000			01938 a2200301 4500
003			OSt
005			20250217162852.0
008			250214b xxu||||| |||| 00| 0 eng d
020			_a9783319927824
040			_cIIT Kanpur
041			_aeng
082			_a515.353 _bM42
245			_aMathematical theory of evolutionary fluid-flow structure interactions _cBarbara Kaltenbacher... [et al.]
260			_bBirkhäuser _c2018 _aSwitzerland
300			_axiii, 307p
440			_aOberwolfach seminars
490			_v; v. 48
520			_aThis 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.
650			_aDifferential equations, Partial
650			_aFluid-structure interaction mathematics
700			_aKaltenbacher, Barbara
700			_aKukavica, Igor
700			_aLasiecka, Irena
700			_aTriggiani, Roberto
700			_aTuffaha, Amjad
700			_aWebster, Justin T.
942			_cBK
999			_c567165 _d567165