ENGLISH

Mathematical Topics in Fluid Mechanics: Volume 2: Compressible Models

By Pierre-Louis Lions

Book information

Publisher
Oxford University Press, USA
Year
1998
ISBN
0198514883, 9780198514886
LCC
QA901 .L56 1996
Language
english
Format
PDF
Filesize
8 MB (8765951 bytes)
Series
Oxford Lecture Series in Mathematics and Its Applications 10
Pages
368\364
Topic
Education
Scanned
yes
Time added
2011-06-04 13:46:07

Description

This volume and its companion, both written by a winner of the 1994 Fields Medal, provide a unique and rigorous treatise on mathematical aspects of fluid mechanics models. These 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. This second volume focuses on compressible Navier-Stokes equations. It is probably the first reference covering the issue of global solutions in the large. It includes entirely new 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 the world'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 contribution to one of the most important branches of science, the rigorous mathematical modeling of physical phenomena.

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