Navier-Stokes equations and nonlinear functional analysis /

This second edition, like the first, attempts to arrive as simply as possible at some central problems in the Navier-Stokes equations in the following areas: existence, uniqueness, and regularity of solutions in space dimensions two and three; large time behavior of solutions and attractors; and num...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Temam, Roger
Autor Corporativo: Society for Industrial and Applied Mathematics
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 1995.
Edición:2nd edition
Colección:CBMS-NSF regional conference series in applied mathematics ; 66.
Temas:
Fluid dynamics.
Navier-Stokes equations > Numerical solutions.
Nonlinear functional analysis.
Dynamique des fluides.
Équations de Navier-Stokes > Solutions numériques.
Analyse fonctionnelle non linéaire.
Navier-Stokes equations
Nonlinear functional analysis
Turbulence
Dynamical systems
Inertial manifolds
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Preface to the Second Edition
  • Introduction.
  • Part I: Questions related to the existence, uniqueness and regularity of solutions. Chapter 1: Representation of a flow: The Navier-Stokes equations
  • Chapter 2: Functional setting of the equations
  • Chapter 3: Existence and uniqueness theorems (mostly classical results)
  • Chapter 4: New a priori estimates and applications
  • Chapter 5: Regularity and fractional dimension
  • Chapter 6: Successive regularity and compatibility conditions at t=0 (bounded case)
  • Chapter 7: Analyticity in time
  • Chapter 8: Lagrangian representation of the flow.
  • Part II: Questions related to stationary solutions and functional invariant sets (attractors). Chapter 9: The Couette-Taylor experiment
  • Chapter 10: Stationary solutions of the Navier-Stokes equations
  • Chapter 11: The squeezing property
  • Chapter 12: Hausdorff dimension of an attractor.
  • Part III: Questions related to the numerical approximation. Chapter 13: Finite time approximation
  • Chapter 14: Long time approximation of the Navier-Stokes equations
  • Appendix: Inertial manifolds and Navier-Stokes equations
  • Comments and bibliography
  • Update for the Second Edition
  • References.

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