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January/February 2010 On the stability of line-shock profiles for Kadomtsev-Petviashvili-Burgers equations
Bassam Kojok
Adv. Differential Equations 15(1/2): 99-136 (January/February 2010). DOI: 10.57262/ade/1355854765

Abstract

We investigate the KP-Burgers flow in the background of the shock profile solution of the KdV-Burgers equation. We show that the KdV-Burgers shock profile is stable and asymptotically stable under the KPB-I flow with respect to small perturbations in some spaces close to the energy space.

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Bassam Kojok. "On the stability of line-shock profiles for Kadomtsev-Petviashvili-Burgers equations." Adv. Differential Equations 15 (1/2) 99 - 136, January/February 2010. https://doi.org/10.57262/ade/1355854765

Information

Published: January/February 2010
First available in Project Euclid: 18 December 2012

zbMATH: 1191.35233
MathSciNet: MR2588391
Digital Object Identifier: 10.57262/ade/1355854765

Subjects:
Primary: 35B30 , 35Q53 , 37K40 , 37K45 , 42B35 , 76B03 , 76B15

Rights: Copyright © 2010 Khayyam Publishing, Inc.

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Vol.15 • No. 1/2 • January/February 2010
Khayyam Publishing, Inc.
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