On the Steady Motion of a Coupled System Solid-Liquid.
Bemelmans, Josef.
On the Steady Motion of a Coupled System Solid-Liquid. - 1st ed. - 1 online resource (102 pages) - Memoirs of the American Mathematical Society ; v.226 . - Memoirs of the American Mathematical Society .
Intro -- 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.
9781470410605
Solid-liquid interfaces.
Coupled mode theory.
Elastic solids.
Navier-Stokes equations.
Electronic books.
QD509.S65 -- .B464 2013eb
530.4/17
On the Steady Motion of a Coupled System Solid-Liquid. - 1st ed. - 1 online resource (102 pages) - Memoirs of the American Mathematical Society ; v.226 . - Memoirs of the American Mathematical Society .
Intro -- 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.
9781470410605
Solid-liquid interfaces.
Coupled mode theory.
Elastic solids.
Navier-Stokes equations.
Electronic books.
QD509.S65 -- .B464 2013eb
530.4/17