Transport Equations and Multi-D Hyperbolic Conservation Laws Transport Equations and Multi-D Hyperbolic Conservation Laws
Lecture Notes of the Unione Matematica Italiana

Transport Equations and Multi-D Hyperbolic Conservation Laws

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Descripción editorial

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.

GÉNERO
Ciencia y naturaleza
PUBLICADO
2008
17 de febrero
IDIOMA
EN
Inglés
EXTENSIÓN
145
Páginas
EDITORIAL
Springer Berlin Heidelberg
VENDEDOR
Springer Nature B.V.
TAMAÑO
2.7
MB

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