Higher Order Asymptotics of Decaying Solutions of some Generalized Burgers Equations

2022/08/05 by Braga, Gastão A., Furtado, Frederico, Moreira, Jussara M. +1
#FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2208.03335

Abstract

We study the large-time behavior of solutions to a generalized Burgers Equation, with initial zero mass data. Our main purpose is to present a modified version of the Renormalization Group map, which is able to provide the higher order asymptotic properties of the solution to the Cauchy problem of a class of nonlinear time-evolution problems.

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