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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions

Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions

Kaltenbacher, Barbara
Kukavica, Igor
Lasiecka, Irena

Paperback

Series: Oberwolfach Seminars, Book 48

General Mathematics

ISBN10: 3319927825
ISBN13: 9783319927824
Publisher: Birkhauser
Published: Jul 3 2018
Pages: 309
Weight: 1.14
Height: 0.68 Width: 6.69 Depth: 9.61
Language: English

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 acousticsor elasticity, as they arise in the context of high intensity ultrasound applications.

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