文摘
英文文摘
第一章Preface
第二章Preliminaries
2.1 Weighted norms
2.2 Boundary value problems of first order elliptic equations with constant coefficients
2.2.1 A boundary value problem of Laplacian in a sector with a discontinuous line inside
2.2.2 Boundary value problems of first order elliptic equations with constant coefficients in a sector with a discontinuous line inside
2.3 Boundary value problems of first order elliptic equations with typical coefficients
第三章 Stability of Reflection and Refraction of Shocks on Inter face
3.1 Introduction
3.2 Flat Reflection and Refraction
3.3 Mathematical Formulation of Perturbed Problem
3.4 Reduction of Free Boundary Value Problem
3.4.1 Lagrange Transformation
3.4.2 Fixed Boundary Value Problem (NL)
3.5 Decoupling and Linearization
3.5.1 Decoupling
3.5.2 Linearization
3.5.3 Existence and estimate of solution to the whole linearized problem
3.6 Solution to problem (NL)
3.7 Proof of the main theorem
第四章Stability of Transonic Shocks in Supersonic Flow past a Cone
4.1 Introduction
4.2 The background solution
4.3 Mathematical formulation of stability problem
4.4 Proof of the main result
4.4.1 Linearized problem
4.4.2 Iteration scheme
参考文献
致谢
简历
发表文章目录