Back to Search
Start Over
Construction of a Family of Stable Finite-Time Blowup Solutions for the Viscous Boussinesq System.
- Source :
- Annales Henri Poincaré; Jun2023, Vol. 24 Issue 6, p1971-2003, 33p
- Publication Year :
- 2023
-
Abstract
- This paper concerns with the local dynamical behavior near explicit finite-time blowup solutions with the smooth initial data for the three-dimensional viscous Boussinesq system. More precisely, we show that there exists a family of explicit blowup solutions with the smooth initial data and infinite energy in whole space R 3 . Meanwhile, we employ a suitable Nash–Moser iteration scheme by Yan (J Differ Equ 261:1973–2005, 2016) to prove Lyapunov nonlinear stability of those explicit finite-time blowup solutions for three-dimensional viscous Boussinesq system in a smooth moving domain with the timelike boundary condition. This means that we find a family of stable finite-time blowup solutions for the three-dimensional viscous Boussinesq system in a smooth bounded domain. [ABSTRACT FROM AUTHOR]
- Subjects :
- BLOWING up (Algebraic geometry)
STATISTICAL smoothing
LYAPUNOV stability
Subjects
Details
- Language :
- English
- ISSN :
- 14240637
- Volume :
- 24
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- Annales Henri Poincaré
- Publication Type :
- Academic Journal
- Accession number :
- 163726740
- Full Text :
- https://doi.org/10.1007/s00023-023-01267-4