Global in time weak solutions to singular three-dimensional quasi-geostrophic systems
DOI10.1137/23M1552917zbMATH Open1546.35153MaRDI QIDQ6598476
Publication date: 5 September 2024
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Meteorology and atmospheric physics (86A10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Singularity in context of PDEs (35A21) PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Global weak solutions to the inviscid 3D quasi-geostrophic equation
- Global well-posedness for a modified dissipative surface quasi-geostrophic equation in the critical Sobolev space \(H^{1}\)
- Global well-posedness for a modified critical dissipative quasi-geostrophic equation
- Critical SQG in bounded domains
- Global in time classical solutions to the 3D quasi-geostrophic system for large initial data
- Derivation of quasi-geostrophic potential vorticity equations
- Local and global strong solutions for SQG in bounded domains
- Classical solutions for the 3D quasi-geostrophic system on a bounded domain
- The inviscid three dimensional quasi-geostrophic system on bounded domains
- Navier-Stokes equations. Theory and numerical analysis. Repr. with corr
- Validity of the Quasigeostrophic Model for Large-Scale Flow in the Atmosphere and Ocean
- On the Weak Solutions to the Three-Dimensional Inviscid Quasi-Geostrophic System
- An Extension Problem Related to the Fractional Laplacian
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