Transport equations and multi-D hyperbolic conservation laws
Author(s)
Bibliographic Information
Transport equations and multi-D hyperbolic conservation laws
（Lecture notes of the Unione matematica italiana, 5）
Springer, c2008
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Note
Other authors: Gianluca Crippa, Camillo De Lellis, Felix Otto, Michael Westdickenberg
Other editors: Stefano Bianchini, Rinaldo M. Colombo, Camillo De Lellis, Andrea Marson, Annamaria Montanari
"UMI."
"This book collects the lecture notes of two courses and one mini-course held in a winter school in Bologna in January 2005."--Pref
Includes bibliographical references and index
Contents of Works
- Existence, uniqueness, stability and differentiability properties of the flow associated to weakly differentiable vector fields / Luigi Ambrosio and Gianluca Crippa
- A note on Alberti's rank-one theorem / Camillo De Lellis
- Regularizing effect of nonlinearity in multidimensional scalar conservation lows / Gianluca Crippa, Felix Otto, and Michael Westdickenberg
Description and Table of Contents
Description
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.
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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