In this note we study the 2D stochastic quasi-geostrophic equation in 𝕋2 for general parameter u03b1 u2208 (0, 1) and multiplicative noise. We prove the existence of martingale solutions and pathwise uniqueness under some condition in the general case, i.e. for all u03b1 u2208 (0, ...
On the critical dissipative quasi-geostrophic equation对临界耗散准地转方程 热度: Quasi-geostrophic approximation of anelastic convection(非弹性对流的准地转近似) 热度: A multiscale dynamo model driven by quasi-geostrophic convection(准地转对流驱动的多尺度发电机模型) 热度: 相关推荐 On the ...
Quasi-geostrophic equationInfinite delayStationary solutionStabilityAsymptotic stabilityPolynomial stabilityIn this paper, fractionally dissipative 2D quasi-geostrophic equations with an external force containing infinite delay is considered in the space \\(H^s\\) with \\(s\\ge 2-2\\alpha \\) and \...
IntroductionWe consider the surface 2D quasi-geostrophic equation for ascalar θ(t,x) defined on [0,T) × R2:(QG)α∂tθ + u · ∇θ + kΛ2αθ = 0u = −R⊥θ = −(−R2θ, R1θ)θ(0,·) = θ0(1)where k ≥ 0 and Λ is the operator (−∆)...
Yu. Level set dynamics and the non-blowup of the 2D quasi-geostrophic equation. Methods Appl. Anal., 13(2):157-180, 2006.Jian Deng, Thomas Y. Hou, Ruo Li, and Xinwei Yu. Level set dynamics and the non-blowup of the 2D quasi- geostrophic equation. accepted by Methods Appl. Anal....
讲座论坛简介 Whether or not classical solutions to the surface quasi-geostrophic (SQG) equation can develop finite time singularities remains an outstanding open problem. This paper constructs a class of large global-in-time classical solutions to the SQG equation with supercritical dissipation. The ...
We investigate a class of simple models for Langevin dynamics of turbulent flows, including the one-layer quasi-geostrophic equation and the two-dimensional Euler equations. Starting from a path integral representation of the transition probability, we compute the most probable fluctuation paths from ...
3) modified Reynold's equation 修正的雷诺方程 4) modified Navier-Stokes equation 修正的Navier-Stokes方程 1. In this paper we consider themodified Navier-Stokes equations, and want to see in what ex- tent the solution can be determined by a discrete set of nodal values of this solution. ...
Different approximations of the general quasi-geostrophic potential vorticity equation under high Richardson number condition are obtained for different types of large-scale disturbances in the atmosphere. It is found that the complete equation is needed for the long waves in middle latitudes, but that...
In this work, we show that the quasi-geostrophic equation is globally well-posed in the critical space ˙ B 2−2α 2,∞ ∩L 2/(2α−1) , that is whenever the data θ 0 belongs to the space, there is a global and unique 2 solution in the same space. Theorem 1.1. Let α∈...