Asymptotic profile of solutions to nonlinear dissipative evolution system with ellipticity

Kenji Nishihara

研究成果: Article査読

10 被引用数 (Scopus)

抄録

We consider the Cauchy problem for the nonlinear dissipative evolution system with ellipticity on one dimensional space equation presented, with 0 < ν2 < 4 α (1 - α), 0 < α < 1. S. Q. Tang and H. Zhao [4] have considered the problem and obtained the optimal decay property for suitably small data. In this paper we derive the asymptotic profile using the Gauss kernel G(t, x), which shows the precise behavior of solution as time tends to infinity. In fact, we will show that the asymptotic formula equation presented, holds, where D 0, β0 are determined by the data. It is the key point to reformulate the system to the nonlinear parabolic one by suitable changing variables.

本文言語English
ページ(範囲)604-614
ページ数11
ジャーナルZeitschrift fur Angewandte Mathematik und Physik
57
4
DOI
出版ステータスPublished - 2006 7
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)
  • 応用数学

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