Advances in the Theory of Shock Waves:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2001
|
| Schriftenreihe: | Progress in Nonlinear Differential Equations and Their Applications
47 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | In the field known as "the mathematical theory of shock waves," very exciting and unexpected developments have occurred in the last few years. Joel Smoller and Blake Temple have established classes of shock wave solutions to the Einstein Euler equations of general relativity; indeed, the mathematical and physical con sequences of these examples constitute a whole new area of research. The stability theory of "viscous" shock waves has received a new, geometric perspective due to the work of Kevin Zumbrun and collaborators, which offers a spectral approach to systems. Due to the intersection of point and essential spectrum, such an ap proach had for a long time seemed out of reach. The stability problem for "in viscid" shock waves has been given a novel, clear and concise treatment by Guy Metivier and coworkers through the use of paradifferential calculus. The L 1 semi group theory for systems of conservation laws, itself still a recent development, has been considerably condensed by the introduction of new distance functionals through Tai-Ping Liu and collaborators; these functionals compare solutions to different data by direct reference to their wave structure. The fundamental prop erties of systems with relaxation have found a systematic description through the papers of Wen-An Yong; for shock waves, this means a first general theorem on the existence of corresponding profiles. The five articles of this book reflect the above developments |
| Beschreibung: | 1 Online-Ressource (VIII, 520 p) |
| ISBN: | 9781461201939 9781461266556 |
| DOI: | 10.1007/978-1-4612-0193-9 |
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| 490 | 0 | |a Progress in Nonlinear Differential Equations and Their Applications |v 47 | |
| 500 | |a In the field known as "the mathematical theory of shock waves," very exciting and unexpected developments have occurred in the last few years. Joel Smoller and Blake Temple have established classes of shock wave solutions to the Einstein Euler equations of general relativity; indeed, the mathematical and physical con sequences of these examples constitute a whole new area of research. The stability theory of "viscous" shock waves has received a new, geometric perspective due to the work of Kevin Zumbrun and collaborators, which offers a spectral approach to systems. Due to the intersection of point and essential spectrum, such an ap proach had for a long time seemed out of reach. The stability problem for "in viscid" shock waves has been given a novel, clear and concise treatment by Guy Metivier and coworkers through the use of paradifferential calculus. The L 1 semi group theory for systems of conservation laws, itself still a recent development, has been considerably condensed by the introduction of new distance functionals through Tai-Ping Liu and collaborators; these functionals compare solutions to different data by direct reference to their wave structure. The fundamental prop erties of systems with relaxation have found a systematic description through the papers of Wen-An Yong; for shock waves, this means a first general theorem on the existence of corresponding profiles. The five articles of this book reflect the above developments | ||
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Datensatz im Suchindex
| _version_ | 1804153090144731136 |
|---|---|
| any_adam_object | |
| author | Liu, Tai-Ping |
| author_facet | Liu, Tai-Ping |
| author_role | aut |
| author_sort | Liu, Tai-Ping |
| author_variant | t p l tpl |
| building | Verbundindex |
| bvnumber | BV042419475 |
| classification_tum | MAT 000 |
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| ctrlnum | (OCoLC)1184277695 (DE-599)BVBBV042419475 |
| dewey-full | 515.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.353 |
| dewey-search | 515.353 |
| dewey-sort | 3515.353 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-0193-9 |
| format | Electronic eBook |
