Magnetohydrodynamics: Waves and Shock Waves in Curved Space-Time:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1994
|
| Schriftenreihe: | Mathematical Physics Studies
14 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | For seventy years, we have known that Einstein's theory is essentially a theory of propagation of waves for the gravitational field. Confusion enters, however, through the fact that the word wave, in physics, implies sometimes repetition and sometimes not. This confusion is often increased by he use of Fourier transforms, by which a disturbanse which appears to be without repetition is resolved into periodic wave-trains with all frequencies. But, in a general curved space-time, we have nothing corresponding to Fourier transforms. Here, we consider systematically waves corresponding to the propagation of discontinuities of physical quantities describing either fields (essentially electromagnetic fields and gravitational field), or the motion of a fluid, or together, in magnetohydrodynamics, the changes in time of a field and of a fluid. The main equations, for the different studied phenomena, constitute a hyperbolic system and the study of a formal Cauchy problem is possible. We call ordinary waves the case in which the derivative of superior order appearing in the system are discontinuous at the traverse of a hypersurface, the wave front ; we call shock waves the case where the derivatives of an order inferior by one are discontinuous at the traverse of a wave front. XI xii PREFACE From 1950, many well-known scientits (Taub, Synge, Choquet-B ruhat, etc.) have studied the corresponding equations for different physical phenomena : systems associated to the electromagnetic and gravitational fields, to hydrodynamics and to magnetohydrodynamics |
| Beschreibung: | 1 Online-Ressource (XII, 280 p) |
| ISBN: | 9789401721264 9789048143900 |
| DOI: | 10.1007/978-94-017-2126-4 |
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Datensatz im Suchindex
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| isbn | 9789401721264 9789048143900 |
| language | English |
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| spelling | Lichnerowicz, André Verfasser aut Magnetohydrodynamics: Waves and Shock Waves in Curved Space-Time by André Lichnerowicz Dordrecht Springer Netherlands 1994 1 Online-Ressource (XII, 280 p) txt rdacontent c rdamedia cr rdacarrier Mathematical Physics Studies 14 For seventy years, we have known that Einstein's theory is essentially a theory of propagation of waves for the gravitational field. Confusion enters, however, through the fact that the word wave, in physics, implies sometimes repetition and sometimes not. This confusion is often increased by he use of Fourier transforms, by which a disturbanse which appears to be without repetition is resolved into periodic wave-trains with all frequencies. But, in a general curved space-time, we have nothing corresponding to Fourier transforms. Here, we consider systematically waves corresponding to the propagation of discontinuities of physical quantities describing either fields (essentially electromagnetic fields and gravitational field), or the motion of a fluid, or together, in magnetohydrodynamics, the changes in time of a field and of a fluid. The main equations, for the different studied phenomena, constitute a hyperbolic system and the study of a formal Cauchy problem is possible. We call ordinary waves the case in which the derivative of superior order appearing in the system are discontinuous at the traverse of a hypersurface, the wave front ; we call shock waves the case where the derivatives of an order inferior by one are discontinuous at the traverse of a wave front. XI xii PREFACE From 1950, many well-known scientits (Taub, Synge, Choquet-B ruhat, etc.) have studied the corresponding equations for different physical phenomena : systems associated to the electromagnetic and gravitational fields, to hydrodynamics and to magnetohydrodynamics Physics Differential equations, partial Theoretical, Mathematical and Computational Physics Astrophysics and Astroparticles Partial Differential Equations Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd rswk-swf Magnetohydrodynamik (DE-588)4130803-7 gnd rswk-swf Magnetohydrodynamik (DE-588)4130803-7 s Allgemeine Relativitätstheorie (DE-588)4112491-1 s 1\p DE-604 https://doi.org/10.1007/978-94-017-2126-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lichnerowicz, André Magnetohydrodynamics: Waves and Shock Waves in Curved Space-Time Physics Differential equations, partial Theoretical, Mathematical and Computational Physics Astrophysics and Astroparticles Partial Differential Equations Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd Magnetohydrodynamik (DE-588)4130803-7 gnd |
| subject_GND | (DE-588)4112491-1 (DE-588)4130803-7 |
| title | Magnetohydrodynamics: Waves and Shock Waves in Curved Space-Time |
| title_auth | Magnetohydrodynamics: Waves and Shock Waves in Curved Space-Time |
| title_exact_search | Magnetohydrodynamics: Waves and Shock Waves in Curved Space-Time |
| title_full | Magnetohydrodynamics: Waves and Shock Waves in Curved Space-Time by André Lichnerowicz |
| title_fullStr | Magnetohydrodynamics: Waves and Shock Waves in Curved Space-Time by André Lichnerowicz |
| title_full_unstemmed | Magnetohydrodynamics: Waves and Shock Waves in Curved Space-Time by André Lichnerowicz |
| title_short | Magnetohydrodynamics: Waves and Shock Waves in Curved Space-Time |
| title_sort | magnetohydrodynamics waves and shock waves in curved space time |
| topic | Physics Differential equations, partial Theoretical, Mathematical and Computational Physics Astrophysics and Astroparticles Partial Differential Equations Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd Magnetohydrodynamik (DE-588)4130803-7 gnd |
| topic_facet | Physics Differential equations, partial Theoretical, Mathematical and Computational Physics Astrophysics and Astroparticles Partial Differential Equations Allgemeine Relativitätstheorie Magnetohydrodynamik |
| url | https://doi.org/10.1007/978-94-017-2126-4 |
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