Global regularity for the critical dispersive dissipative surface quasi-geostrophic equation
From MaRDI portal
Publication:3550004
DOI10.1088/0951-7715/23/3/006zbMath1185.35190arXiv0908.0925OpenAlexW2057032629MaRDI QIDQ3550004
F. L. Nazarov, Alexander Kiselev
Publication date: 30 March 2010
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0908.0925
PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) General theory of rotating fluids (76U05)
Related Items
Sharp Decay Estimates for an Anisotropic Linear Semigroup and Applications to the Surface Quasi-Geostrophic and Inviscid Boussinesq Systems ⋮ Existence and stability of steady-state solutions to the quasi-geostrophic equations in ℝ2 ⋮ Finite time singularity for the modified SQG patch equation ⋮ Global Regularity for 1D Eulerian Dynamics with Singular Interaction Forces ⋮ Global well-posedness of smooth solution to the supercritical SQG equation with large dispersive forcing and small viscosity ⋮ Nonlinear maximum principles for dissipative linear nonlocal operators and applications ⋮ Long time stability for the dispersive SQG equation and Boussinesq equations in Sobolev space Hs ⋮ Metastability for the dissipative quasi-geostrophic equation and the non-local enhancement ⋮ Global regularity of 2D almost resistive MHD equations ⋮ Long time existence of classical solutions for the rotating Euler equations and related models in the optimal Sobolev space ⋮ On the regularity criteria of a surface quasi-geostrophic equation ⋮ Long time existence and asymptotic behavior of solutions for the 2D quasi-geostrophic equation with large dispersive forcing ⋮ Inviscid limit for SQG equation in different dispersive regimes via relative energy inequality ⋮ Absence of anomalous dissipation of energy in forced two dimensional fluid equations ⋮ The existence of a global attractor for the forced critical surface quasi-geostrophic equation in \(L^2\) ⋮ Global well-posedness for the 2D dispersive SQG equation and inviscid Boussinesq equations ⋮ On the forced surface quasi-geostrophic equation: existence of steady states and sharp relaxation rates ⋮ Nonlinear instability for the critically dissipative quasi-geostrophic equation ⋮ Long time dynamics of forced critical SQG ⋮ Inviscid models generalizing the two-dimensional Euler and the surface quasi-geostrophic equations ⋮ Suppression of blow up by a logistic source in 2D Keller-Segel system with fractional dissipation ⋮ Long-time solvability for the 2D dispersive SQG equation with improved regularity ⋮ Discontinuous Fronts as Exact Solutions to Precipitating Quasi-geostrophic Equations ⋮ The Barotropic Quasi-Geostrophic Equation under a Free Surface
