Transport Equations and Multi-D Hyperbolic Conservation Laws

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 perspect...

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Principais autores: Ambrosio, Luigi., Crippa, Gianluca., Lellis, Camillo., Otto, Felix., Westdickenberg, Michael., SpringerLink (Online service)
Formato: Digital
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Assuntos:
Equações diferenciais parciais.
Equações diferenciais.
Otimização matemática.
Matemática.
Endereço do item:http://dx.doi.org/10.1007/978-3-540-76781-7
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spelling oai:localhost:123456789-2121012023-07-17T15:13:11Z Transport Equations and Multi-D Hyperbolic Conservation Laws Ambrosio, Luigi. Crippa, Gianluca. Lellis, Camillo. Otto, Felix. Westdickenberg, Michael. SpringerLink (Online service) Equações diferenciais parciais. Equações diferenciais. Otimização matemática. Matemática. 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. 0 2022-10-11T17:32:36Z 2022-10-11T17:32:36Z 2008. Digital 517.95 T772 9783540767817 197799 http://dx.doi.org/10.1007/978-3-540-76781-7 http://dx.doi.org/10.1007/978-3-540-76781-7
institution Acervo SISBI
collection SIGAA
topic Equações diferenciais parciais.
Equações diferenciais.
Otimização matemática.
Matemática.
spellingShingle Equações diferenciais parciais.
Equações diferenciais.
Otimização matemática.
Matemática.
Ambrosio, Luigi.
Crippa, Gianluca.
Lellis, Camillo.
Otto, Felix.
Westdickenberg, Michael.
SpringerLink (Online service)
Transport Equations and Multi-D Hyperbolic Conservation Laws
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.
format Digital
author Ambrosio, Luigi.
Crippa, Gianluca.
Lellis, Camillo.
Otto, Felix.
Westdickenberg, Michael.
SpringerLink (Online service)
author_facet Ambrosio, Luigi.
Crippa, Gianluca.
Lellis, Camillo.
Otto, Felix.
Westdickenberg, Michael.
SpringerLink (Online service)
author_sort Ambrosio, Luigi.
title Transport Equations and Multi-D Hyperbolic Conservation Laws
title_short Transport Equations and Multi-D Hyperbolic Conservation Laws
title_full Transport Equations and Multi-D Hyperbolic Conservation Laws
title_fullStr Transport Equations and Multi-D Hyperbolic Conservation Laws
title_full_unstemmed Transport Equations and Multi-D Hyperbolic Conservation Laws
title_sort transport equations and multi-d hyperbolic conservation laws
publishDate 2022
url http://dx.doi.org/10.1007/978-3-540-76781-7
work_keys_str_mv AT ambrosioluigi transportequationsandmultidhyperbolicconservationlaws
AT crippagianluca transportequationsandmultidhyperbolicconservationlaws
AT lelliscamillo transportequationsandmultidhyperbolicconservationlaws
AT ottofelix transportequationsandmultidhyperbolicconservationlaws
AT westdickenbergmichael transportequationsandmultidhyperbolicconservationlaws
AT springerlinkonlineservice transportequationsandmultidhyperbolicconservationlaws
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