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Vorticity and incompressible flow

Author: Andrew J Majda; Andrea L Bertozzi
Publisher: Cambridge [u.a.] : Cambridge Univ. Press, 2002.
Series: Cambridge texts in applied mathematics, 27.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

This book is a comprehensive introduction to the mathematical theory of vorticity and incompressible flow.

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Andrew J Majda; Andrea L Bertozzi
ISBN: 0521630576 0521639484 9780521639484 9780521630573
OCLC Number: 248366526
Description: XII, 545 S : graph. Darst ; 26 cm.
Contents: 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 Lâ ; 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.
Series Title: Cambridge texts in applied mathematics, 27.
Responsibility: Andrew J. Majda, Andrea L. Bertozzi.

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'... one of the very few good books that centres on the rigorous mathematical theory of vorticity and incompressible flow ... extremely well written and compelling reading ... the contents and the Read more...

 
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