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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor Corporativo: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin ; London :
Springer,
2008.
|
| Colección: | Lecture notes of the Unione Matematica Italiana ;
5. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 245 | 0 | 0 | |a Transport equations and multi-d hyperbolic conservation laws / |c Luigi Ambrosio [and others]. |
| 260 | |a Berlin ; |a London : |b Springer, |c 2008. | ||
| 300 | |a 1 online resource (xiv, 130 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a Lecture notes of the Unione matematica italiana, |x 1862-9113 ; |v 5 | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Preface -- Part I by L. Ambrosio and G. Crippa: Existence, uniqueness, stability and differentiability properties of the flow associated to weakly differentiable vector fields -- Part II by C. De Lellis: A note on Alberti's rank-one theorem -- Part III by G. Crippa, F. Otto and M. Westdickenberg: Regularizing effect of nonlinearity in multidimensional scalar conservation laws -- Index. | |
| 520 | 8 | |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. | |
| 546 | |a English. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Conservation laws (Mathematics) | |
| 650 | 6 | |a Lois de conservation (Mathématiques) | |
| 650 | 0 | 7 | |a Conservation laws (Mathematics) |2 cct |
| 650 | 7 | |a Conservation laws (Mathematics) |2 fast | |
| 700 | 1 | |a Ambrosio, Luigi. | |
| 700 | 1 | |a Ancona, Fabio, |d 1964- |1 https://id.oclc.org/worldcat/entity/E39PCjDfmYWQ6dDVjThGbWVRGb | |
| 710 | 2 | |a Unione matematica italiana. | |
| 758 | |i has work: |a Transport equations and multi-d hyperbolic conservation laws (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGHdfkhvxWwh7DDCTpxygq |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |t Transport equations and multi-d hyperbolic conservation laws. |d Berlin ; London : Springer, 2008 |z 9783540767800 |z 3540767800 |w (OCoLC)182664253 |
| 830 | 0 | |a Lecture notes of the Unione Matematica Italiana ; |v 5. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=336743 |z Texto completo |
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