Global solutions to quasi-linear hyperbolic systems of viscoelasticity

Priyanjana M.N. Dharmawardane, Tohru Nakamura, Shuichi Kawashima

研究成果: Article査読

6 被引用数 (Scopus)

抄録

In the present paper, we study a large-time behavior of solutions to a quasilinear second-order hyperbolic system which describes a motion of viscoelastic materials. The system has dissipative properties consisting of a memory term and a damping term. It is proved that the solution exists globally in time in the Sobolev space, provided that the initial data are sufficiently small. Moreover, we show that the solution converges to zero as time tends to infinity. The crucial point of the proof is to derive uniform a priori estimates of solutions by using an energy method.

本文言語English
ページ(範囲)467-483
ページ数17
ジャーナルKyoto Journal of Mathematics
51
2
DOI
出版ステータスPublished - 2011 6 1
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)

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