Global existence and asymptotic stability of the free boundary problem of the primitive equations with heat insulation
DOI10.1016/j.jde.2023.06.042zbMath1519.35335OpenAlexW4383678416MaRDI QIDQ6166346
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Publication date: 2 August 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2023.06.042
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Hydrology, hydrography, oceanography (86A05) Stability in context of PDEs (35B35) 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) PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35) Diffusive and convective heat and mass transfer, heat flow (80A19) Geophysical flows (76U60)
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Cites Work
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- 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
- Existence of the universal attractor for the 3-D viscous primitive equations of large-scale moist atmosphere
- 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
- 3D stochastic primitive equations of the large-scale ocean: Global well-posedness and attractors
- 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.
- Existence of a strong solution and trajectory attractor for a climate dynamics model with topography effects
- 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)
- Global well-posedness of strong solutions to the 2D nonhomogeneous incompressible primitive equations with vacuum
- Local well-posedness of strong solutions to the three-dimensional compressible primitive equations
- Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity
- Local existence and uniqueness of strong solutions to the two dimensional nonhomogeneous incompressible primitive equations
- Finite-time blowup for the inviscid primitive equations of oceanic and atmospheric dynamics
- Diffusion limit of 3D primitive equations of the large-scale ocean under fast oscillating random force
- 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
- 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
- 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
- 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
- Global Existence of Weak Solutions to the Compressible Primitive Equations of Atmospheric Dynamics with Degenerate Viscosities
- On the regularity of the primitive equations of the ocean
- Blowup of solutions of the hydrostatic Euler equations
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