Self-Similar Blow-Up Solutions of the KPZ Equation-Reference-Cited by-同舟云学术

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Self-Similar Blow-Up Solutions of the KPZ Equation

Published:2015 Issue: Volume:2015 Page:1-4
ISSN:1687-9643
Container-title:International Journal of Differential Equations
language:en
Short-container-title:International Journal of Differential Equations

Author:

Gladkov Alexander¹^ORCID

Affiliation:

1. Department of Mathematics and Mechanics, Belarusian State University, Nezavisimosti Avenue 4, 220030 Minsk, Belarus

Abstract

Self-similar blow-up solutions for the generalized deterministic KPZ equationut=uxx+|ux|qwithq>2are considered. The asymptotic behavior of self-similar solutions is studied.

Funder

State Research Program of Belarus

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/ijde/2015/572841.pdf

Reference13 articles.

1. Dynamic Scaling of Growing Interfaces

2. THE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASS

3. Global existence and decay for a nonlinear parabolic equation

4. Global existence and decay for viscous Hamilton-Jacobi equations

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. ANALYTIC SELF-SIMILAR SOLUTIONS OF THE KARDAR-PARISI-ZHANG INTERFACE GROWING EQUATION WITH VARIOUS NOISE TERMS;Mathematical Modelling and Analysis;2020-03-18

2. On The Stabilization of Solutions of Nonlinear Parabolic Equations with Lower-Order Derivatives;Journal of Mathematical Sciences;2019-11-27

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