Pierre-Louis Lions (Professor of Partial Differential Equations a

Mathematical Topics in Fluid Mechanics

Volume 1: Incompressible Models

• Broschiertes Buch

Produktbeschreibung

One of the most challenging topics in applied mathematics has been the development of the theory of nonlinear partial differential equations. Despite a long history of contributions, there exists no central core theory. This two volume work forms a unique and rigorous treatise on various mathematical aspects of fluid mechanics models.

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Produktdetails

• Oxford Lecture Series in Mathematics and Its Applications
• Verlag: Oxford University Press
• Seitenzahl: 252
• Erscheinungstermin: 18. April 2013
• Englisch
• Abmessung: 237mm x 165mm x 14mm
• Gewicht: 404g
• ISBN-13: 9780199679218
• ISBN-10: 0199679215
• Artikelnr.: 47869969

Autorenporträt

Pierre-Louis Lions is a Professor of Partial differential equations and their applications at Collège 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.

Inhaltsangabe

Preface
Table of contents
1: Presentation of the models
Part 1: Incompressible Models
2: Density-dependent Navier-Stokes equations
3: Navier-Stokes equations
4: Euler equations and other incompressible models
Appendix A Truncation of divergence-free vectorfields
Appendix B Two facts on D1,2(R2)
Appendix C Compactness in time with values in weak topologies
Appendix D Weak L1 estimates for solutions of the heat equation
Appendix E A short proof of the existence of renormalized solutions for parabolic equations
Intended Table of Contents of Volume 2
Part 2: Compressible Models
5: Compactness results for compressible isentropic Navier-Stokes
6: Stationary problems
7: Existence results
8: Related questions
Part 3: Asymptotic limites
9: Asymptotic limits