Large Discretely Self-Similar Solutions to Oberbeck-Boussinesq System with Newtonian Gravitational Field
Abstract
Discretely self-similar solutions to Oberbeck-Boussinesq system with Newtonian gravitational field for large discretely self-similar initial data are constructed in this note, extending the construction of Brandolese and Karch on self-similar solutions. It follows the approach of Bradshaw and Tsai and finds an explicit a priori bound for the deviation from suitably revised profiles in similarity variables.
Fields of Study & Subjects
Nonlinear Waves and Solitons
Cosmology and Gravitation Theories
Geometric Analysis and Curvature Flows
Publication details
- Journal / source
- Funkcialaj Ekvacioj
- Volume
- 69
- Issue
- 1
- Pages
- 101–118
- Publication date
- 15 April 2026
- Language
- EN