Hyperbolic Systems of Conservation Laws: The Theory of Classical and Nonclassical Shock Waves: The Theory of Classical and Nonclassical Shockwaves

by Philippe G. LeFloch

This book examines the well-posedness theory for nonlinear hyperbolic systems of conservation laws, recently completed by the author together with his collaborators. It covers the existence, uniqueness, and continuous dependence of classical entropy solutions. It also introduces the reader to the developing theory of nonclassical (undercompressive) entropy solutions. The systems of partial differential equations under consideration arise in many areas of continuum physics.

308 pages, Kindle Edition

First published January 1, 2002