Transport Equations and Multi-D Hyperbolic Conservation Laws
Publication year: 2008
ISBN: 978-3-540-76781-7
Internet Resource: Please Login to download book
The theory of nonlinear hyperbolic equations in several space dimensions has recently obtained remarkable achievements thanks to ideas and techniques related to the structure and fine properties of functions of bounded variation. This volume provides an up-to-date overview of the status and perspectives of two areas of research in PDEs, related to hyperbolic conservation laws. Geometric and measure theoretic tools play a key role to obtain some fundamental advances: the well-posedness theory of linear transport equations with irregular coefficients, and the study of the BV-like structure of bounded entropy solutions to multi-dimensional scalar conservation laws.
Subject: Mathematics and Statistics, differential equation, fine properties of BV functions, hyperbolic equation, hyperbolic systems, measure, measure theory, partial differential equation, renormalized solutions, several dimensions, transport equations, partial differential equations, ordinary differential equations
