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arXiv · 1312.4913

Finite time blow up for a 1D model of 2D Boussinesq system

Kyudong Choi·Alexander Kiselev·Yao Yao
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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.

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Kyudong Choi, Alexander Kiselev, Yao Yao. 2013-12-17. Finite time blow up for a 1D model of 2D Boussinesq system. https://doi.org/10.1007/s00220-014-2146-2

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