An introduction to Navier-Stokes equation and oceanography /

Saved in:
Bibliographic Details
Author / Creator:Tartar, Luc.
Imprint:Berlin ; New York : Springer, c2006.
Description:xxvii, 245 p. ; 24 cm.
Language:English
Series:Lecture notes of the Unione matematica italiana ; 1
Lecture notes of the Unione Matematica Italiana ; 1.
Subject:Navier-Stokes equations.
Oceanography -- Mathematical models.
Navier-Stokes equations.
Oceanography -- Mathematical models.
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/6165692
Hidden Bibliographic Details
ISBN:3540357432 (pbk.)
9783540357438
Notes:Includes bibliographical references and index.
Table of Contents:
  • 1. Basic physical laws and units
  • 2. Radiation balance of atmosphere
  • 3. Conservations in ocean and atmosphere
  • 4. Sobolev spaces I
  • 5. Particles and continuum mechanics
  • 6. Conservation of mass and momentum
  • 7. Conservation of energy
  • 8. One-dimensional wave equation
  • 9. Nonlinear effects, shocks
  • 10. Sobolev spaces II
  • 11. Linearized elasticity
  • 12. Ellipticity conditions
  • 13. Sobolev spaces III
  • 14. Sobolev spaces IV
  • 15. Sobolev spaces V
  • 16. Sobolev embedding theorem
  • 17. Fixed point theorems
  • 18. Brouwer's topological degree
  • 19. Time-dependent solutions I
  • 20. Time-dependent solutions II
  • 21. Time-dependent solutions III
  • 22. Uniqueness in 2 dimensions
  • 23. Traces
  • 24. Using compactness
  • 25. Existence of smooth solutions
  • 26. Semilinear models
  • 27. Size of singular sets
  • 28. Local estimates, compensated integrability
  • 29. Coriolis force
  • 30. Equation for the vorticity
  • 31. Boundary conditions in linearized elasticity
  • 32. Turbulence, homogenization
  • 33. G-convergence and H-convergence
  • 34. One-dimensional homogenization, Young measures
  • 35. Nonlocal effects I
  • 36. Nonlocal effects II
  • 37. A model problem
  • 38. Compensated compactness I
  • 39. Compensated compactness II
  • 40. Differential forms
  • 41. The compensated compactness method
  • 42. H-measures and variants
  • 43. Biographical Information
  • 44. Abbreviations and Mathematical Notation
  • References
  • Index