| 書目名稱 | Magnetohydrodynamics: Waves and Shock Waves in Curved Space-Time | | 編輯 | André Lichnerowicz | | 視頻video | http://file.papertrans.cn/622/621443/621443.mp4 | | 叢書名稱 | Mathematical Physics Studies | | 圖書封面 |  | | 描述 | 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 der | | 出版日期 | Book 1994 | | 關鍵詞 | astrophysics; dynamics; electromagnetic field; electromagnetic wave; fields; gravitation; gravity; hydrodyn | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-017-2126-4 | | isbn_softcover | 978-90-481-4390-0 | | isbn_ebook | 978-94-017-2126-4Series ISSN 0921-3767 Series E-ISSN 2352-3905 | | issn_series | 0921-3767 | | copyright | Springer Science+Business Media B.V. 1994 |
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