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Mathematical theory of evolutionary fluid-flow structure interactions

  • 作者: Kaltenbacher, Barbara, author.
  • 其他作者:
  • 其他題名:
    • Oberwolfach seminars ;
  • 出版: Cham : Springer International Publishing :Imprint: Birkhauser
  • 叢書名: Oberwolfach seminars,volume 48
  • 主題: Fluid-structure interaction--Mathematics. , Differential equations, Partial. , Mathematics. , Partial Differential Equations.
  • ISBN: 9783319927831 (electronic bk.) 、 9783319927824 (paper)
  • FIND@SFXID: CGU
  • 資料類型: 電子書
  • 內容註: An introduction to a fluid-structure model -- Linear parabolic-hyperbolic fluid-structure interaction models -- Flow-plate interactions: well-posedness and long-time behavior -- Some aspects in nonlinear acoustics coupling and shape optimization.
  • 摘要註: This book is devoted to the study of coupled partial differential equation models, which describe complex dynamical systems occurring in modern scientific applications such as fluid/flow-structure interactions. The first chapter provides a general description of a fluid-structure interaction, which is formulated within a realistic framework, where the structure subject to a frictional damping moves within the fluid. The second chapter then offers a multifaceted description, with often surprising results, of the case of the static interface; a case that is argued in the literature to be a good model for small, rapid oscillations of the structure. The third chapter describes flow-structure interaction where the compressible Navier-Stokes equations are replaced by the linearized Euler equation, while the solid is taken as a nonlinear plate, which oscillates in the surrounding gas flow. The final chapter focuses on a the equations of nonlinear acoustics coupled with linear acoustics or elasticity, as they arise in the context of high intensity ultrasound applications.
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  • 系統號: 005432405 | 機讀編目格式
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