The primitive equations of the polluted atmosphere as a weak and strong limit of the 3D Navier-Stokes equations in downwind-matching coordinates

DOI10.3934/dcds.2022002zbMath1489.35281arXiv2001.05387OpenAlexW3000147004MaRDI QIDQ2139524

Nóra Juhász, Donatella Donatelli

Publication date: 18 May 2022

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.05387

zbMATH Keywords

weak solutionsprimitive equationsNavier Stokes equationssmall aspect ratiopollution evolution equation

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Meteorology and atmospheric physics (86A10) Weak solutions to PDEs (35D30) PDEs in connection with geophysics (35Q86)

Related Items (2)

On the hydrostatic approximation of compressible anisotropic Navier-Stokes equations-rigorous justification ⋮ Derivation of the inviscid compressible primitive equations

Cites Work

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• Some estimates for the anisotropic Navier-Stokes equations and for the hydrostatic approximation
• Global well‐posedness and finite‐dimensional global attractor for a 3‐D planetary geostrophic viscous model
• Weak solution of the merged mathematical equations of the polluted atmosphere
• On the regularity of the primitive equations of the ocean
• Sobolev and Gevrey regularity results for the primitive equations in three space dimensions

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