03622nam 2200637 450 991048064660332120170822144321.01-4704-1060-5(CKB)3780000000000273(EBL)3114170(SSID)ssj0001034815(PQKBManifestationID)11545113(PQKBTitleCode)TC0001034815(PQKBWorkID)11017390(PQKB)11174163(MiAaPQ)EBC3114170(PPN)195408446(EXLCZ)99378000000000027320150416h20132013 uy 0engur|n|---|||||txtccrOn the steady motion of a coupled system solid-liquid /Josef Bemelmans, Giovanni P. Galdi, Mads KyedProvidence, Rhode Island :American Mathematical Society,2013.©20131 online resource (102 p.)Memoirs of the American Mathematical Society,1947-6221 ;Volume 226, Number 1060"Volume 226, Number 1060 (first of 5 numbers)."0-8218-8773-4 Includes bibliographical references.""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Notation and Preliminaries""; ""2.1. Notation""; ""2.2. Preliminaries""; ""Chapter 3. Steady Free Motion: Definition and Formulation of the Problem""; ""3.1. Equations of Motion for the Elastic Body""; ""3.2. Equations of Motion for the Liquid""; ""3.3. Definition of a Steady Free Motion""; ""3.4. Non-dimensionlization""; ""Chapter 4. Main Result""; ""4.1. Strategy of Proof""; ""4.2. Isolated Orientation""; ""4.3. Statement of the Main Theorem""; ""4.4. Perturbation Parameter""; ""4.5. The Stokes Problem""""4.6. Perturbing Around an Isolated Orientation""""4.7. Compatibility Conditions""; ""Chapter 5. Approximating Problem in Bounded Domains""; ""5.1. Fixed-Point Approach""; ""5.2. Validity of the Compatibility Conditions""; ""5.3. Solvability of the Fluid Equations""; ""5.4. Solvability of the Elasticity Equations""; ""5.5. Existence in a Bounded Domain""; ""Chapter 6. Proof of Main Theorem""; ""Chapter 7. Bodies with Symmetry""; ""7.1. Symmetry Function Spaces""; ""7.2. Main Theorem for Symmetric Bodies""; ""7.3. Stokes Problem for a Symmetric Body""""7.4. Reformulation of the Equations of Motion""""7.5. Compatibility Conditions""; ""7.6. Approximating Problem in Bounded Domains""; ""7.7. Fixed-Point Approach""; ""7.8. Validity of the Compatibility Conditions""; ""7.9. Solvability of the Fluid Equations""; ""7.10. Solvability of the Elasticity Equations""; ""7.11. Existence in a Bounded Domain""; ""7.12. Proof of Main Theorem for Symmetric Bodies""; ""7.13. Examples""; ""Appendix A. Isolated Orientation""; ""Bibliography""Memoirs of the American Mathematical Society ;Volume 226, Number 1060.Solid-liquid interfacesCoupled mode theoryElastic solidsNavier-Stokes equationsElectronic books.Solid-liquid interfaces.Coupled mode theory.Elastic solids.Navier-Stokes equations.530.4/17Bemelmans Josef938056Galdi Giovanni P(Giovanni Paolo),1947-Kyed Mads1976-MiAaPQMiAaPQMiAaPQBOOK9910480646603321On the steady motion of a coupled system solid-liquid2113204UNINA