Mathematical Topics in Fluid Mechanics: Volume 2: Compressible Models by Pierre-Louis Lions

Mathematical Topics in Fluid Mechanics: Volume 2: Compressible Models

byPierre-Louis Lions

Paperback | April 18, 2013

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This second volume works with the first to form a unique and rigorous treatise on various mathematical aspects of fluid mechanics models. These models consist of systems of nonlinear partial differential equations such as the incompressible and compressible NavierStokes equations. The mainemphasis in the first volume is on the mathematical analysis of incompressible models. The second volume is an attempt to achieve a mathematical understanding of compressible Navier-Stokes equations. It is probably the first reference covering the issue of global solutions in the large. It includes unique material on compactness properties of solutions for the Cauchy problem, the existence and regularity of stationary solutions, and the existence of global weak solutions. Written by one of theworld's leading researchers in nonlinear partial differential equations, Mathematical Topics in Fluid Mechanics will be an indispensable reference for every serious researcher in the field. Its topicality and the clear, concise, and deep presentation by the author make it an outstanding contributionto the great theoretical problems in science concerning rigorous mathematical modelling of physical phenomena.

About The Author

Pierre-Louis Lions is a Professor of Partial differential equations and their applications at College de France in Paris and Professor in the Department of Applied Mathematics, Ecole Polytechnique. His work focuses on the theory of nonlinear partial differential equations and he received the Fields Medal for his work in 1994.

Details & Specs

Title:Mathematical Topics in Fluid Mechanics: Volume 2: Compressible ModelsFormat:PaperbackDimensions:364 pages, 9.21 × 6.14 × 0.03 inPublished:April 18, 2013Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199679223

ISBN - 13:9780199679225

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Table of Contents

Part II: Compressible models5. Compactness results for compressible isentropic Navier-Stokes equations6. Stationary problems7. Existence results for Cauchy problems8. Related problemsAppendix A. A few facts about some function spacesAppendix B. On a weakly continuous productAppendix C. A remark on the limiting case for Sobolev inequalitiesAppendix D. Continua and limitsAppendix E. On sums of Lp spacesAppendix F. A remark on parabolic equationsBibliography of Volumes 1 and 2Erratum (Volume 1)Index