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Titlebook: Hyperbolic Conservation Laws in Continuum Physics; Constantine M. Dafermos Book 20001st edition Springer-Verlag Berlin Heidelberg 2000 Bou

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樓主
發(fā)表于 2025-3-21 16:22:24 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Hyperbolic Conservation Laws in Continuum Physics
編輯Constantine M. Dafermos
視頻videohttp://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
叢書名稱Grundlehren der mathematischen Wissenschaften
圖書封面Titlebook: Hyperbolic Conservation Laws in Continuum Physics;  Constantine M. Dafermos Book 20001st edition Springer-Verlag Berlin Heidelberg 2000 Bou
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
關鍵詞Boundary value problem; Entropy; hyperbolic conservation laws; partial differential equation; partial di
版次1
doihttps://doi.org/10.1007/978-3-662-22019-1
isbn_ebook978-3-662-22019-1Series ISSN 0072-7830 Series E-ISSN 2196-9701
issn_series 0072-7830
copyrightSpringer-Verlag Berlin Heidelberg 2000
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沙發(fā)
發(fā)表于 2025-3-21 23:02:22 | 只看該作者
Entropy and the Stability of Classical Solutions,n the exposition of the theory of hyperbolic systems of balance laws in this book will be that companion balance laws induce stability under various guises. The reader will get here a glimpse of the implications of entropy inequalities on the stability of classical solutions.
板凳
發(fā)表于 2025-3-22 02:16:13 | 只看該作者
Genuinely Nonlinear Scalar Conservation Laws,nlinear scalar conservation laws is that the extremal backward generalized characteristics are essentially classical characteristics, that is straight lines along which the solution is constant. This property induces such a heavy constrain that one is able to derive very precise information on regularity and large time behavior of solutions.
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Genuinely Nonlinear Systems of Two Conservation Laws,e of coordinate systems of Riemann invariants and the induced rich family of entropy-entropy flux pairs. The principal tools in the investigation will be generalized characteristics and entropy estimates.
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發(fā)表于 2025-3-22 18:39:12 | 只看該作者
0072-7830 s both an introduction to the field and a reference for reseThe 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- r
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發(fā)表于 2025-3-22 21:35:33 | 只看該作者
Generalized Characteristics,tics, emanating from any point in the domain of an admissible solution, always propagate with classical characteristic speed. The implications of these properties to the theory of weak solutions will be demonstrated in following chapters.
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