Self-similar blow-up solutions of the KPZ equation

preprint2014arXivOpen access

In this paper we consider self-similar blow-up solutions for the generalized deterministic KPZ~equation $u_t = u_{xx} + λ\vert u_x \vert ^q, λ> 0, q > 2.$ The asymptotic behavior of self-similar solutions are studied.

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Self-similar blow-up solutions of the KPZ equation

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