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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| Autors principals: | , , , , |
|---|---|
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edició: | 1st ed. 2008. |
| Col·lecció: | Lecture Notes of the Unione Matematica Italiana
5 |
| Matèries: | |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
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) |
| Autres localisations: | Voir dans le Sudoc |
| 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 |
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| 041 | 0 | |a eng | |
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| 084 | |a 35L45. 2010 | ||
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| 100 | 1 | |a Ambrosio, Luigi, |d 1963-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Transport Equations and Multi-D Hyperbolic Conservation Laws |c Luigi Ambrosio, Gianluca Crippa, Camillo Lellis,... [et al.]. |
| 250 | |a 1st ed. 2008. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture Notes of the Unione Matematica Italiana |v 5 |x 1862-9121 | |
| 500 | |a L'impression du document génère 137 p. | ||
| 500 | |a Autres contributeurs : Felix Otto, Michael Westdickenberg (auteurs) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Notes bibliogr. | ||
| 505 | 0 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 650 | |a Systèmes hyperboliques | ||
| 650 | |a Lois de conservation (mathématiques) | ||
| 700 | 1 | |a Crippa, Gianluca, |d 1981-...., |c mathématicien. |4 aut | |
| 700 | 1 | |a De Lellis, Camillo, |d 19..- |4 aut | |
| 700 | 1 | |a Otto, Felix, |d 1966-...., |c mathématicien. |4 aut | |
| 700 | 1 | |a Westdickenberg, Michael, |d 1972-...., |c mathématicien. |4 aut | |
| 776 | 0 | |0 130286265 |t Transport equations and multi-d hyperbolic conservation laws |f Luigi Ambrosio, Gianluca Crippa, Camillo De lellis ... [et al.] |c Berlin |n Springer |d 2008 |p 1 vol. (xiv-130 p.) |s Lecture notes of the Unione matematica italiana |z 978-3-540-76780-0 | |
| 776 | 0 | |t Transport Equations and Multi-D Hyperbolic Conservation Laws |b Texte imprimé |z 9783540845911 | |
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