Nonlinear Conservation Laws and Applications

Nonlinear Conservation Laws and Applications
Author :
Publisher : Springer
Total Pages : 491
Release :
ISBN-10 : 1441995552
ISBN-13 : 9781441995551
Rating : 4/5 (551 Downloads)

Book Synopsis Nonlinear Conservation Laws and Applications by : Alberto Bressan

Download or read book Nonlinear Conservation Laws and Applications written by Alberto Bressan and published by Springer. This book was released on 2011-04-26 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Summer Program on Nonlinear Conservation Laws and Applications held at the IMA on July 13--31, 2009. Hyperbolic conservation laws is a classical subject, which has experienced vigorous growth in recent years. The present collection provides a timely survey of the state of the art in this exciting field, and a comprehensive outlook on open problems. Contributions of more theoretical nature cover the following topics: global existence and uniqueness theory of one-dimensional systems, multidimensional conservation laws in several space variables and approximations of their solutions, mathematical analysis of fluid motion, stability and dynamics of viscous shock waves, singular limits for viscous systems, basic principles in the modeling of turbulent mixing, transonic flows past an obstacle and a fluid dynamic approach for isometric embedding in geometry, models of nonlinear elasticity, the Monge problem, and transport equations with rough coefficients. In addition, there are a number of papers devoted to applications. These include: models of blood flow, self-gravitating compressible fluids, granular flow, charge transport in fluids, and the modeling and control of traffic flow on networks.


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These notes developed from a course on the numerical solution of conservation laws first taught at the University of Washington in the fall of 1988 and then at