Dissertation/Thesis Abstract

Existence and uniqueness theorems for a one-dimensional model of pulsating combustion
by Terlyga, Olga, Ph.D., Northern Illinois University, 2010, 140; 3439634
Abstract (Summary)

This dissertation formulates a one-dimensional model for pulse combustion and addresses the problem of existence of a unique solution for the resulting mixed hyperbolic-parabolic initial-boundary value problem. There have been no known attempts to mathematically analyze models associated with pulse combustion that take into account spatial dependence; in particular, the existence and uniqueness of solutions of the relevant initial-boundary value problems associated with such models has not been addressed. Moreover, the initial-boundary value problems associated with pulse combustion modeling differ from the majority of the gas-dynamics related initial boundary-value problems in the literature; they are often defined on a bounded domain and lead to situations involving time-dependent boundary conditions. These considerations are not unique to pulse combustor modeling; analogous initial-boundary value problems arise in many other physical applications. Therefore the mathematical analysis presented in this thesis may be of some significance for other physical problems as well.

Indexing (document details)
Advisor: Bellout, Hamid, Bloom, Frederick
Commitee: Shvydkoy, Roman, Sirotkin, Gleb
School: Northern Illinois University
Department: Mathematical Sciences
School Location: United States -- Illinois
Source: DAI-B 72/03, Dissertation Abstracts International
Subjects: Mathematics
Keywords: Energy estimates, Existence, Pulsating combustion, Time dependent boundary
Publication Number: 3439634
ISBN: 978-1-124-44893-0
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