On the steady motion of a coupled system solid-liquid / / Josef Bemelmans, Giovanni P. Galdi, Mads Kyed

• Record Nr.: UNINA9910480646603321
• Autore: Bemelmans Josef
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , 2013; ©2013
• ISBN: 1-4704-1060-5
• Descrizione fisica: 1 online resource (102 p.)
• Collana: Memoirs of the American Mathematical Society, , 1947-6221 ; ; Volume 226, Number 1060
• Disciplina: 530.4/17
• Soggetti: Solid-liquid interfaces; Coupled mode theory; Elastic solids; Navier-Stokes equations; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: "Volume 226, Number 1060 (first of 5 numbers)."
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""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""