On the global regularity for the anisotropic dissipative surface quasi-geostrophic equation
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Publication:5244407
DOI10.1088/1361-6544/ab41e6zbMath1429.35206arXiv1709.03073OpenAlexW2991247473MaRDI QIDQ5244407
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Publication date: 21 November 2019
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.03073
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) General theory of rotating fluids (76U05) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Fractional partial differential equations (35R11)
Related Items
Global solution of anisotropic quasi-geostrophic equations in Sobolev space, Global regularity for 2D SQG equation with variable viscosity term, Existence of solutions and their behavior for the anisotropic quasi-geostrophic equation in Sobolev and Sobolev-Gevrey spaces, Long-time behavior of global solutions of anisotropic quasi-geostrophic equations in Sobolev space, On the boundedness of the global solution of anisotropic quasi-geostrophic equations in Sobolev space
Cites Work
- Unnamed Item
- Global well-posedness of the 2D Boussinesq equations with vertical dissipation
- Nonlocal maximum principles for active scalars
- Finite time singularities in a 1D model of the quasi-geostrophic equation
- A frequency localized maximum principle applied to the 2D quasi-geostrophic equation
- Eventual regularity of the solutions to the supercritical dissipative quasi-geostrophic equation
- Global well-posedness for a modified critical dissipative quasi-geostrophic equation
- Inviscid models generalizing the two-dimensional Euler and the surface quasi-geostrophic equations
- A regularity criterion for the dissipative quasi-geostrophic equations
- Existence and uniqueness of the solution to the dissipative 2D quasi-geostrophic equations in the Sobolev space
- Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
- Spatial analyticity of the solutions to the subcritical dissipative quasi-geostrophic equations
- Global well-posedness and a decay estimate for the critical dissipative quasi-geostrophic equation in the whole space
- Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation
- Eventual regularization for the slightly supercritical quasi-geostrophic equation
- Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
- On the 2D critical and supercritical dissipative quasi-geostrophic equation in Besov spaces
- The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations
- The 2D Boussinesq equations with fractional horizontal dissipation and thermal diffusion
- Global regularity for several incompressible fluid models with partial dissipation
- A maximum principle applied to quasi-geostrophic equations
- Global well-posedness in the super-critical dissipative quasi-geostrophic equations
- Nonlinear maximum principles for dissipative linear nonlocal operators and applications
- On the loss of continuity for super-critical drift-diffusion equations
- Global smooth solutions to the \(n\)-dimensional damped models of incompressible fluid mechanics with small initial datum
- A new Bernstein's inequality and the 2D dissipative quasi-geostrophic equation
- Variation on a theme of Caffarelli and Vasseur
- Vorticity and Incompressible Flow
- On the critical dissipative quasi-geostrophic equation
- Generalized surface quasi-geostrophic equations with singular velocities
- GLOBAL EXISTENCE RESULTS FOR THE ANISOTROPIC BOUSSINESQ SYSTEM IN DIMENSION TWO
- Fourier Analysis and Nonlinear Partial Differential Equations
- THE QUASI-GEOSTROPHIC EQUATION AND ITS TWO REGULARIZATIONS
- On the global regularity for the supercritical SQG equation
- On the Global Well-Posedness of the Critical Quasi-Geostrophic Equation
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
- Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
- Asymptotic Behavior to Dissipative Quasi-Geostrophic Flows
- Behavior of Solutions of 2D Quasi-Geostrophic Equations
