| Type of Document |
Dissertation |
| Author |
Fang, Liqun
|
| Author's Email Address |
liqun_fang@yahoo.com |
| URN |
etd-11112009-200229 |
| Title |
Stochastic Navier-Stokes Equations with Fractional Brownian Motions |
| Degree |
Doctor of Philosophy (Ph.D.) |
| Department |
Mathematics |
| Advisory Committee |
| Advisor Name |
Title |
| Sundar, Padmanabhan |
Committee Chair |
| Cochran, George W. |
Committee Member |
| Kuo, Hui-Hsiung |
Committee Member |
| Lawson, Jimmie |
Committee Member |
| Perlis, Robert |
Committee Member |
| Frank, Juhan |
Dean's Representative |
|
| Keywords |
- stochastic integration
- bounded
- boundary condition
- mild solution
- stochastic process
- Hodge-Leray projection
- martingale
- weak convergence
|
| Date of Defense |
2009-07-28 |
| Availability |
unrestricted |
Abstract
The aim of this dissertation is to study stochastic Navier-Stokes equations with a fractional Brownian motion noise. The second chapter will introduce the background results on fractional Brownian motions and some of their properties. The third chapter will focus on the Stokes operator and the semigroup generated by this operator. The Navier-Stokes equations and the evolution equation setup will be described in the next chapter. The main goal is to prove the existence and uniqueness of solutions for the stochastic Navier-Stokes equations with a fractional Brownian motion noise under suitable conditions. The proof is given with full details for two separate cases based on the value of the Hurst parameter H: 1/2 < 1 and 1/8 < 1/2.
|
| Files |
| Filename |
Size |
Approximate Download Time
(Hours:Minutes:Seconds)
|
| 28.8 Modem |
56K Modem |
ISDN (64 Kb) |
ISDN (128 Kb) |
Higher-speed Access |
| |
Fang-diss.pdf |
322.90 Kb |
00:01:29 |
00:00:46 |
00:00:40 |
00:00:20 |
00:00:01 |
|
