On the regularity of solutions to some active scalar equations on bounded domains
From MaRDI portal
Publication:6642433
DOI10.1137/23M1614705MaRDI QIDQ6642433
Publication date: 24 November 2024
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
asymptotic behaviorglobal regularitybounded domainsactive scalar equationsincompressible porous mediaSQG
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Existence problems for PDEs: global existence, local existence, non-existence (35A01)
Cites Work
- Lack of uniqueness for weak solutions of the incompressible porous media equation
- Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
- Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation
- Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
- Gagliardo-Nirenberg inequalities and non-inequalities: the full story
- Critical SQG in bounded domains
- Nonlinear maximum principles for dissipative linear nonlocal operators and applications
- Hölder regularity up to the boundary for critical SQG on bounded domains
- Local and global strong solutions for SQG in bounded domains
- Construction of solutions of the critical SQG equation in bounded domains
- On the asymptotic stability of stationary solutions of the inviscid incompressible porous medium equation
- Long time dynamics of forced critical SQG
- Estimates near the boundary for critical SQG
- Small scale formations in the incompressible porous media equation
- On the critical dissipative quasi-geostrophic equation
- On the global regularity for the supercritical SQG equation
- Incompressible flow in porous media with fractional diffusion
- Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
- Inviscid Limit for SQG in Bounded Domains
- Behavior of Solutions of 2D Quasi-Geostrophic Equations
- Global Weak Solutions for SQG in Bounded Domains
This page was built for publication: On the regularity of solutions to some active scalar equations on bounded domains
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6642433)
