Finite-time blowup for the 3-D primitive equations of oceanic and atmospheric dynamics

DOI10.1016/J.AML.2017.08.007zbMath1378.35049OpenAlexW2746739181MaRDI QIDQ1680022

Lin Zheng, Shu Wang

Publication date: 22 November 2017

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2017.08.007

zbMATH Keywords

viscous primitive equations

Mathematics Subject Classification ID

Blow-up in context of PDEs (35B44) Self-similar solutions to PDEs (35C06) PDEs in connection with geophysics (35Q86)

Related Items (3)

Finite-time blowup for the 2-D viscous primitive equations of ocean and atmosphere dynamic ⋮ Blowup solutions of Grushin's operator ⋮ Numerical study of the primitive equations in the small viscosity regime

Cites Work

• A well-posedness theory for the Prandtl equations in three space variables
• Existence of the universal attractor for the 3-D viscous primitive equations of large-scale moist atmosphere
• 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
• On the 3D viscous primitive equations of the large-scale atmosphere
• 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
• New formulations of the primitive equations of atmosphere and applications
• Blowup of solutions of the unsteady Prandtl's equation
• Global well‐posedness and finite‐dimensional global attractor for a 3‐D planetary geostrophic viscous model

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