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Differential equations, Partial --- Control theory --- 519.71 --- #KVIV:BB --- Partial differential equations --- Dynamics --- Machine theory --- 519.71 Control systems theory: mathematical aspects --- Control systems theory: mathematical aspects

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Partial differential equations --- Fluid mechanics --- 51 <082.1> --- Mathematics--Series --- Navier-Stokes equations. --- Boundary layer. --- Mathematical optimization. --- Riccati equation. --- Navier-Stokes, Équations de. --- Couche limite. --- Riccati, Équation de. --- Boundary layer --- Mathematical optimization --- Navier-Stokes equations --- Riccati equation --- Equation, Riccati --- Differential equations --- Equations, Navier-Stokes --- Differential equations, Partial --- Fluid dynamics --- Viscous flow --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Aerodynamics

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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.

Partial differential equations --- Differential equations --- akoestiek --- differentiaalvergelijkingen