Justification of a nonlinear Schrödinger model for polymers

dc.contributor.advisor	Pelinovsky, Dmitry	en_US
dc.contributor.author	Ponomarev, Dmitry	en_US
dc.contributor.department	Mathematics and Statistics	en_US
dc.date.accessioned	2014-06-18T16:58:08Z
dc.date.available	2014-06-18T16:58:08Z
dc.date.created	2012-05-11	en_US
dc.date.issued	2012-10	en_US
dc.description.abstract	<p>A model with nonlinear Schrödinger (NLS) equation used for describing pulse propagations in photopolymers is considered. We focus on a case in which change of refractive index is proportional to the square of amplitude of the electric field and consider 2-dimensional spatial domain. After formal derivation of the NLS approximation from the wave-Maxwell equation, we establish well-posedness and perform rigorous justification analysis to show smallness of error terms for appropriately small time intervals. We conclude by numerical simulation to illustrate the results in one-dimensional case.</p>	en_US
dc.description.degree	Master of Science (MSc)	en_US
dc.identifier.other	opendissertations/6981	en_US
dc.identifier.other	8018	en_US
dc.identifier.other	2843310	en_US
dc.identifier.uri	http://hdl.handle.net/11375/12064
dc.subject	justification analysis	en_US
dc.subject	photopolymers	en_US
dc.subject	NLS equation	en_US
dc.subject	wave-Maxwell system	en_US
dc.subject	Optics	en_US
dc.subject	Partial Differential Equations	en_US
dc.subject	Polymer Chemistry	en_US
dc.subject	Optics	en_US
dc.title	Justification of a nonlinear Schrödinger model for polymers	en_US
dc.type	thesis	en_US

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