Majda, Andrew, 1949-
Vorticity and incompressible flow / Andrew J. Majda, Andrea L. Bertozzi.
— Cambridge : Cambridge University Press, 2002. xii, 545 p. : il. ; 26 cm. — (Cambridge texts in applied mathematics)
Incluye referencias bibliográficas e índice.
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.
ISBN 0521630576 (hb). — ISBN 0521639484 (pb)
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