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Vorticity and Incompressible Flow
Taschenbuch von Andrew J. Majda
Sprache: Englisch

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Beschreibung
This comprehensive introduction to the mathematical theory of vorticity and incompressible flow begins with the elementary introductory material and leads into current research topics. While the book centers on mathematical theory, many parts also showcase the interaction among rigorous mathematical theory, numerical, asymptotic, and qualitative simplified modeling, and physical phenomena. The first half forms an introductory graduate course on vorticity and incompressible flow. The second half comprises a modern applied mathematics graduate course on the weak solution theory for incompressible flow.
This comprehensive introduction to the mathematical theory of vorticity and incompressible flow begins with the elementary introductory material and leads into current research topics. While the book centers on mathematical theory, many parts also showcase the interaction among rigorous mathematical theory, numerical, asymptotic, and qualitative simplified modeling, and physical phenomena. The first half forms an introductory graduate course on vorticity and incompressible flow. The second half comprises a modern applied mathematics graduate course on the weak solution theory for incompressible flow.
Inhaltsverzeichnis
Preface; 1. An introduction to vortex dynamics for incompressible fluid flows; 2. The vorticity-stream formulation of the Euler and the Navier-Stokes equations; 3. Energy methods for the Euler and the Navier-Stokes equations; 4. The particle-trajectory method for existence and uniqueness of solutions to the Euler equation; 5. The search for singular solutions to the 3D Euler equations; 6. Computational vortex methods; 7. Simplified asympototic equations for slender vortex filaments; 8. Weak solutions to the 2D Euler equations with initial vorticity in L¿; 9. Introduction to vortex sheets, weak solutions and approximate-solution sequences for the Euler equation; 10. Weak solutions and solution sequences in two dimensions; 11. The 2D Euler equation: concentrations and weak solutions with vortex-sheet initial data; 12. Reduced Hausdorff dimension, oscillations and measure-valued solutions of the Euler equations in two and three dimensions; 13. The Vlasov-Poisson equations as an analogy to the Euler equations for the study of weak solutions; Index.
Details
Erscheinungsjahr: 2007
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 560
ISBN-13: 9780521639484
ISBN-10: 0521639484
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Majda, Andrew J.
Hersteller: Cambridge University Press
Maße: 244 x 170 x 30 mm
Von/Mit: Andrew J. Majda
Erscheinungsdatum: 31.08.2007
Gewicht: 0,954 kg
preigu-id: 102551600
Inhaltsverzeichnis
Preface; 1. An introduction to vortex dynamics for incompressible fluid flows; 2. The vorticity-stream formulation of the Euler and the Navier-Stokes equations; 3. Energy methods for the Euler and the Navier-Stokes equations; 4. The particle-trajectory method for existence and uniqueness of solutions to the Euler equation; 5. The search for singular solutions to the 3D Euler equations; 6. Computational vortex methods; 7. Simplified asympototic equations for slender vortex filaments; 8. Weak solutions to the 2D Euler equations with initial vorticity in L¿; 9. Introduction to vortex sheets, weak solutions and approximate-solution sequences for the Euler equation; 10. Weak solutions and solution sequences in two dimensions; 11. The 2D Euler equation: concentrations and weak solutions with vortex-sheet initial data; 12. Reduced Hausdorff dimension, oscillations and measure-valued solutions of the Euler equations in two and three dimensions; 13. The Vlasov-Poisson equations as an analogy to the Euler equations for the study of weak solutions; Index.
Details
Erscheinungsjahr: 2007
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 560
ISBN-13: 9780521639484
ISBN-10: 0521639484
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Majda, Andrew J.
Hersteller: Cambridge University Press
Maße: 244 x 170 x 30 mm
Von/Mit: Andrew J. Majda
Erscheinungsdatum: 31.08.2007
Gewicht: 0,954 kg
preigu-id: 102551600
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