The hydrostatic approximation of the Boussinesq equations with rotation in a thin domain
From MaRDI portal
Publication:6650549
DOI10.1016/J.NA.2024.113688MaRDI QIDQ6650549
Publication date: 9 December 2024
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) PDEs in connection with geophysics (35Q86) Geophysical flows (76U60)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Zero viscosity limit for analytic solutions of the primitive equations
- Global strong \(L^{p}\) well-posedness of the 3D primitive equations with heat and salinity diffusion
- Strong solutions to the 3D primitive equations with only horizontal dissipation: near \(H^{1}\) initial data
- Local existence and uniqueness for the hydrostatic Euler equations on a bounded domain
- Local and global well-posedness of strong solutions to the 3D primitive equations with vertical Eddy diffusivity
- Global well-posedness of strong solutions to the 3D primitive equations with horizontal eddy diffusivity
- Global well-posedness of the \(3D\) primitive equations with partial vertical turbulence mixing heat diffusion
- On the uniqueness of \(z\)-weak solutions of the three-dimensional primitive equations of the ocean
- Ill-posedness of the hydrostatic Euler and Navier-Stokes equations
- On the uniqueness of weak solutions of the two-dimensional primitive equations.
- The primitive equations as the small aspect ratio limit of the Navier-Stokes equations: rigorous justification of the hydrostatic approximation
- Mathematical theory for the coupled atmosphere-ocean models (CAO III)
- Finite-time blowup and ill-posedness in Sobolev spaces of the inviscid primitive equations with rotation
- On the effect of rotation on the life-span of analytic solutions to the \(3D\) Inviscid primitive equations
- Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity
- The hydrostatic Stokes semigroup and well-posedness of the primitive equations on spaces of bounded functions
- On the \(H ^{s }\) theory of hydrostatic Euler equations
- Global well-posedness for the 3D primitive equations in anisotropic framework
- Finite-time blowup for the inviscid primitive equations of oceanic and atmospheric dynamics
- The regularity of solutions of the primitive equations of the ocean in space dimension three
- Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics
- Global strong well-posedness of the three dimensional primitive equations in \({L^p}\)-spaces
- Ill-posedness of the hydrostatic Euler and singular Vlasov equations
- The primitive equations approximation of the anisotropic horizontally viscous \(3D\) Navier-Stokes equations
- Rigorous derivation of the full primitive equations by the scaled Boussinesq equations with rotation
- Mathematical justification of the hydrostatic approximation in the primitive equations of geophysical fluid dynamics
- Existence and Uniqueness of Weak Solutions to Viscous Primitive Equations for a Certain Class of Discontinuous Initial Data
- Global Well-Posedness of the Three-Dimensional Primitive Equations with Only Horizontal Viscosity and Diffusion
- The Three-Dimensional Navier–Stokes Equations
- New formulations of the primitive equations of atmosphere and applications
- On the equations of the large-scale ocean
- Homogeneous hydrostatic flows with convex velocity profiles
- Global well‐posedness and finite‐dimensional global attractor for a 3‐D planetary geostrophic viscous model
- On $H^2$ solutions and $z$-weak solutions of the 3D Primitive Equations
- Global well-posedness of z-weak solutions to the primitive equations without vertical diffusivity
- Rigorous justification of the hydrostatic approximation for the primitive equations by scaled Navier–Stokes equations*
- Primitive equations with continuous initial data
- On the Local Well-posedness of the Prandtl and Hydrostatic Euler Equations with Multiple Monotonicity Regions
- On the regularity of the primitive equations of the ocean
- Blowup of solutions of the hydrostatic Euler equations
- On the rigorous mathematical derivation for the viscous primitive equations with density stratification
This page was built for publication: The hydrostatic approximation of the Boussinesq equations with rotation in a thin domain
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6650549)
