Vorticity and incompressible flow
Andrew J. Majda, Andrea L. Bertozzi.
Cambridge : Cambridge University Press, 2002.
xii, 545 págs. : ilustraciones ; 26 cm.
Serie: Cambridge texts in applied mathematics
ISBN: 0521630576 (hb), 0521639484 (pb)
Incluye referencias bibliográficas e índice.
Reseña: MathSciNet, 2003a:76002
Contenido
- 1. An introduction to vortex dynamics for incompressible fluid flows
- 2. The vorticity-stream formulation for 2D flows
- 3. Energy methods for the Euler and Navier-Stokes equations
- 4. The particle trajectory method for existence and uniqueness of solutions to the Euler equation
- 5. The search for singular solutions of the 3-D Euler equations
- 6. Computational vortex methods
- 7. Simplified asympototic equations for slender vortex filaments
- 8. Weak solutions to the 2-D Euler equations with initial vorticity in L00
- 9. Introduction to vortex sheets, weak solutions, and approximate solution sequences for the Euler equation
- 10. Weak solutions and solution sequences in 2D
- 11. The 2D Euler equation: concentrations and weak solutions with vortex sheet initial data
- 12. Reduced Hausdorff oscillations, and measure valued solutions of the Euler equations in 2 and 3D
- 13. The Vlasov-Poisson equations as an analogy to the Euler equations for the study of weak solutions.
