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Transport Equations and Multi-D Hyperbolic Conservation Laws: Lecture Notes of the Unione Matematica Italiana, cartea 5

Autor Luigi Ambrosio Editat de Fabio Ancona Autor Gianluca Crippa Editat de Stefano Bianchini Autor Camillo De Lellis Editat de Rinaldo M. Colombo Autor Felix Otto, Michael Westdickenberg Editat de Andrea Marson, Annamaria Montanari
en Limba Engleză Paperback – 28 ian 2008
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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Specificații

ISBN-13: 9783540767800
ISBN-10: 3540767800
Pagini: 230
Ilustrații: XIV, 131 p.
Dimensiuni: 155 x 235 x 13 mm
Greutate: 0.24 kg
Ediția:2008
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes of the Unione Matematica Italiana

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.

Textul de pe ultima copertă

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.

Caracteristici

Includes supplementary material: sn.pub/extras