基本信息
- 原书名：Hyberbolic Conservation Laws in Continuum Physics
- 原出版社： Springer
- 作者： Constantine M. Dafermos
- 丛书名： 天元基金影印系列丛书
- 出版社：清华大学出版社
- ISBN：7302102031
- 上架时间：2006-3-29
- 出版日期：2005 年1月
- 开本：16开
- 页码：443
- 版次：1-1
- 所属分类：物理 > 总论 > 综合
内容简介
书籍
物理书籍
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 environment that the study of gas dynamics gave birth to the theory of quasilinear hyperbolic systems in divergence form, commonly called “hyperbolic conservation laws”; and these two subject have been traveling hand-in-hand over the past one hundred and fifty years. this book aims at presenting the theory of hyperbolic 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. ...
物理书籍
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 environment that the study of gas dynamics gave birth to the theory of quasilinear hyperbolic systems in divergence form, commonly called “hyperbolic conservation laws”; and these two subject have been traveling hand-in-hand over the past one hundred and fifty years. this book aims at presenting the theory of hyperbolic 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. ...
目录
Chapter Ⅰ Balance Laws.
1.1 Formulation of the Balance Law
1.2 Reduction to Field Equations
1.3 Change of Coordinates
1.4 Systems of Balance Laws
1.5 Companion Systems of Balance Laws
1.6 Weak and Shock Fronts
1.7 Survey of the Theory of BV Functions
1.8 BV Solutions of Systems of Balance Laws
1.9 Rapid Oscillations and the Stabilizing Effect of Companion Balance Laws
1.10 Notes
Chapter Ⅱ Introduction to Continuum Physics
2.1 Bodies and Motions
2.2 Balance Laws in Continuum Physics
2.3 The Balance Laws of Continuum Thermomechanics
2.4 Material Frame Indifference
2.5 Thermoelasticity
2.6 Thermoviscoelasticity
2.7 Notes
Chapter Ⅲ Hyperbolic Systems of Balance Laws
1.1 Formulation of the Balance Law
1.2 Reduction to Field Equations
1.3 Change of Coordinates
1.4 Systems of Balance Laws
1.5 Companion Systems of Balance Laws
1.6 Weak and Shock Fronts
1.7 Survey of the Theory of BV Functions
1.8 BV Solutions of Systems of Balance Laws
1.9 Rapid Oscillations and the Stabilizing Effect of Companion Balance Laws
1.10 Notes
Chapter Ⅱ Introduction to Continuum Physics
2.1 Bodies and Motions
2.2 Balance Laws in Continuum Physics
2.3 The Balance Laws of Continuum Thermomechanics
2.4 Material Frame Indifference
2.5 Thermoelasticity
2.6 Thermoviscoelasticity
2.7 Notes
Chapter Ⅲ Hyperbolic Systems of Balance Laws
