| Type of Document |
Dissertation |
| Author |
Daspan, Gideon Pyelshak
|
| Author's Email Address |
daspan2@math.lsu.edu |
| URN |
etd-06222007-194016 |
| Title |
Comparison of KP and BBM-KP Models |
| Degree |
Doctor of Philosophy (Ph.D.) |
| Department |
Mathematics |
| Advisory Committee |
| Advisor Name |
Title |
| Michael Mudi Tom |
Committee Chair |
| Augusto Nobile |
Committee Member |
| Frank Neubrander |
Committee Member |
| Jimmie Lawson |
Committee Member |
| Li-yeng Sung |
Committee Member |
| George Z. Voyiadjis |
Dean's Representative |
|
| Keywords |
- solitary waves
- fourier transform
- anisotropic sobolev inequalities
- gronwall's lemma
- kadomtsev-petviashvili
- korteweg de vries
|
| Date of Defense |
2007-04-18 |
| Availability |
unrestricted |
Abstract
In this dissertation we show that the solution of the pure initial-value problems for the KP and regularize KP equations are the same, to within the order of accuracy attributable to either, on the time scale from zero to epsilon to negative three halves power, during which nonlinear and dispersive effects may accumulate to make an order-one relative difference to the wave profiles.
|
| Files |
| Filename |
Size |
Approximate Download Time
(Hours:Minutes:Seconds)
|
| 28.8 Modem |
56K Modem |
ISDN (64 Kb) |
ISDN (128 Kb) |
Higher-speed Access |
| |
Daspan_dis.pdf |
437.38 Kb |
00:02:01 |
00:01:02 |
00:00:54 |
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