Global Wellposedness of the Primitive Equations with Nonlinear Equation of State in Critical Spaces

This article investigates the primitive equations with nonlinear equations of state. A global, strong well-posedness result for this set of equations is established for initial data lying in critical spaces provided that the density, depending on temperature, salinity and pressure, satisfies certain regularity assumptions. These assumptions are in particular satisfied for the TEOS-80 formulation of the equation of state.

Publication Details

Journal
TUbilio (Technical University of Darmstadt)
Published
2025-01-01
DOI
https://doi.org/10.26083/tuprints-00028551
Primary Topic
Navier-Stokes equation solutions
Type
article
Field-Weighted Citation Impact
0.00
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article

Global Wellposedness of the Primitive Equations with Nonlinear Equation of State in Critical Spaces

TUbilio (Technical University of Darmstadt)
Navier-Stokes equation solutions
article

Global Wellposedness of the Primitive Equations with Nonlinear Equation of State in Critical Spaces

article en

Abstract

This article investigates the primitive equations with nonlinear equations of state. A global, strong well-posedness result for this set of equations is established for initial data lying in critical spaces provided that the density, depending on temperature, salinity and pressure, satisfies certain regularity assumptions. These assumptions are in particular satisfied for the TEOS-80 formulation of the equation of state.

TUbilio (Technical University of Darmstadt)
Openalex Percentile: Top 45%
Navier-Stokes equation solutions
DOIOpen Access PDFOpenAlex
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Global Wellposedness of the Primitive Equations with Nonlinear Equation of State in Critical Spaces · TUbilio (Technical University of Darmstadt) (2025) | TGRS Research Map | TGRS