Analyticity and large time behavior for the Burgers equation and the quasi-geostrophic equation, the both with the critical dissipation

研究成果: Article査読

1 被引用数 (Scopus)

抄録

This paper is concerned with the Cauchy problem of the Burgers equation with the critical dissipation. The well-posedness and analyticity in both of the space and the time variables are studied based on the frequency decomposition method. The large time behavior is revealed for any large initial data. As a result, it is shown that any smooth and integrable solution is analytic in space and time as long as time is positive and behaves like the Poisson kernel as time tends to infinity. The corresponding results are also obtained for the quasi-geostrophic equation.

本文言語English
ページ(範囲)855-876
ページ数22
ジャーナルAnnales de l'Institut Henri Poincare (C) Analyse Non Lineaire
37
4
DOI
出版ステータスPublished - 2020 7 1

ASJC Scopus subject areas

  • 分析
  • 数理物理学
  • 応用数学

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