Symmetries of Partial Differential Equations: Conservation Laws — Applications — Algorithms
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1989
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| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 2 The authors of these issues involve not only mathematicians, but also speci alists in (mathematical) physics and computer sciences. So here the reader will find different points of view and approaches to the considered field. A. M. VINOGRADOV 3 Acta Applicandae Mathematicae 15: 3-21, 1989. © 1989 Kluwer Academic Publishers. Symmetries and Conservation Laws of Partial Differential Equations: Basic Notions and Results A. M. VINOORADOV Department of Mathematics, Moscow State University, 117234, Moscow, U. S. S. R. (Received: 22 August 1988) Abstract. The main notions and results which are necessary for finding higher symmetries and conservation laws for general systems of partial differential equations are given. These constitute the starting point for the subsequent papers of this volume. Some problems are also discussed. AMS subject classifications (1980). 35A30, 58005, 58035, 58H05. Key words. Higher symmetries, conservation laws, partial differential equations, infinitely prolonged equations, generating functions. o. Introduction In this paper we present the basic notions and results from the general theory of local symmetries and conservation laws of partial differential equations. More exactly, we will focus our attention on the main conceptual points as well as on the problem of how to find all higher symmetries and conservation laws for a given system of partial differential equations. Also, some general views and perspectives will be discussed |
| Beschreibung: | 1 Online-Ressource (VI, 456 p) |
| ISBN: | 9789400919488 9789401073707 |
| DOI: | 10.1007/978-94-009-1948-8 |
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| 500 | |a 2 The authors of these issues involve not only mathematicians, but also speci alists in (mathematical) physics and computer sciences. So here the reader will find different points of view and approaches to the considered field. A. M. VINOGRADOV 3 Acta Applicandae Mathematicae 15: 3-21, 1989. © 1989 Kluwer Academic Publishers. Symmetries and Conservation Laws of Partial Differential Equations: Basic Notions and Results A. M. VINOORADOV Department of Mathematics, Moscow State University, 117234, Moscow, U. S. S. R. (Received: 22 August 1988) Abstract. The main notions and results which are necessary for finding higher symmetries and conservation laws for general systems of partial differential equations are given. These constitute the starting point for the subsequent papers of this volume. Some problems are also discussed. AMS subject classifications (1980). 35A30, 58005, 58035, 58H05. Key words. Higher symmetries, conservation laws, partial differential equations, infinitely prolonged equations, generating functions. o. Introduction In this paper we present the basic notions and results from the general theory of local symmetries and conservation laws of partial differential equations. More exactly, we will focus our attention on the main conceptual points as well as on the problem of how to find all higher symmetries and conservation laws for a given system of partial differential equations. Also, some general views and perspectives will be discussed | ||
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| spelling | Vinogradov, A. M. Verfasser aut Symmetries of Partial Differential Equations Conservation Laws — Applications — Algorithms edited by A. M. Vinogradov Dordrecht Springer Netherlands 1989 1 Online-Ressource (VI, 456 p) txt rdacontent c rdamedia cr rdacarrier 2 The authors of these issues involve not only mathematicians, but also speci alists in (mathematical) physics and computer sciences. So here the reader will find different points of view and approaches to the considered field. A. M. VINOGRADOV 3 Acta Applicandae Mathematicae 15: 3-21, 1989. © 1989 Kluwer Academic Publishers. Symmetries and Conservation Laws of Partial Differential Equations: Basic Notions and Results A. M. VINOORADOV Department of Mathematics, Moscow State University, 117234, Moscow, U. S. S. R. (Received: 22 August 1988) Abstract. The main notions and results which are necessary for finding higher symmetries and conservation laws for general systems of partial differential equations are given. These constitute the starting point for the subsequent papers of this volume. Some problems are also discussed. AMS subject classifications (1980). 35A30, 58005, 58035, 58H05. Key words. Higher symmetries, conservation laws, partial differential equations, infinitely prolonged equations, generating functions. o. Introduction In this paper we present the basic notions and results from the general theory of local symmetries and conservation laws of partial differential equations. More exactly, we will focus our attention on the main conceptual points as well as on the problem of how to find all higher symmetries and conservation laws for a given system of partial differential equations. Also, some general views and perspectives will be discussed Mathematics Topological Groups Differential equations, partial Global differential geometry Partial Differential Equations Differential Geometry Theoretical, Mathematical and Computational Physics Topological Groups, Lie Groups Mathematik Symmetrie (DE-588)4058724-1 gnd rswk-swf Erhaltungssatz (DE-588)4131214-4 gnd rswk-swf System von partiellen Differentialgleichungen (DE-588)4116672-3 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content System von partiellen Differentialgleichungen (DE-588)4116672-3 s Symmetrie (DE-588)4058724-1 s Erhaltungssatz (DE-588)4131214-4 s 2\p DE-604 https://doi.org/10.1007/978-94-009-1948-8 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 | Vinogradov, A. M. Symmetries of Partial Differential Equations Conservation Laws — Applications — Algorithms Mathematics Topological Groups Differential equations, partial Global differential geometry Partial Differential Equations Differential Geometry Theoretical, Mathematical and Computational Physics Topological Groups, Lie Groups Mathematik Symmetrie (DE-588)4058724-1 gnd Erhaltungssatz (DE-588)4131214-4 gnd System von partiellen Differentialgleichungen (DE-588)4116672-3 gnd |
| subject_GND | (DE-588)4058724-1 (DE-588)4131214-4 (DE-588)4116672-3 (DE-588)4143413-4 |
| title | Symmetries of Partial Differential Equations Conservation Laws — Applications — Algorithms |
| title_auth | Symmetries of Partial Differential Equations Conservation Laws — Applications — Algorithms |
| title_exact_search | Symmetries of Partial Differential Equations Conservation Laws — Applications — Algorithms |
| title_full | Symmetries of Partial Differential Equations Conservation Laws — Applications — Algorithms edited by A. M. Vinogradov |
| title_fullStr | Symmetries of Partial Differential Equations Conservation Laws — Applications — Algorithms edited by A. M. Vinogradov |
| title_full_unstemmed | Symmetries of Partial Differential Equations Conservation Laws — Applications — Algorithms edited by A. M. Vinogradov |
| title_short | Symmetries of Partial Differential Equations |
| title_sort | symmetries of partial differential equations conservation laws applications algorithms |
| title_sub | Conservation Laws — Applications — Algorithms |
| topic | Mathematics Topological Groups Differential equations, partial Global differential geometry Partial Differential Equations Differential Geometry Theoretical, Mathematical and Computational Physics Topological Groups, Lie Groups Mathematik Symmetrie (DE-588)4058724-1 gnd Erhaltungssatz (DE-588)4131214-4 gnd System von partiellen Differentialgleichungen (DE-588)4116672-3 gnd |
| topic_facet | Mathematics Topological Groups Differential equations, partial Global differential geometry Partial Differential Equations Differential Geometry Theoretical, Mathematical and Computational Physics Topological Groups, Lie Groups Mathematik Symmetrie Erhaltungssatz System von partiellen Differentialgleichungen Aufsatzsammlung |
| url | https://doi.org/10.1007/978-94-009-1948-8 |
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