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Choi, Kyudong
Fluids Analysis Lab
Research Interests
  • fluid equations, mathematical biology, conservation laws,

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

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Title
Finite time blow up for a 1D model of 2D Boussinesq system
Author
Choi, KyudongKiselev, AlexanderYao, Yao
Issue Date
2015-03
Publisher
SPRINGER
Citation
COMMUNICATIONS IN MATHEMATICAL PHYSICS, v.334, no.3, pp.1667 - 1679
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.
URI
https://scholarworks.unist.ac.kr/handle/201301/13059
URL
http://link.springer.com/article/10.1007%2Fs00220-014-2146-2
DOI
10.1007/s00220-014-2146-2
ISSN
0010-3616
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