Accession Number : ADA257256


Title :   Dispersive Regularization of Shocks


Descriptive Note : Final rept. 1 Jun 1991-31 May 1992


Corporate Author : DUKE UNIV DURHAM NC DEPT OF MATHEMATICS


Personal Author(s) : Venakides, Stephanie


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a257256.pdf


Report Date : 25 Aug 1992


Pagination or Media Count : 9


Abstract : In completed research: (a) We have tested, with positive results, the Ansatz that is used in the higher order Lax-Levermore theory developed by us (with T. Zhang). (b) We have shown the stability of solitary pulses through a semiconduction in the Gunn effect (with L.L. Bonilla). In on-going research: (a) we have established strong results (analytically and numerically) in the semifinite Toda chain with time-dependent (periodic) forcing. Our work here goes beyond integrable theory (with P. Deift and T. Kricherbauer). (b) We have observed numerically that certain spectra in nonintegrable cases remain fixed in some averaged sense (with M. McDonald). (c) We have made some progress in the longstanding problem of the initial-boundary value problem for the KdV equation (with A. Fokas). Dispersive shocks, Particle chain, Gunn effect.


Descriptors :   *SEMICONDUCTORS , *SHOCK , BOUNDARY VALUE PROBLEMS , CHAINS , EIGENVALUES , GALLIUM ARSENIDES , GUNN EFFECT , MICROWAVES , PARTICLES , PHASE SHIFT , PULSES , SOLITONS , SPECTRA , STABILITY , VOLTAGE


Subject Categories : Electrical and Electronic Equipment
      Electricity and Magnetism


Distribution Statement : APPROVED FOR PUBLIC RELEASE