Global existence and large-time behavior for primitive equations with the free boundary
DOI10.1007/S11425-022-2191-4MaRDI QIDQ6616470
Chuangchuang Liang, Hai-Liang Li
Publication date: 9 October 2024
Published in: Science China. Mathematics (Search for Journal in Brave)
PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) General theory of rotating fluids (76U05) Navier-Stokes equations (35Q30) Meteorology and atmospheric physics (86A10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Stability and instability of geophysical and astrophysical flows (76E20) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)
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?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Local well-posedness of the viscous surface wave problem without surface tension
- Small-time existence of a strong solution of primitive equations for the ocean
- Strong solutions to the 3D primitive equations with only horizontal dissipation: near \(H^{1}\) initial data
- 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
- Handbook of numerical analysis. Vol XIV. Special volume: Computational methods for the atmosphere and the oceans.
- Decaying solution of a Navier-Stokes flow without surface tension
- On the uniqueness of \(z\)-weak solutions of the three-dimensional primitive equations of the ocean
- 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
- Anisotropic estimates and strong solutions of the primitive equations.
- Mathematical theory for the coupled atmosphere-ocean models (CAO III)
- Almost exponential decay of periodic viscous surface waves without surface tension
- Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity
- Finite-time blowup for the inviscid primitive equations of oceanic and atmospheric dynamics
- Decay of viscous surface waves without surface tension in horizontally infinite domains
- Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics
- Existence of a solution `in the large' for the 3D large-scale ocean dynamics equations
- A numerical model for viscous, free-surface, barotropic wind driven ocean circulations
- A numerical method for the Study of the circulation of the world ocean
- Mathematical justification of the hydrostatic approximation in the primitive equations of geophysical fluid dynamics
- Local existence of solutions to the free boundary value problem for the primitive equations of the ocean
- Well-Posedness and Decay of the Viscous Surface Wave
- 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 initial value problem for the navier-stokes equations with a free surface
- New formulations of the primitive equations of atmosphere and applications
- On the equations of the large-scale ocean
- SOLVABILITY OF A PROBLEM ON THE MOTION OF A VISCOUS INCOMPRESSIBLE FLUID BOUNDED BY A FREE SURFACE
- On Nonstationary Motion of a Compressible Barotropic Viscous Capillary Fluid Bounded by a Free Surface
- On the Two-Dimensional Hydrostatic Navier--Stokes Equations
- Rigorous justification of the hydrostatic approximation for the primitive equations by scaled Navier–Stokes equations*
- Primitive equations with continuous initial data
- Infinite-Dimensional Dynamical Systems in Atmospheric and Oceanic Science
- Blowup of solutions of the hydrostatic Euler equations
- Weather prediction by numerical process.
This page was built for publication: Global existence and large-time behavior for primitive equations with the free boundary
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6616470)