Finite Time Blow Up for a 1D Model of 2D Boussinesq System
Abstract
The 2D conservative Boussinesq system describes inviscid, incompressible, buoyant fluid flow in a 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 the 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.
 Publication:

Communications in Mathematical Physics
 Pub Date:
 March 2015
 DOI:
 10.1007/s0022001421462
 arXiv:
 arXiv:1312.4913
 Bibcode:
 2015CMaPh.334.1667C
 Keywords:

 Mathematics  Analysis of PDEs
 EPrint:
 13 pages, 2 figures