| 中文摘要 | 第6-8页 |
| Abstract | 第8-10页 |
| Chapter 1 Preface | 第11-15页 |
| Chapter 2 The Cauchy problem to the 3-D irrotational flows | 第15-45页 |
| 2.1 Introduction | 第15-20页 |
| 2.2 Global existence for small data in case 0≤λ≤1 | 第20-34页 |
| 2.3 Blowup for small data in caseλ>1 | 第34-45页 |
| Chapter 3 The Cauchy problem to the multi-dimensional compressible Euler equations | 第45-81页 |
| 3.1 Introduction | 第45-51页 |
| 3.2 Some Preliminaries | 第51-54页 |
| 3.3 Proof of Theorem 3.1.1 | 第54-62页 |
| 3.3.1 Estimates of velocity u and vorticity w | 第54-56页 |
| 3.3.2 Estimates of θ and its derivatives | 第56-60页 |
| 3.3.3 Proof of Theorem 3.1.1 | 第60-62页 |
| 3.4 Proof of Theorem 3.1.2 | 第62-69页 |
| 3.4.1 Estimates of velocity u and its derivatives | 第62-64页 |
| 3.4.2 Estimates of θ and its derivatives | 第64-69页 |
| 3.4.3 Proof of Theorem 3.1.2 | 第69页 |
| 3.5 Proof of Theorem 3.1.3 | 第69-81页 |
| Chapter 4 The initial-boundary value problem to the multi-dimensional compressible Euler equations in R_+~d | 第81-101页 |
| 4.1 Introduction | 第81-83页 |
| 4.2 Some Preliminaries | 第83-85页 |
| 4.3 Estimates of the temporal derivatives and tangential derivatives | 第85-93页 |
| 4.4 Proof of Theorem 4.1.1 | 第93-101页 |
| 4.4.1 Estimates of the normal derivatives | 第93-95页 |
| 4.4.2 Proof of Theorem 4.1.1 | 第95-101页 |
| Appendix A Proof on the lower bound of P(t,l) in (?) | 第101-105页 |
| Bibliography | 第105-111页 |
| 致谢 | 第111-113页 |
| 论文情况 | 第113-114页 |
