Finite time blow up for a 1D model of 2D Boussinesq system
Analysis of PDEs
2015-06-18 v1
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.
Keywords
Cite
@article{arxiv.1312.4913,
title = {Finite time blow up for a 1D model of 2D Boussinesq system},
author = {Kyudong Choi and Alexander Kiselev and Yao Yao},
journal= {arXiv preprint arXiv:1312.4913},
year = {2015}
}
Comments
13 pages, 2 figures