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Finite Time Blow Up for a 1D Model of 2D Boussinesq System

Publication ,  Journal Article
Choi, K; Kiselev, A; Yao, Y
Published in: Communications in Mathematical Physics
March 1, 2015

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.

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Published In

Communications in Mathematical Physics

DOI

EISSN

1432-0916

ISSN

0010-3616

Publication Date

March 1, 2015

Volume

334

Issue

3

Start / End Page

1667 / 1679

Related Subject Headings

  • Mathematical Physics
  • 5107 Particle and high energy physics
  • 4904 Pure mathematics
  • 4902 Mathematical physics
  • 0206 Quantum Physics
  • 0105 Mathematical Physics
  • 0101 Pure Mathematics
 

Citation

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Choi, K., Kiselev, A., & Yao, Y. (2015). Finite Time Blow Up for a 1D Model of 2D Boussinesq System. Communications in Mathematical Physics, 334(3), 1667–1679. https://doi.org/10.1007/s00220-014-2146-2
Choi, K., A. Kiselev, and Y. Yao. “Finite Time Blow Up for a 1D Model of 2D Boussinesq System.” Communications in Mathematical Physics 334, no. 3 (March 1, 2015): 1667–79. https://doi.org/10.1007/s00220-014-2146-2.
Choi K, Kiselev A, Yao Y. Finite Time Blow Up for a 1D Model of 2D Boussinesq System. Communications in Mathematical Physics. 2015 Mar 1;334(3):1667–79.
Choi, K., et al. “Finite Time Blow Up for a 1D Model of 2D Boussinesq System.” Communications in Mathematical Physics, vol. 334, no. 3, Mar. 2015, pp. 1667–79. Scopus, doi:10.1007/s00220-014-2146-2.
Choi K, Kiselev A, Yao Y. Finite Time Blow Up for a 1D Model of 2D Boussinesq System. Communications in Mathematical Physics. 2015 Mar 1;334(3):1667–1679.
Journal cover image

Published In

Communications in Mathematical Physics

DOI

EISSN

1432-0916

ISSN

0010-3616

Publication Date

March 1, 2015

Volume

334

Issue

3

Start / End Page

1667 / 1679

Related Subject Headings

  • Mathematical Physics
  • 5107 Particle and high energy physics
  • 4904 Pure mathematics
  • 4902 Mathematical physics
  • 0206 Quantum Physics
  • 0105 Mathematical Physics
  • 0101 Pure Mathematics