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1996 Asymptotics of blowup for a convection-diffusion equation with conservation
Gregory R. Conner, Christopher P. Grant
Differential Integral Equations 9(4): 719-728 (1996).

Abstract

This paper deals with a parabolic partial differential equation that incorporates diffusion and convection terms and that previously has been shown to have solutions that become unbounded at a single point in finite time. The results presented here describe the limiting behavior of the solution in a neighborhood of the blowup point, as well as the asymptotic growth rate as the blowup time is approached. Rigorous estimates are proved, and some supplementary numerical calculations are presented.

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Gregory R. Conner. Christopher P. Grant. "Asymptotics of blowup for a convection-diffusion equation with conservation." Differential Integral Equations 9 (4) 719 - 728, 1996.

Information

Published: 1996
First available in Project Euclid: 7 May 2013

zbMATH: 0856.35011
MathSciNet: MR1401433

Subjects:
Primary: 35K60
Secondary: 35B40

Rights: Copyright © 1996 Khayyam Publishing, Inc.

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Vol.9 • No. 4 • 1996
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