Large-gradient and Lagrange singularities of solutions of a quasilinear parabolic equation
Analysis of PDEs
2016-02-09 v1
Abstract
Asymptotic solutions of a quasilinear parabolic equation with a small parameter at the higher derivative are constructed near large-gradient and Lagrange singularities of A-type, which represent interest for studying processes of shock waves formation in physical media with a small nonzero viscosity.
Keywords
Cite
@article{arxiv.1602.02457,
title = {Large-gradient and Lagrange singularities of solutions of a quasilinear parabolic equation},
author = {Sergei V. Zakharov},
journal= {arXiv preprint arXiv:1602.02457},
year = {2016}
}
Comments
Keywords: parabolic equation, Burgers equation, Cole-Hopf transform, asymptotics, large gradient, Lagrange singularities, Whitney fold. 7 pages