Asymptotic behavior of radially symmetric solutions for a quasilinear hyperbolic fluid model in higher dimensions

Itsuko Hashimoto, Hideo Kozono

研究成果: Article査読

1 被引用数 (Scopus)

抄録

We consider the large time behavior of the radially symmetric solution to the equation for a quasilinear hyperbolic model in the exterior domain of a ball in general space dimensions. In the previous paper [2], we proved the asymptotic stability of the stationary wave of the Burgers equations in the same exterior domain when the solution is also radially symmetric. On the other hand, in the 1D-case, a similar asymptotic structure as above to the damped wave equation with a convection term has been established by Ueda [10] and Ueda–Kawashima [11]. Assuming a certain condition on the boundary data on the ball and the behavior at infinity of the fluid, we shall prove that the stationary wave of our quasilinear hyperbolic model is asymptotically stable. The weighted L2-energy method plays a crucial role in removing such a restriction on the sub-characteristic condition on the stationary wave.

本文言語English
ページ(範囲)5133-5159
ページ数27
ジャーナルJournal of Differential Equations
262
10
DOI
出版ステータスPublished - 2017 5月 15
外部発表はい

ASJC Scopus subject areas

  • 分析
  • 応用数学

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