Classical solutions for the 3D quasi-geostrophic system on a bounded domain

DOI10.1016/j.physd.2020.132362OpenAlexW2942639054WikidataQ126302894 ScholiaQ126302894MaRDI QIDQ2116260

Matthew D. Novack, Alexis F. Vasseur

Publication date: 16 March 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.13050

zbMATH Keywords

classical solutioncylindrical domainquasigeostrophic system

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Meteorology and atmospheric physics (86A10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Second-order elliptic systems (35J47) PDEs in connection with geophysics (35Q86) Euler equations (35Q31) Classical solutions to PDEs (35A09) Geophysical flows (76U60) Rossby waves (76U65)

Related Items (2)

Hölder regularity up to the boundary for critical SQG on bounded domains ⋮ The inviscid three dimensional quasi-geostrophic system on bounded domains

Cites Work

• Unnamed Item
• Global weak solutions to the inviscid 3D quasi-geostrophic equation
• Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
• Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
• Critical SQG in bounded domains
• Global weak solutions for generalized SQG in bounded domains
• Global in time classical solutions to the 3D quasi-geostrophic system for large initial data
• Nonlinear maximum principles for dissipative linear nonlocal operators and applications
• Derivation of quasi-geostrophic potential vorticity equations
• Local and global strong solutions for SQG in bounded domains
• The inviscid three dimensional quasi-geostrophic system on bounded domains
• Variation on a theme of Caffarelli and Vasseur
• Existence and regularity of weak solutions to the quasi-geostrophic equations in the spaces \(L^p\) or \(\dot{H}^{-1/2}\)
• Fourier Analysis and Nonlinear Partial Differential Equations
• Nonuniqueness of Weak Solutions to the 3 Dimensional Quasi-Geostrophic Equations
• Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
• Validity of the Quasigeostrophic Model for Large-Scale Flow in the Atmosphere and Ocean
• Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
• Inviscid Limit for SQG in Bounded Domains
• Remarks on the Fractional Laplacian with Dirichlet Boundary Conditions and Applications
• Global Weak Solutions for SQG in Bounded Domains
• On the Weak Solutions to the Three-Dimensional Inviscid Quasi-Geostrophic System

This page was built for publication: Classical solutions for the 3D quasi-geostrophic system on a bounded domain