书目名称 | Hyperbolic Conservation Laws in Continuum Physics |
编辑 | Constantine M. Dafermos |
视频video | http://file.papertrans.cn/431/430587/430587.mp4 |
概述 | The author is unquestionably the greatest authority on the subject as well as a masterly writer.The book will immediately find a following as both an introduction to the field and a reference for rese |
丛书名称 | Grundlehren der mathematischen Wissenschaften |
图书封面 |  |
描述 | The seeds of Continuum Physics were planted with the works of the natural philosophers of the eighteenth century, most notably Euler; by the mid-nineteenth century, the trees were fully grown and ready to yield fruit. It was in this envi ronment that the study of gas dynamics gave birth to the theory of quasilinear hyperbolic systems in divergence form, commonly called "hyperbolic conserva tion laws"; and these two subjects have been traveling hand-in-hand over the past one hundred and fifty years. This book aims at presenting the theory of hyper bolic conservation laws from the standpoint of its genetic relation to Continuum Physics. Even though research is still marching at a brisk pace, both fields have attained by now the degree of maturity that would warrant the writing of such an exposition. In the realm of Continuum Physics, material bodies are realized as continuous media, and so-called "extensive quantities", such as mass, momentum and energy, are monitored through the fields of their densities, which are related by balance laws and constitutive equations. A self-contained, though skeletal, introduction to this branch of classical physics is presented in Chapter II. The |
出版日期 | Book 20001st edition |
关键词 | Boundary value problem; Entropy; hyperbolic conservation laws; partial differential equation; partial di |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-662-22019-1 |
isbn_ebook | 978-3-662-22019-1Series ISSN 0072-7830 Series E-ISSN 2196-9701 |
issn_series | 0072-7830 |
copyright | Springer-Verlag Berlin Heidelberg 2000 |