Long-time asymptotic behavior of the generalized two-dimensional quasi-geostrophic equation
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Publication:2170660
DOI10.1016/j.jfa.2022.109669zbMath1504.35402OpenAlexW4291071988MaRDI QIDQ2170660
Publication date: 6 September 2022
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2022.109669
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Fractional derivatives and integrals (26A33) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Fractional partial differential equations (35R11) PDEs in connection with geophysics (35Q86) Geophysical flows (76U60)
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Energy conservation for the generalized surface quasi-geostrophic equation ⋮ Hölder regularity in time of solutions to the generalized surface quasi-geostrophic equation
Cites Work
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- Note on the well-posedness of a slightly supercritical surface quasi-geostrophic equation
- Global well-posedness for an advection-diffusion equation arising in magneto-geostrophic dynamics
- Nonlocal maximum principles for active scalars
- Global well-posedness for a modified dissipative surface quasi-geostrophic equation in the critical Sobolev space \(H^{1}\)
- A frequency localized maximum principle applied to the 2D quasi-geostrophic equation
- On the regularity of a class of generalized quasi-geostrophic equations
- Global well-posedness for a modified critical dissipative quasi-geostrophic equation
- Inviscid models generalizing the two-dimensional Euler and the surface quasi-geostrophic equations
- Existence and uniqueness of the solution to the dissipative 2D quasi-geostrophic equations in the Sobolev space
- Decay rate of higher order derivatives for solutions to the 2-D dissipative quasi-geostrophic flows
- Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
- Global well-posedness and a decay estimate for the critical dissipative quasi-geostrophic equation in the whole space
- Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
- On the 2D critical and supercritical dissipative quasi-geostrophic equation in Besov spaces
- Remarks on well-posedness of the generalized surface quasi-geostrophic equation
- 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
- Global smooth solutions to the \(n\)-dimensional damped models of incompressible fluid mechanics with small initial datum
- Analyticity and large time behavior for the Burgers equation and the quasi-geostrophic equation, the both with the critical dissipation
- Long time dynamics of forced critical SQG
- On the sharp time decay rates for the 2D generalized quasi-geostrophic equation and the Boussinesq system
- On the local existence for an active scalar equation
- A new Bernstein's inequality and the 2D dissipative quasi-geostrophic equation
- Variation on a theme of Caffarelli and Vasseur
- Decay of weak solutions to the 2D dissipative quasi-geostrophic equation
- Decay of solutions to dissipative modified quasi-geostrophic equations
- Dissipative Models Generalizing the 2D Navier-Stokes and the Surface Quasi-Geostrophic Equations
- Logarithmically regularized inviscid models in borderline sobolev spaces
- Generalized surface quasi-geostrophic equations with singular velocities
- Fourier Analysis and Nonlinear Partial Differential Equations
- On the global regularity for the supercritical SQG equation
- The asymptotic behaviour of subcritical dissipative quasi-geostrophic equations
- Asymptotic behaviour of the solutions to the 2D dissipative quasi-geostrophic flows
- Global regularity for a modified critical dissipative quasi-geostrophic equation
- On the Global Well-Posedness of the Critical Quasi-Geostrophic Equation
- Decay of solution to parabolic conservation laws
- Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
- 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
- Modern Fourier Analysis
- Decay characterization of solutions to dissipative equations
