Finite time blow up in the hyperbolic Boussinesq system
Publication
, Journal Article
Kiselev, A; Tan, C
Published in: Advances in Mathematics
February 5, 2018
In recent work of Luo and Hou [10], a new scenario for finite time blow up in solutions of 3D Euler equation has been proposed. The scenario involves a ring of hyperbolic points of the flow located at the boundary of a cylinder. In this paper, we propose a two dimensional model that we call “hyperbolic Boussinesq system”. This model is designed to provide insight into the hyperbolic point blow up scenario. The model features an incompressible velocity vector field, a simplified Biot–Savart law, and a simplified term modeling buoyancy. We prove that finite time blow up happens for a natural class of initial data.
Duke Scholars
Published In
Advances in Mathematics
DOI
EISSN
1090-2082
ISSN
0001-8708
Publication Date
February 5, 2018
Volume
325
Start / End Page
34 / 55
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4902 Mathematical physics
- 4901 Applied mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Kiselev, A., & Tan, C. (2018). Finite time blow up in the hyperbolic Boussinesq system. Advances in Mathematics, 325, 34–55. https://doi.org/10.1016/j.aim.2017.11.019
Kiselev, A., and C. Tan. “Finite time blow up in the hyperbolic Boussinesq system.” Advances in Mathematics 325 (February 5, 2018): 34–55. https://doi.org/10.1016/j.aim.2017.11.019.
Kiselev A, Tan C. Finite time blow up in the hyperbolic Boussinesq system. Advances in Mathematics. 2018 Feb 5;325:34–55.
Kiselev, A., and C. Tan. “Finite time blow up in the hyperbolic Boussinesq system.” Advances in Mathematics, vol. 325, Feb. 2018, pp. 34–55. Scopus, doi:10.1016/j.aim.2017.11.019.
Kiselev A, Tan C. Finite time blow up in the hyperbolic Boussinesq system. Advances in Mathematics. 2018 Feb 5;325:34–55.
Published In
Advances in Mathematics
DOI
EISSN
1090-2082
ISSN
0001-8708
Publication Date
February 5, 2018
Volume
325
Start / End Page
34 / 55
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4902 Mathematical physics
- 4901 Applied mathematics
- 0101 Pure Mathematics