SPLASH SINGULARITIES FOR THE VISCOUS 2D BOUSSINESQ EQUATIONS WITH ZERO THERMAL DIFFUSIVITY
Abstract In this paper we prove the existence of splash singularities, namely points where the boundary remains smooth but self-intersects, for the 2D Boussinesq system with zero thermal diffusivity. The result is obtained by combining the local existence and stability theorems.
Authors
- Stefano Spirito (ORCID: https://orcid.org/0000-0001-8373-4541)
- Elena Di Iorio
- Pierangelo Marcati (ORCID: https://orcid.org/0000-0001-6528-6562)
Institutions
- University of L'Aquila (IT)
- Gran Sasso Science Institute (IT)
Publication Details
- Journal
- Nonlinear Differential Equations and Applications NoDEA
- Published
- 2025-11-26
- DOI
- https://doi.org/10.1007/s00030-025-01154-3
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni