| 中文摘要 | 第6-9页 |
| Abstract | 第9-11页 |
| Chapter 1 Preface | 第13-15页 |
| Chapter 2 On the blowup of classical solutions to the 3-D pressure-gradient systems | 第15-41页 |
| 2.1 Introduction and main result | 第15-18页 |
| 2.2 The lower bound of lifespan T_ε | 第18-30页 |
| 2.3 The upper bound of lifespan T_ε and the proof of Theorem 2.1.1 | 第30-41页 |
| Chapter 3 Blowup of classical solutions for a class of 3-D quasilinear wave equations with small initial data | 第41-69页 |
| 3.1 Introduction and main results | 第41-46页 |
| 3.2 The lower bound of lifespan T_ε | 第46-56页 |
| 3.3 The upper bound of lifespan T_ε and the proof of Theorem 3.1.1 | 第56-69页 |
| Chapter 4 Blowup of smooth solutions for general 2-D quasilinear wave equations with small initial data | 第69-105页 |
| 4.1 The lower bound of lifespan T_ε | 第74-88页 |
| 4.2 Proof of Theorem 4.0.10 | 第88-102页 |
| 4.3 Proof of Theorem 4.0.4 | 第102-105页 |
| Chapter 5 The global smooth symmetric solution to 2-D full com-pressible Euler system of Chaplygin gases | 第105-143页 |
| 5.1 Introduction | 第105-108页 |
| 5.2 The construction of approximate solution to(5.1.2)-(5.1.4)and some preliminaries | 第108-118页 |
| 5.3 Analysis on(θ,w,z)near light cone and establishment of a crucial energy estimate | 第118-126页 |
| 5.4 Global energy estimates and proof of Theorem 5.1.1 | 第126-143页 |
| Bibliography | 第143-151页 |
| Acknowledgements | 第151-153页 |
| 论文情况 | 第153-154页 |
