ENGLISH

Transport equations and multi-D hyperbolic conservation laws

By Luigi Ambrosio , Gianluca Crippa , Felix Otto , Michael Westdickenberg , Camillo De Lellis , Fabio Ancona , Stefano Bianchini , Rinaldo M. Colombo , Andrea Marson , Annamaria Montanari

Book information

Publisher
Springer
Year
2008
ISBN
3540767800, 9783540767800
Language
english
Format
PDF
Filesize
949 kB (971274 bytes)
Series
Lecture Notes of the Unione Matematica Italiana
Edition
1
Pages
138\138
Library
Kolxo3
Scanned
yes
Time added
2009-07-20 03:45:11

Description

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.

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