Title page for ETD etd-06222007-194016

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
  • solitary waves
  • fourier transform
  • anisotropic sobolev inequalities
  • gronwall's lemma
  • kadomtsev-petviashvili
  • korteweg de vries
Date of Defense 2007-04-18
Availability unrestricted
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.
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