| Type of Document |
Dissertation |
| Author |
Huang, Guowei
|
| URN |
etd-10242005-124128 |
| Title |
Asymptotic properties of solutions of a KdV-Burgers equation with localized dissipation |
| Degree |
PhD |
| Department |
Mathematics |
| Advisory Committee |
| Advisor Name |
Title |
| Russell, David L. |
Committee Chair |
| Kim, Jong Uhn |
Committee Member |
| Lin, Tao |
Committee Member |
| Renardy, Michael J. |
Committee Member |
| Rogers, Robert C. |
Committee Member |
|
| Keywords |
- Korteweg-de Vries equation
- Burgers equation
|
| Date of Defense |
1994-12-05 |
| Availability |
restricted |
Abstract
We study the Korteweg-de Vries-Burgers equation.
With a deep investigation into the spectral and smoothing properties of the linearized
system, it is shown by applying Banach Contraction Principle and Gronwall's Inequality
to the integral equation based on the variation of parameters formula and explicit representation
of the operator semigroup associated with the linearized equation that, under
appropriate assumption appropriate assumption on initial states w(x, 0), the nonlinear system is well-posed and its
solutions decay exponentially to the mean value of the initial state in H1(O, 1) as t -> +∞.
|
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| Filename |
Size |
Approximate Download Time
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|
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56K Modem |
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ISDN (128 Kb) |
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LD5655.V856_1994.H8357.pdf |
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00:04:24 |
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