotone kernels. This allows to unify various results on this topic related to geophysical flows. A key ingredient is a new fa
Externí odkaz:
http://arxiv.org/abs/2312.02874
In this paper, we address for the 2D Euler equations the existence of rigid time periodic solutions close to stationary radial vortices of type $f_0(|x|){\bf 1}_{\mathbb{D}}(x)$, with $\mathbb{D}$ the unit disc and $f_0$ being a strictly monotonic pr
Externí odkaz:
http://arxiv.org/abs/2302.01279
In this paper we address the existence of time periodic solutions for the generalized inviscid SQG equation in the unit disc with homogeneous Dirichlet boundary condition when $\alpha\in (0,1)$. We show the existence of a countable family of bifurcat
Externí odkaz:
http://arxiv.org/abs/2210.08760
We are concerned with the long-time solvability for 2D inviscid Boussinesq equations for a larger class of initial data which covers the case of borderline regularity. First we show the local solvability in Besov spaces uniformly with respect to a pa
Externí odkaz:
http://arxiv.org/abs/2209.06969
Autor:
Aurazo-Alvarez, Leithold L.
In this work we prove the existence of stationary solutions for the tridimensional fractional Navier-Stokes- Coriolis in critical Fourier-Besov spaces. We first deal with the non-stationary fractional Navier-Stokes-Coriolis and in this framework we g
Externí odkaz:
http://arxiv.org/abs/2207.06459
Autor:
Aurazo-Alvarez, Leithold L.
In this work we prove a global well-posedness result for a tridimensional rescaled Boussinesq system, with positive full viscosity and diffusivity parameters in the framework of critical Fourier-Besov spaces. This rescaled approach permits to know th
Externí odkaz:
http://arxiv.org/abs/2207.05884
In this paper, we construct time periodic doubly connected solutions for the 3D quasi-geostrophic model in the patch setting. More specifically, we prove the existence of nontrivial $m$-fold doubly connected rotating patches bifurcating from a generi
Externí odkaz:
http://arxiv.org/abs/2206.10197
Autor:
Lyons, Tony
Publikováno v:
Journal of Mathematical Fluid Mechanics, 23, 43, (2021), 16 pages
We generate explicit height-dependent eddy viscosity coefficients in the Ekman layer from convex wind speed profiles. The solutions we obtain are parameterized in terms of the relative deflection angle between the wind directions at the top and botto
Externí odkaz:
http://arxiv.org/abs/2206.09712