Vorticity and incompressible flow /

Guardado en:
Autor Principal: Majda, Andrew, 1949-
Otros Autores: Bertozzi, Andrea L.
Formato: Libro
Idioma:English
Publicado: Cambridge : Cambridge University Press, 2002.
Series:Cambridge texts in applied mathematics
Materias:
Acceso en línea:Publisher description
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Tabla de Contenidos:
  • 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.