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Global well-posedness for the 2D Euler-Boussinesq-BĂ©nard equations with critical dissipation.
- Source :
-
Journal of Differential Equations . May2024, Vol. 392, p209-254. 46p. - Publication Year :
- 2024
-
Abstract
- This present paper is dedicated to the study of the Cauchy problem of the two-dimensional Euler-Boussinesq-Bénard equations which couple the incompressible Euler equations for the velocity and a transport equation with critical dissipation for the temperature. We show that there is a global unique solution to this model with Yudovich's type data. This settles the global regularity problem which was remarked by Wu and Xue (2012) [44]. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 392
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 176121643
- Full Text :
- https://doi.org/10.1016/j.jde.2024.02.023