Blow-up criterion of solutions of the horizontal viscous primitive equations with horizontal eddy diffusivity
From MaRDI portal
Publication:6170058
DOI10.1016/j.aml.2023.108743zbMath1529.35523OpenAlexW4379791932MaRDI QIDQ6170058
No author found.
Publication date: 15 August 2023
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2023.108743
PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Meteorology and atmospheric physics (86A10) Blow-up in context of PDEs (35B44) PDEs in connection with geophysics (35Q86) Geophysical flows (76U60)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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
- Remarks on the breakdown of smooth solutions for the 3-D Euler equations
- 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
- 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
- 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
- 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
- REMARKS ON THE BLOW-UP CRITERION FOR THE 3-D BOUSSINESQ 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
- Vortex Dynamics
- Blowup of solutions of the hydrostatic Euler equations
This page was built for publication: Blow-up criterion of solutions of the horizontal viscous primitive equations with horizontal eddy diffusivity