Global existence and exponential stability of small solutions to nonlinear viscoelasticity

研究成果: Article

84 引用 (Scopus)

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The global existence of smooth solutions to the equations of nonlinear hyperbolic system of 2nd order with third order viscosity is shown for small and smooth initial data in a bounded domain of n-dimensional Euclidean space with smooth boundary. Dirichlet boundary condition is studied and the asymptotic behaviour of exponential decay type of solutions as t tending to ∞ is described. Time periodic solutions are also studied. As an application of our main theorem, nonlinear viscoelasticity, strongly damped nonlinear wave equation and acoustic wave equation in viscous conducting fluid are treated.

元の言語English
ページ(範囲)189-208
ページ数20
ジャーナルCommunications in Mathematical Physics
148
発行部数1
DOI
出版物ステータスPublished - 1992 8 1
外部発表Yes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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