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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Opis bibliograficzny
Główni autorzy: Ambrosio, Luigi, 1963-...., mathématicien, Crippa, Gianluca, 1981-...., mathématicien (Autor), De Lellis, Camillo, 19..- (Autor), Otto, Felix, 1966-...., mathématicien (Autor), Westdickenberg, Michael, 1972-...., mathématicien (Autor)
Format: Livre numérique
Język:Anglais
Wydane: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Wydanie:1st ed. 2008.
Seria:Lecture Notes of the Unione Matematica Italiana 5
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Komentarz: L'impression du document génère 137 p.
Autres contributeurs : Felix Otto, Michael Westdickenberg (auteurs)
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Edition sous un autre format:• Transport equations and multi-d hyperbolic conservation laws, Luigi Ambrosio, Gianluca Crippa, Camillo De lellis ... [et al.], Berlin, Springer, 2008, 1 vol. (xiv-130 p.), Lecture notes of the Unione matematica italiana, 978-3-540-76780-0
• Transport Equations and Multi-D Hyperbolic Conservation Laws, Texte imprimé, 9783540845911
Opis
Streszczenie: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
Deskrypcja:L'impression du document génère 137 p.
Autres contributeurs : Felix Otto, Michael Westdickenberg (auteurs)
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Bibliografia:Notes bibliogr.
ISBN:9783540767817
ISSN:1862-9121
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