Self-Similar Blow-Up Solutions of the KPZ Equation

Alexander Gladkov

doi:10.1155/2015/572841

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Home > Journals > Int. J. Differ. Equ. > Volume 2015 > Article

2015 Self-Similar Blow-Up Solutions of the KPZ Equation

Alexander Gladkov

Int. J. Differ. Equ. 2015: 1-4 (2015). DOI: 10.1155/2015/572841

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Abstract

Self-similar blow-up solutions for the generalized deterministic KPZ equation ${u}_{t}={u}_{xx}+|{u}_{x}{|}^{q}$ with $q>2$ are considered. The asymptotic behavior of self-similar solutions is studied.

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Alexander Gladkov. "Self-Similar Blow-Up Solutions of the KPZ Equation." Int. J. Differ. Equ. 2015 1 - 4, 2015. https://doi.org/10.1155/2015/572841

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Received: 7 July 2015; Accepted: 16 August 2015; Published: 2015

First available in Project Euclid: 20 January 2017

zbMATH: 1384.34063

MathSciNet: MR3393621

Digital Object Identifier: 10.1155/2015/572841

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Alexander Gladkov "Self-Similar Blow-Up Solutions of the KPZ Equation," International Journal of Differential Equations, Int. J. Differ. Equ. 2015(none), 1-4, (2015)

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