| 書目名稱 | Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables | | 編輯 | A. Majda | | 視頻video | http://file.papertrans.cn/232/231986/231986.mp4 | | 叢書名稱 | Applied Mathematical Sciences | | 圖書封面 |  | | 描述 | Conservation laws arise from the modeling of physical processes through the following three steps: 1) The appropriate physical balance laws are derived for m-phy- t cal quantities, ul""‘~ with u = (ul‘ ... ,u ) and u(x,t) defined m for x = (xl""‘~) E RN (N = 1,2, or 3), t > 0 and with the values m u(x,t) lying in an open subset, G, of R , the state space. The state space G arises because physical quantities such as the density or total energy should always be positive; thus the values of u are often con- strained to an open set G. 2) The flux functions appearing in these balance laws are idealized through prescribed nonlinear functions, F.(u), mapping G into J j = 1, ..? ,N while source terms are defined by S(u,x,t) with S a given smooth function of these arguments with values in Rm. In parti- lar, the detailed microscopic effects of diffusion and dissipation are ignored. 3) A generalized version of the principle of virtual work is applied (see Antman [1]). The formal result of applying the three steps (1)-(3) is that the m physical quantities u define a weak solution of an m x m system of conservation laws, o I + N(Wt‘u + r W ·F.(u) + W·S(u,x,t))dxdt (1.1) R xR j=l Xj J for all W | | 出版日期 | Book 1984 | | 關(guān)鍵詞 | Erhaltungssatz; Gasdynamik; Kompressible Str?mung; Stosswelle; Systems; flow | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-1116-7 | | isbn_softcover | 978-0-387-96037-1 | | isbn_ebook | 978-1-4612-1116-7Series ISSN 0066-5452 Series E-ISSN 2196-968X | | issn_series | 0066-5452 | | copyright | Springer Science+Business Media New York 1984 |
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