Self-similar blow-up solutions of the KPZ equation
Alexander Gladkov
TL;DR
This paper investigates self-similar blow-up solutions of a generalized KPZ equation, analyzing their asymptotic behavior to understand singularity formation in nonlinear PDEs.
Contribution
It introduces and studies self-similar blow-up solutions for a generalized KPZ equation with super-quadratic nonlinearity, expanding understanding of solution singularities.
Findings
Characterization of self-similar blow-up solutions
Analysis of asymptotic behavior of solutions
Insights into singularity formation in nonlinear PDEs
Abstract
In this paper we consider self-similar blow-up solutions for the generalized deterministic KPZ~equation The asymptotic behavior of self-similar solutions are studied.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Mathematical and Theoretical Epidemiology and Ecology Models · Nonlinear Differential Equations Analysis