On the Motion, Amplification, and Blow-up of Fronts in Burgers-Type Equations with Quadratic and Modular Nonlinearity

A singularly perturbed initial-boundary value problem for a parabolic equation, which is called in applications an equation of Burgers type, is considered. Existence conditions are obtained, and an asymptotic approximation of a new class of solutions with a moving front is constructed. The results a...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Doklady. Mathematics 2020-07, Vol.102 (1), p.283-287
Hauptverfasser:	Nefedov, N. N., Rudenko, O. V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Amplification Boundary value problems Mathematics Mathematics and Statistics Modular construction Nonlinearity
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!