Mathematical Topics in Fluid Mechanics - Volume 1: Incompressible Models

Informationen zum Autor 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. Klappentext 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. Zusammenfassung 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. Inhaltsverzeichnis 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

Product details

• Authors: P. L. Lions, Pierre-Louis Lions, Pierre-Louis ( Lions, Pierre-Louis (Professor of Partial Differen Lions, Pierre-Louis (Professor of Partial Differential Equations and their Applications at College de France and Professor in the Department of Applied Mathematics Lions
• Publisher: Oxford University Press
• Languages: English
• Product format: Paperback / Softback
• Released: 18.04.2013
• EAN: 9780199679218
• ISBN: 978-0-19-967921-8
• No. of pages: 252
• Series: Oxford Lecture Series in Mathematics and Its Applications; Oxford Lecture Series in Mathe; Oxford Lecture Series in Mathematics and Its Applications; Oxford Lecture Series in Mathe; Oxford Lecture Mathematics and
• Subject: Natural sciences, medicine, IT, technology > Physics, astronomy > Mechanics, acoustics