Global well-posedness of slightly supercritical SQG equations and gradient estimate
DOI10.1088/1361-6544/acc2a6OpenAlexW4328119030MaRDI QIDQ5886441
Publication date: 5 April 2023
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.06416
modulus of continuityglobal well-posednessnonlinear maximum principlesurface quasi-geostrophic (SQG) equationslightly supercritical
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Maximum principles in context of PDEs (35B50) General theory of rotating fluids (76U05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlocal maximum principles for active scalars
- Eventual regularity of the solutions to the supercritical dissipative quasi-geostrophic equation
- Global well-posedness for a modified critical dissipative quasi-geostrophic equation
- A regularity criterion for the dissipative quasi-geostrophic equations
- Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
- 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
- Hölder continuity of solutions of supercritical dissipative hydrodynamic transport equations
- Regularity criteria for the dissipative quasi-geostrophic equations in Hölder spaces
- Gagliardo-Nirenberg inequalities and non-inequalities: the full story
- A maximum principle applied to quasi-geostrophic equations
- Nonlinear maximum principles for dissipative linear nonlocal operators and applications
- Dissipative quasi-geostrophic equations in critical Sobolev spaces: smoothing effect and global well-posedness
- Variation on a theme of Caffarelli and Vasseur
- Global well-posedness of slightly supercritical active scalar equations
- On the critical dissipative quasi-geostrophic equation
- Global well-posedness for a slightly supercritical surface quasi-geostrophic equation
- On the Global Well-Posedness of the Critical Quasi-Geostrophic Equation
- Commutator estimates and the euler and navier-stokes equations
- Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
- Behavior of Solutions of 2D Quasi-Geostrophic Equations
- On the differentiability of the solution to an equation with drift and fractional diffusion
This page was built for publication: Global well-posedness of slightly supercritical SQG equations and gradient estimate
