| 中文摘要 | 第6-8页 |
| Abstract | 第8-9页 |
| Chapter 1 Preface | 第10-25页 |
| 1.1 The compressible viscous flow in a 3-D expanded ball | 第10-16页 |
| 1.2 The compressible viscous flow in partial Space-Periodic Domains | 第16-19页 |
| 1.3 The compressible flow in the domain between two coaxial cylinders10 | 第19-25页 |
| Chapter 2 On the global smooth solution to the 3-D compressible Navier-Stokes equation in an infinitely expanded ball 16 | 第25-75页 |
| 2.1 Introduction and main results | 第25-31页 |
| 2.2 Local existence of the solution to (2.1.1)-(2.1.2) with (2.1.3) | 第31-40页 |
| 2.3 Some uniform weighted energy estimates for the problem (2.1.1)-(2.1.3) 31 | 第40-56页 |
| 2.4 The uniform global energy estimates for the problem (2.1.1)-(2.1.3).47 | 第56-72页 |
| 2.5 The proof of Theorem 2.1.1 | 第72-75页 |
| Chapter 3 Large time asymptotic behavior of the compressible Navier-Stokes Equations in partial Space-Periodic Domains 66 | 第75-106页 |
| 3.1 Introduction and main results | 第75-80页 |
| 3.2 Some analysis on the homogeneous linearized problem of (3.1.3) | 第80-82页 |
| 3.3 The global existence of the solution to the auxiliary problem (3.1.7) | 第82-92页 |
| 3.4 Some decay properties of the solution u(t, z) to (3.1.3) for z∈T×R~2 | 第92-98页 |
| 3.5 Large-time behavior of the solution to (3.1.7) and the proof of Theorem 3.1.1 | 第98-102页 |
| 3.6 The proofs of Theorem 3.1.2 and Theorem 3.1.3 | 第102-106页 |
| Chapter 4 Stability and Large time behavior of the compressible flow in the domain between two coaxial cylinders 97 | 第106-133页 |
| 4.1 Introduction and main results | 第106-111页 |
| 4.2 The resolvent problem and the estimates of the lower frequency part | 第111-124页 |
| 4.3 The proof of Theorem 4.1.1 | 第124-131页 |
| 4.4 The proof of Theorem 4.1.3 | 第131-133页 |
| Bibliography | 第133-138页 |
| 致谢 | 第138-140页 |
| 论文情况 | 第140-141页 |
