Transport Equations and Multi-D Hyperbolic Conservation Laws / Edition 1

Transport Equations and Multi-D Hyperbolic Conservation Laws / Edition 1

by Luigi Ambrosio, Gianluca Crippa, Camillo De Lellis, Felix Otto
     
 

ISBN-10: 3540767800

ISBN-13: 9783540767800

Pub. Date: 03/11/2008

Publisher: Springer Berlin Heidelberg

The theory of nonlinear hyperbolic equations in several space dimensions has recently obtained remarkable achievements. 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. The captivating volume contains surveys of recent deep results and provides an overview of

Overview

The theory of nonlinear hyperbolic equations in several space dimensions has recently obtained remarkable achievements. 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. The captivating volume contains surveys of recent deep results and provides an overview of further developments and related open problems. Readers should have basic knowledge of PDE and measure theory.

Product Details

ISBN-13:
9783540767800
Publisher:
Springer Berlin Heidelberg
Publication date:
03/11/2008
Series:
Lecture Notes of the Unione Matematica Italiana Series, #5
Edition description:
2008
Pages:
131
Product dimensions:
5.90(w) x 9.20(h) x 0.30(d)

Table of Contents

I.- Existence, Uniqueness, Stability and Differentiability Properties of the Flow Associated to Weakly Differentiable Vector Fields.- II.- A Note on Alberti's Rank-One Theorem.- III.- Regularizing Effect of Nonlinearity in Multidimensional Scalar Conservation Laws.

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