Primitive equations with half horizontal viscosity
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Publication:2025725
zbMath1470.35290arXiv1807.05045MaRDI QIDQ2025725
Publication date: 14 May 2021
Published in: Advances in Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.05045
PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) PDEs of mixed type (35M10) 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) PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items
Stochastic primitive equations with horizontal viscosity and diffusivity ⋮ Primitive equations with horizontal viscosity: the initial value and the time-periodic problem for physical boundary conditions
Cites Work
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- General parabolic mixed order systems in \(L_p\) and applications
- 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
- Theory of function spaces
- Compact sets in the space \(L^ p(0,T;B)\)
- The primitive equations as the small aspect ratio limit of the Navier-Stokes equations: rigorous justification of the hydrostatic approximation
- 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
- Finite-time blowup for the inviscid primitive equations of oceanic and atmospheric dynamics
- 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
- Ill-posedness of the hydrostatic Euler and singular Vlasov equations
- Global Well-Posedness of the Three-Dimensional Primitive Equations with Only Horizontal Viscosity and Diffusion
- 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
- Atmospheric and Oceanic Fluid Dynamics
- 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