Transport Equations and Multi-D Hyperbolic Conservation Laws

Luigi Ambrosio (u. a.)

ISBN 10: 3540767800 / ISBN 13: 9783540767800

Published by Springer, 2008

About this Item

Transport Equations and Multi-D Hyperbolic Conservation Laws | Luigi Ambrosio (u. a.) | Taschenbuch | xiv | Englisch | 2008 | Springer | EAN 9783540767800 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand.

Seller Inventory # 101909492

Bibliographic Details

• Title: Transport Equations and Multi-D Hyperbolic Conservation Laws
• Publisher: Springer
• Publication Date: 2008
• Language: English
• ISBN 10: 3540767800
• ISBN 13: 9783540767800
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 9D millimeters 235 millimeters width by 155 millimeters height by 9 millimeters depth
• Weight: 236 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

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.

The volume contains surveys of recent deep results, provides an overview of further developments and related open problems, and will capture the interest of members both of the hyperbolic and the elliptic community willing to explore the intriguing interplays that link their worlds. Readers should have basic knowledge of PDE and measure theory.