Quasi-geostrophic equation in \(\mathbb{R}^2\)

DOI10.1016/j.jde.2015.02.022zbMath1325.35161arXiv1411.1178OpenAlexW1966778047MaRDI QIDQ2342721

Chunyou Sun, Maria B. Kania, Tomasz Dlotko

Publication date: 29 April 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.1178

zbMATH Keywords

asymptotic behaviora priori estimatesglobal solvabilityviscous quasi-geostrophic equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) PDEs in connection with fluid mechanics (35Q35) A priori estimates in context of PDEs (35B45) Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items (13)

Dynamics for generalized incompressible Navier-Stokes equations in \(\mathbb{R}^2\) ⋮ Stability of fractionally dissipative 2D quasi-geostrophic equation with infinite delay ⋮ Regularity of global attractors and exponential attractors for \(2\)D quasi-geostrophic equations with fractional dissipation ⋮ Navier-Stokes equation and its fractional approximations ⋮ MHD equations in a bounded domain ⋮ Attractors for 2D quasi-geostrophic equations with and without colored noise in W2α−,p(ℝ2) ⋮ Extension and trace for nonlocal operators ⋮ Smooth attractors for weak solutions of the SQG equation with critical dissipation ⋮ Fractional Navier-Stokes equations ⋮ Finite dimensionality of the global attractor for a fractional Schrödinger equation on \(\mathbb{R}\) ⋮ 2D quasi-geostrophic equation; sub-critical and critical cases ⋮ Critical and super-critical abstract parabolic equations ⋮ On the Cauchy problem for hyperdissipative Navier-Stokes equations in super-critical Besov and Triebel-Lizorkin spaces

Cites Work

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• The generalized Korteweg-de Vries-Burgers equation in \(H^2(\mathbb R)\)
• Analysis of the viscous Cahn-Hilliard equation in \(\mathbb R^N\)
• Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
• Weakly damped forced Korteweg-de Vries equations behave as a finite dimensional dynamical system in the long time
• Geometric theory of semilinear parabolic equations
• Infinite-dimensional dynamical systems in mechanics and physics.
• A maximum principle applied to quasi-geostrophic equations
• Attractors for reaction-diffusion equations in unbounded domains
• Dynamics of the modified viscous Cahn-Hilliard equation in \(\mathbb{R}^N\)
• On dimension of the global attractor for 2D quasi-geostrophic equations
• Fractional powers of operators. II: Interpolation spaces
• On the critical dissipative quasi-geostrophic equation
• On Existence and Space-Time Behavior of Dissipative 2D Quasi-Geostrophic Flows
• THE QUASI-GEOSTROPHIC EQUATION AND ITS TWO REGULARIZATIONS
• Abstract Parabolic Evolution Equations and their Applications
• Pseudodifferential parabolic equations in uniform spaces
• A pointwise estimate for fractionary derivatives with applications to partial differential equations
• Equivalent Norms for Sobolev Spaces
• Fractional powers of operators

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