Finite time blow up for a 1D model of 2D Boussinesq system
arXiv:1312.4913 · doi:10.1007/s00220-014-2146-2
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.
13 pages, 2 figures