Global Well-Posedness and Asymptotic Behavior for the 2D Subcritical Dissipative Quasi-Geostrophic Equation in Critical Fourier-Besov-Morrey Spaces
DOI10.4208/jpde.v36.n1.1OpenAlexW4312072471WikidataQ117217803 ScholiaQ117217803MaRDI QIDQ5880858
Adil Abbassi, Achraf Azanzal, Chakir Allalou
Publication date: 6 March 2023
Published in: Journal of Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/jpde.v36.n1.1
Littlewood-Paley theoryglobal well-posedness2D quasi-geostrophic equationsubcritical dissipationFourier-Besov-Morrey spaceslong time behavior of the solution
PDEs in connection with fluid mechanics (35Q35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for higher-order parabolic equations (35K30) Heat kernel (35K08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
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- Global well-posedness for Navier-Stokes equations in critical Fourier-Herz spaces
- Long-time decay to the global solution of the 2D dissipative quasigeostrophic equation
- Long time decay to the Lei-Lin solution of 3D Navier-Stokes equations
- Global existence of the two-dimensional QGE with sub-critical dissipation
- Self-similar solutions for active scalar equations in Fourier-Besov-Morrey spaces
- Long time behavior of the solution of the two-dimensional dissipative QGE in Lei-Lin spaces
- Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
- On the 2D critical and supercritical dissipative quasi-geostrophic equation in Besov spaces
- Self-similar solutions and large time asymptotics for the dissipative quasi-geostrophic equation
- The Navier-Stokes equations in the weak-\(L^n\) space with time-dependent external force
- Non-blowup at large times and stability for global solutions to the Navier-Stokes equations
- Well-posedness of the Keller-Segel system in Fourier-Besov-Morrey spaces
- Uniform global well-posedness of the Navier-Stokes-Coriolis system in a new critical space
- Global well-posedness and long time decay of fractional Navier-Stokes equations in Fourier-Besov spaces
- A maximum principle applied to quasi-geostrophic equations
- Global well-posedness in the super-critical dissipative quasi-geostrophic equations
- Well-posedness and blow-up of solutions for the 2D dissipative quasi-geostrophic equation in critical Fourier-Besov-Morrey spaces
- Global well-posedness and ill-posedness for the Navier-Stokes equations with the Coriolis force in function spaces of Besov type
- Global well-posedness of the 2D critical dissipative quasi-geostrophic equation in the Triebel-Lizorkin spaces
- The Littlewood-Paley theory: a common thread of many works in nonlinear analysis
- On dispersive effect of the Coriolis force for the stationary Navier-Stokes equations
- Fourier Analysis and Nonlinear Partial Differential Equations
- The Navier-Stokes Problem in the 21st Century
- The asymptotic behaviour of subcritical dissipative quasi-geostrophic equations
- Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data
- Behavior of Solutions of 2D Quasi-Geostrophic Equations
- Global mild solutions of Navier‐Stokes equations
- Strong solutions of the Navier-Stokes equation in Morrey spaces
- Global well-posedness of dissipative quasi-geostrophic equations in critical spaces
- Well-posedness for the Navier-Stokes equations
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