Regularity of global attractors and exponential attractors for \(2\)D quasi-geostrophic equations with fractional dissipation
DOI10.3934/dcdsb.2021093zbMath1484.35072OpenAlexW3138961113WikidataQ115483659 ScholiaQ115483659MaRDI QIDQ2669198
Lin Yang, Yejuan Wang, Tomás Caraballo Garrido
Publication date: 9 March 2022
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2021093
global attractorasymptotic compactnessexponential attractorfractional dissipationquasi-geostrophic equations
Smoothness and regularity of solutions to PDEs (35B65) Attractors (35B41) PDEs in connection with fluid mechanics (35Q35) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) PDEs in connection with geophysics (35Q86)
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Cites Work
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- Smooth attractors for weak solutions of the SQG equation with critical dissipation
- Solutions in \(L_ r\) of the Navier-Stokes initial value problem
- Geometric theory of semilinear parabolic equations
- Attractors for the 3D baroclinic quasi-geostrophic equations of large- scale atmosphere
- Infinite-dimensional dynamical systems in mechanics and physics.
- Regularity of random attractors for fractional stochastic reaction-diffusion equations on \(\mathbb{R}^n\)
- Asymptotic behavior for the quasi-geostrophic equations with fractional dissipation in \(\mathbb{R}^2\)
- A maximum principle applied to quasi-geostrophic equations
- Global attractors for the three-dimensional Navier-Stokes equations
- Long time dynamics of 2D quasi-geostrophic equations with damping in \(L^p\)
- Long time dynamics of forced critical SQG
- Quasi-geostrophic equation in \(\mathbb{R}^2\)
- On dimension of the global attractor for 2D quasi-geostrophic equations
- Decay of weak solutions to the 2D dissipative quasi-geostrophic equation
- The existence of global attractors for the norm-to-weak continuous semigroup and application to the nonlinear reaction-diffusion equations
- Sur le comportement global des solutions non-stationnaires des équations de Navier-Stokes en dimension 2
- The maximum principle and the global attractor for the dissipative 2D quasi-geostrophic equations
- Attractors for the semilinear reaction-diffusion equation with distribution derivatives in unbounded domains
- Uniformly attracting limit sets for the critically dissipative SQG equation
- Parabolic-hyperbolic time-dependent Ginzburg-Landau-Maxwell equations
- Abstract Parabolic Evolution Equations and their Applications
- Commutator estimates and the euler and navier-stokes equations
- Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
- Vanishing viscosity limits and long-time behavior for 2D quasi-geostrophic equations
- Exponential attractors for a nonlinear reaction-diffusion system in
- Decay characterization of solutions to dissipative equations
- A construction of a robust family of exponential attractors
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