1. Finite Time Blow Up for a 1D Model of 2D Boussinesq System
- Author
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Yao Yao, Kyudong Choi, and Alexander Kiselev
- Subjects
Physics ,010102 general mathematics ,Mathematics::Analysis of PDEs ,Statistical and Nonlinear Physics ,Model system ,Mechanics ,01 natural sciences ,Physics::Fluid Dynamics ,010101 applied mathematics ,Mathematics - Analysis of PDEs ,Gravitational field ,Inviscid flow ,FOS: Mathematics ,Fluid dynamics ,Compressibility ,0101 mathematics ,Finite time ,Mathematical Physics ,Analysis of PDEs (math.AP) - Abstract
The 2D conservative Boussinesq system describes inviscid, incompressible, buoyant fluid flow in gravity field. The possibility of finite time blow up for solutions of this system is a classical problem of mathematical hydrodynamics. We consider a 1D model of 2D Boussinesq system motivated by a particular finite time blow up scenario. We prove that finite time blow up is possible for the solutions to the model system., Comment: 13 pages, 2 figures
- Published
- 2014
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