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| spelling | Liu, Tai-Ping Verfasser aut Advances in the Theory of Shock Waves by Tai-Ping Liu, Guy Métivier, Joel Smoller, Blake Temple, Wen-An Yong, Kevin Zumbrun ; edited by Heinrich Freistühler, Anders Szepessy Boston, MA Birkhäuser Boston 2001 1 Online-Ressource (VIII, 520 p) txt rdacontent c rdamedia cr rdacarrier Progress in Nonlinear Differential Equations and Their Applications 47 In the field known as "the mathematical theory of shock waves," very exciting and unexpected developments have occurred in the last few years. Joel Smoller and Blake Temple have established classes of shock wave solutions to the Einstein Euler equations of general relativity; indeed, the mathematical and physical con sequences of these examples constitute a whole new area of research. The stability theory of "viscous" shock waves has received a new, geometric perspective due to the work of Kevin Zumbrun and collaborators, which offers a spectral approach to systems. Due to the intersection of point and essential spectrum, such an ap proach had for a long time seemed out of reach. The stability problem for "in viscid" shock waves has been given a novel, clear and concise treatment by Guy Metivier and coworkers through the use of paradifferential calculus. The L 1 semi group theory for systems of conservation laws, itself still a recent development, has been considerably condensed by the introduction of new distance functionals through Tai-Ping Liu and collaborators; these functionals compare solutions to different data by direct reference to their wave structure. The fundamental prop erties of systems with relaxation have found a systematic description through the papers of Wen-An Yong; for shock waves, this means a first general theorem on the existence of corresponding profiles. The five articles of this book reflect the above developments Mathematics Differential equations, partial Mathematical physics Partial Differential Equations Applications of Mathematics Mathematical Methods in Physics Classical and Quantum Gravitation, Relativity Theory Mathematik Mathematische Physik Stoßwelle (DE-588)4057760-0 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content Stoßwelle (DE-588)4057760-0 s 2\p DE-604 Métivier, Guy Sonstige oth Smoller, Joel Sonstige oth Temple, Blake Sonstige oth Yong, Wen-An Sonstige oth Zumbrun, Kevin Sonstige oth Freistühler, Heinrich Sonstige oth Szepessy, Anders Sonstige oth https://doi.org/10.1007/978-1-4612-0193-9 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Liu, Tai-Ping Advances in the Theory of Shock Waves Mathematics Differential equations, partial Mathematical physics Partial Differential Equations Applications of Mathematics Mathematical Methods in Physics Classical and Quantum Gravitation, Relativity Theory Mathematik Mathematische Physik Stoßwelle (DE-588)4057760-0 gnd |
| subject_GND | (DE-588)4057760-0 (DE-588)4143413-4 |
| title | Advances in the Theory of Shock Waves |
| title_auth | Advances in the Theory of Shock Waves |
| title_exact_search | Advances in the Theory of Shock Waves |
| title_full | Advances in the Theory of Shock Waves by Tai-Ping Liu, Guy Métivier, Joel Smoller, Blake Temple, Wen-An Yong, Kevin Zumbrun ; edited by Heinrich Freistühler, Anders Szepessy |
| title_fullStr | Advances in the Theory of Shock Waves by Tai-Ping Liu, Guy Métivier, Joel Smoller, Blake Temple, Wen-An Yong, Kevin Zumbrun ; edited by Heinrich Freistühler, Anders Szepessy |
| title_full_unstemmed | Advances in the Theory of Shock Waves by Tai-Ping Liu, Guy Métivier, Joel Smoller, Blake Temple, Wen-An Yong, Kevin Zumbrun ; edited by Heinrich Freistühler, Anders Szepessy |
| title_short | Advances in the Theory of Shock Waves |
| title_sort | advances in the theory of shock waves |
| topic | Mathematics Differential equations, partial Mathematical physics Partial Differential Equations Applications of Mathematics Mathematical Methods in Physics Classical and Quantum Gravitation, Relativity Theory Mathematik Mathematische Physik Stoßwelle (DE-588)4057760-0 gnd |
| topic_facet | Mathematics Differential equations, partial Mathematical physics Partial Differential Equations Applications of Mathematics Mathematical Methods in Physics Classical and Quantum Gravitation, Relativity Theory Mathematik Mathematische Physik Stoßwelle Aufsatzsammlung |
| url | https://doi.org/10.1007/978-1-4612-0193-9 |
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