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Finite-time blowup for the 3-D viscous primitive equations of oceanic and atmospheric dynamics
- Source :
- Boundary Value Problems, Vol 2024, Iss 1, Pp 1-7 (2024)
- Publication Year :
- 2024
- Publisher :
- SpringerOpen, 2024.
-
Abstract
- Abstract In this paper, we prove that for certain class of initial data, the corresponding solutions to the 3-D viscous primitive equations blow up in finite time. Specifically, we find a special solution to simplify the 3-D systems, assuming that the pressure function p ( x , y , t ) $p(x,y,t)$ is a concave function. We also consider the equations on the line x = 0 $x=0$ , y = 0 $y=0$ .
- Subjects :
- Blow-up
Primitive equations
Viscous
Special solution
Analysis
QA299.6-433
Subjects
Details
- Language :
- English
- ISSN :
- 16872770
- Volume :
- 2024
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Boundary Value Problems
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.522830729e504dff8a4540f85fab26fd
- Document Type :
- article
- Full Text :
- https://doi.org/10.1186/s13661-024-01858-y