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Higher Order Asymptotics of Decaying Solutions of some Generalized Burgers Equations

Mathematical Physics 2022-09-20 v2 math.MP

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.

Keywords

Cite

@article{arxiv.2208.03335,
  title  = {Higher Order Asymptotics of Decaying Solutions of some Generalized Burgers Equations},
  author = {Gastão A. Braga and Frederico Furtado and Jussara M. Moreira and Antônio Marcos da Silva},
  journal= {arXiv preprint arXiv:2208.03335},
  year   = {2022}
}

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25 pages