| 书目名称 | Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables | | 编辑 | A. Majda | | 视频video | http://file.papertrans.cn/232/231986/231986.mp4 | | 丛书名称 | Applied Mathematical Sciences | | 图书封面 |  | | 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 | | 关键词 | Erhaltungssatz; Gasdynamik; Kompressible Strömung; 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 |
The information of publication is updating
|
|
|Archiver|手机版|小黑屋|
派博传思国际
( 京公网安备110108008328)
GMT+8, 2025-8-10 21:02
发表于 2025-3-21 19:16:04
