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.
|Advisor:||Bellout, Hamid, Bloom, Frederick|
|Commitee:||Shvydkoy, Roman, Sirotkin, Gleb|
|School:||Northern Illinois University|
|School Location:||United States -- Illinois|
|Source:||DAI-B 72/03, Dissertation Abstracts International|
|Keywords:||Energy estimates, Existence, Pulsating combustion, Time dependent boundary|
Copyright in each Dissertation and Thesis is retained by the author. All Rights Reserved
dissertation or thesis. The supplemental files are provided "AS IS" without warranty. ProQuest is not responsible for the
content, format or impact on the supplemental file(s) on our system. in some cases, the file type may be unknown or
may be a .exe file. We recommend caution as you open such files.
supplemental files is subject to the ProQuest Terms and Conditions of use.