LEADER 03527nam 22005415 450 001 9910300117503321 005 20200706041113.0 010 $a3-319-92783-3 024 7 $a10.1007/978-3-319-92783-1 035 $a(CKB)3810000000358849 035 $a(DE-He213)978-3-319-92783-1 035 $a(MiAaPQ)EBC6310452 035 $a(PPN)229495079 035 $a(EXLCZ)993810000000358849 100 $a20180621d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematical Theory of Evolutionary Fluid-Flow Structure Interactions$b[electronic resource] /$fby Barbara Kaltenbacher, Igor Kukavica, Irena Lasiecka, Roberto Triggiani, Amjad Tuffaha, Justin T. Webster 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2018. 215 $a1 online resource (XIII, 307 p.) 225 1 $aOberwolfach Seminars,$x1661-237X ;$v48 311 $a3-319-92782-5 320 $aIncludes bibliographical references and index. 327 $aAn 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. 330 $aThis book is devoted to the study of coupled partial differential equation models, which describe complex dynamical systems occurring in modern scientific applications such as fluid/flow-structure interactions. The first chapter provides a general description of a fluid-structure interaction, which is formulated within a realistic framework, where the structure subject to a frictional damping moves within the fluid. The second chapter then offers a multifaceted description, with often surprising results, of the case of the static interface; a case that is argued in the literature to be a good model for small, rapid oscillations of the structure. The third chapter describes flow-structure interaction where the compressible Navier-Stokes equations are replaced by the linearized Euler equation, while the solid is taken as a nonlinear plate, which oscillates in the surrounding gas flow. The final chapter focuses on a the equations of nonlinear acoustics coupled with linear acoustics or elasticity, as they arise in the context of high intensity ultrasound applications. 410 0$aOberwolfach Seminars,$x1661-237X ;$v48 606 $aPartial differential equations 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 615 0$aPartial differential equations. 615 14$aPartial Differential Equations. 676 $a620.1064 700 $aKaltenbacher$b Barbara$4aut$4http://id.loc.gov/vocabulary/relators/aut$0981432 702 $aKukavica$b Igor$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aLasiecka$b Irena$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aTriggiani$b Roberto$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aTuffaha$b Amjad$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aWebster$b Justin T$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300117503321 996 $aMathematical Theory of Evolutionary Fluid-Flow Structure Interactions$92240079 997 $aUNINA