Width of the analyticity strip in space variable of viscous Burgers shockwaves
Analysis of PDEs
2008-12-18 v2 Mathematical Physics
Complex Variables
math.MP
Abstract
Analytic continuation of viscous shock solution for the generalized Burgers equation with polynomial nonlinear source term is investigated. We show that a pertubated wave recovers its analyticity in the space variable in the strip limited by the first pair of singularities of the wave.
Keywords
Cite
@article{arxiv.0803.2959,
title = {Width of the analyticity strip in space variable of viscous Burgers shockwaves},
author = {Cédric Lejard},
journal= {arXiv preprint arXiv:0803.2959},
year = {2008}
}