Articles liés à Perfect Incompressible Fluids
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Présentation de l'éditeur :
The aim of this book is to offer a direct and self-contained access to some of the new or recent results in fluid mechanics. It gives an authoritative account on the theory of the Euler equations describing a perfect incompressible fluid. First of all, the text derives the Euler equations from a variational principle, and recalls the relations on vorticity and pressure. Various weak formulations are proposed. The book then presents the tools of analysis necessary for their study: Littlewood-Paley theory, action of Fourier multipliers on L spaces, and partial differential calculus. These techniques are then used to prove various recent results concerning vortext patches or sheets, essentially the persistence of the smoothness of the boundary of a vortex patch, even if that smoothness allows singular points, as well as the existence of weak solutions of the vorticity sheet type. The text also presents properties of microlocal (analytic or Gevrey) regularity of the solutions of Euler equations, and provides links of such properties to the smoothness in time of the flow of the solution vector field.
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- ÉditeurClarendon Press
- Date d'édition1998
- ISBN 10 0198503970
- ISBN 13 9780198503972
- ReliureRelié
- Nombre de pages198
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PERFECT INCOMPRESSIBLE FLUIDS (O
Edité par
Clarendon Press
(1998)
ISBN 10 : 0198503970
ISBN 13 : 9780198503972
Neuf
Couverture rigide
Quantité disponible : 1
Vendeur :
Evaluation vendeur
Description du livre Etat : New. New. In shrink wrap. Looks like an interesting title! 0.95. N° de réf. du vendeur Q-0198503970
Acheter neuf
EUR 260,34
Autre devise
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Perfect Incompressible Fluids
Edité par
Oxford University Press
(1998)
ISBN 10 : 0198503970
ISBN 13 : 9780198503972
Neuf
Couverture rigide
Quantité disponible : 2
Vendeur :
Evaluation vendeur
Description du livre Buch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - An accessible and self-contained introduction to recent advances in fluid dynamics, this book provides an authoritative account of the Euler equations for a perfect incompressible fluid. The book begins with a derivation of the Euler equations from a variational principle. It then recalls therelations on vorticity and pressure and proposes various weak formulations. The book develops the key tools for analysis: the Littlewood-Paley theory, action of Fourier multipliers on L spaces, and partial differential calculus. These techniques are used to prove various recent results concerningvortex patches or sheets; the main results include the persistence of the smoothness of the boundary of a vortex patch, even if that smoothness allows singular points, and the existence of weak solutions of the vorticity sheet type. The text also presents properties of microlocal (analytic orGevrey) regularity of the solutions of Euler equations and links such properties to the smoothness in time of the flow of the solution vector field. N° de réf. du vendeur 9780198503972
Acheter neuf
EUR 241,76
Autre devise