Pierre-Louis Lions

Mathematical Topics in Fluid Mechanics

• Gebundenes Buch

Produktbeschreibung

A second part of volume number 10 in the OXFORD LECTURE SERIES IN MATHEMATICS AND ITS APPLICATIONS, which describes compressible fluids-mechanics models and deals with problems associated with the compressible Navier-Stokes equations.

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Fluid mechanics models consist of systems of nonlinear partial differential equations for which, despite a long history of important mathematical contributions, no complete mathematical understanding is available. The second volume of this book describes compressible fluid-mechanics models. The book contains entirely new material on a subject known to be rather difficult and important for applications (compressible flows). It is probably a unique effort on the mathematical problems associated with the compressible Navier-Stokes equations, written by one of the world's leading experts on nonlinear partial differential equations. Professor P.L. Lions won the Fields Medal in 1994.

Produktdetails

• Verlag: Oxford University Press, USA
• Seitenzahl: 364
• Erscheinungstermin: 4. Juni 1998
• Englisch
• Abmessung: 243mm x 162mm x 24mm
• Gewicht: 698g
• ISBN-13: 9780198514886
• ISBN-10: 0198514883
• Artikelnr.: 22944234

Autorenporträt

Professor of Mathematics at University Paris-Dauphine and of Applied Mathematics at Ecole Polytechnique. Address to which correspondence should be sent: CEREMADE - URA CNRS 749, Universite Paris-Dauphine, Place de Lattre de Tassigny, F - 75775 Paris Cedex 16, France

Inhaltsangabe

Part II: Compressible models
5: Compactness results for compressible isentropic Navier-Stokes equations
6: Stationary problems
7: Existence results for Cauchy problems
8: Related problems
Appendix A. A few facts about some function spaces
Appendix B. On a weakly continuous product
Appendix C. A remark on the limiting case for Sobolev inequalities
Appendix D. Continua and limits
Appendix E. On sums of Lp spaces
Appendix F. A remark on parabolic equations
Bibliography of Volumes 1 and 2
Erratum (Volume 1)
Index