同类推荐
-
-
流体力学
-
¥59.00
-
-
智能流场计算方法
-
¥99.00
-
-
流体力学
-
¥39.00
-
-
渗流力学
-
¥128.00
-
-
流体力学
-
¥78.00
-
-
高等流体力学
-
¥39.80
-
-
流体力学:2023年版
-
¥51.00
-
-
计算流体力学2035愿景
-
¥158.00
-
-
气体纯化和检测技术
-
¥168.00
-
-
实验流体力学:::
-
¥130.00
|
|
图书信息
|
|
|
Mathematical analysis of shock wave reflection
|
ISBN: | 9787547851296 |
定价: | ¥248.00 |
作者: | Chen Shuxing[著] |
出版社: | 上海科学技术出版社 |
出版时间: | 2020年11月 |
开本: | 24cm |
页数: | 11,251页 |
装祯: | 精装 |
中图法: | O354.5 |
相关供货商
供货商名称
|
库存量
|
库区
|
更新日期
|
|
|
|
|
其它供货商库存合计
|
1
|
|
2024-03-28
|
图书简介 | 陈恕行教授是国内外知名的微分方程学家,2013年被选为中国科学院院士。近20年来,作者在物理和力学的激波领域做了很多工作。偏微分方程与物理学和力学的关系之密切众所周知。陈教授长期不懈的工作之一,即是应用数学方法深入分析空气动力学中激波的运动规律,这一方向不仅是国际数学前沿,而且有很多问题尚未得到解决。本书的工作不仅体现了作者本人在这方面的研究成果,而且罗列了一些未解决的问题,对学习、了解这一领域的读者,起到了一个非常合适的指导作用。 |
目录 | 1 Introduction 1.1 Physical Background of Shock Reflection 1.2 Equations and Boundary Conditionr/> 1.2.1 Euler System and Its Simplified Modelr/> 1.2.2 Shock, Rankine-Hugoniot Conditionr/> 1.2.3 Entropy Condition 1.2.4 Boundary Conditionr/> 1.3 Reflection of Planar Shock 1.3.1 Normal Reflection of Planar Shock 1.3.2 Oblique Reflection of Planar Shock Referencer/>2 Shock Polar Analysir/> 2.1 Shock Polar for Euler Equation 2.1.1 Shock Polar on (u, v) Plane 2.1.2 Shock Polar on (O,p) Plane 2.2 Shock Polar for Potential Flow Equation 2.2.1 Shock Polar on (u,v) Plane 2.2.2 Shock Polar on (q, 0) Plane 2.3 Reflection of Planar Shock and Mach Configuration 2.3.1 Regular Reflection of Planar Shock 2.3.2 Mach Configuration Referencer/>3 Perturbation of Regular Shock Reflection 3.1 Regular Reflection Containing Supersonic Shock in Two-Dimensional Space 3.1.1 Boundary Value Problems in Angular Domain 3.1.2 Results on Free Boundary Problems with Characteristic Boundary 3.1.3 Local Existence of Solution to the Problem for Shock Reflection of Isentropic Irrotational Flow 3.1.4 Local Existence of Solution to the Problem for Shock Reflection of Non-isenlxopic Flow 3.2 Regular Reflection Containing Supersonic Shock in Three-Dimensional Space 3.2.1 Preparation 3.2.2 Linearized Problem and Related a Priori Estimater/> 3.2.3 Construction of the First Approximate Solution to Nonlinear Problem 3.2.4 Newton's Iteration and Existence of Genuine Solution to Nonlinear Problem 3.3 Regular Reflection Containing Transonic Shock Referencer/>4 Stability of Maeh Configuration 4.1 Reduction and Classification of Mach Configuration 4.1.1 E-E Type and E-H Type Mach Configuration 4.1.2 System and Boundary Conditionr/> 4.2 Lagrange Transformation and Canonical Form of Nonlinear System 4.2.1 Lagrange Transformation for Stationary Flow 4.2.2 Treatment of Shock Boundary 4.2.3 Decomposition of System 4.3 Estimates of Linearized Problem Derived from E-E Type Mach Configuration 4.3.1 Linearized Problem 4.3.2 Elliptic Sub-problem 4.3.3 Sobolev Estimate 4.3.4 H61der Estimate 4.4 Convergence of Iterative Process and Stability of E-E Type Mach Configuration 4.4.1 Iterative Process of Solving Nonlinear Problem (NL) 4.4.2 Convergence of Iterative Scheme 4.4.3 Existence of Free Boundary Value Problem 4.5 Stability of E-H Type Mach Configuration 4.5.1 Problem and Conclusion 4.5.2 Nonlinear Lavrentiev-Bitsadze Mixed Type Equation 4.5.3 Linearization 4.5.4 Solution to Generalized Tricomi Problem of Linear Lavrentiev-Bitsadze Equation 4.5.5 Conclusion on Nonlinear Problem Referencer/>5 Shock Reflection in Unsteady Flow 5.1 Shock Reflection by a Smooth Surface 5.1.1 Formulation 5.1.2 Reduce to a Goursat Problem with Fixed Boundary 5.1.3 Solution to Nonlinear Boundary Value Problem 5.2 Regular Reflection of Planar Shock by a Ramp 5.2.1 Formulation 5.2.2 Determine Flow Field in Pseudo-Supersonic Region 5.2.3 Nonlinear Degenerate Elliptic Boundary Value Problem 5.2.4 Elliptic Transaction 5.2.5 Nonlinear Iterative Scheme 5.2.6 Elliptic Regnlarization 5.2.7 Existence of Solution to Nonlinear Degenerate Elliptic Boundary Value Problem 5.3 Mach Reflection of Plane Shock by a Ramp 5.3.1 Formulation 5.3.2 Perturbation of Flat Mach Configuration 5.3.3 Main Steps of Proof Referencer/>6 Further Considerations and Open Problemr/> 6.1 Shock Reflection by a Ramp for Non-isentropic Flow 6.2 Shock Reflection in Three-Dimensional Space 6.2.1 Reflection of a Planar Shock by a Curved Ramp 6.2.2 Reflection of Planar Shock by a Cone 6.2.3 Stability of Mach Configuration in Three-Dimensional Space 6.3 Big Perturbation and Global Solutionr/> 6.3.1 Problems on Big Perturbation 6.3.2 Global Solutionr/> 6.4 Further Discussions on Irregular Shock Reflection 6.4.1 Transition of Different Configurationr/> 6.4.2 Other Modes of Irregular Reflection 6.5 Shock Reflection and Refraction on Interface of Two Media Referencer/>Appendix A: Estimates for Elliptic Equations in Curvilinear Polygon Index
|
|