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A singular perturbation approach to ...

Danielli, Donatella.

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A singular perturbation approach to a two-phase parabolic free boundary problem arising in flame propagation.

Record Type:	Electronic resources : Monograph/item
Title/Author:	A singular perturbation approach to a two-phase parabolic free boundary problem arising in flame propagation./
Author:	Danielli, Donatella.
Description:	65 p.
Notes:	Source: Dissertation Abstracts International, Volume: 60-11, Section: B, page: 5553.
Contained By:	Dissertation Abstracts International60-11B.
Subject:	Mathematics. -
Online resource:	http://wwwlib.umi.com/dissertations/fullcit/9951939
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9951939
ISBN:	0599537566

A singular perturbation approach to a two-phase parabolic free boundary problem arising in flame propagation.
Danielli, Donatella.

A singular perturbation approach to a two-phase parabolic free boundary problem arising in flame propagation. - 65 p.

Source: Dissertation Abstracts International, Volume: 60-11, Section: B, page: 5553.

Thesis (Ph.D.)--Purdue University, 1999.

In recent times there has been a resurgence of research in the study of the regularity of two phase free boundary problems, especially in the difficult parabolic case. These problems are often approximated by regularizing ones. To obtain information about the solution to the original problem one tries to establish results for the approximating ones which carry over in the limit. In this work I will discuss the uniform properties of the a two phase parabolic singular perturbation problem. In particular, my main objective is to show that, under suitable assumptions, it is an approximation for a free boundary problem that naturally arises in combustion theory in the analysis of the propagation of curved flames in non-homogeneous media, specifically in the description of laminar flames as an asymptotic limit for high activation energy.

ISBN: 0599537566Subjects--Topical Terms:

515831
Mathematics.

A singular perturbation approach to a two-phase parabolic free boundary problem arising in flame propagation.
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100 1 $a Danielli, Donatella. $3 1953773
245 1 2 $a A singular perturbation approach to a two-phase parabolic free boundary problem arising in flame propagation.
300 $a 65 p.
500 $a Source: Dissertation Abstracts International, Volume: 60-11, Section: B, page: 5553.
500 $a Major Professor: Carlos E. Kenig.
502 $a Thesis (Ph.D.)--Purdue University, 1999.
520 $a In recent times there has been a resurgence of research in the study of the regularity of two phase free boundary problems, especially in the difficult parabolic case. These problems are often approximated by regularizing ones. To obtain information about the solution to the original problem one tries to establish results for the approximating ones which carry over in the limit. In this work I will discuss the uniform properties of the a two phase parabolic singular perturbation problem. In particular, my main objective is to show that, under suitable assumptions, it is an approximation for a free boundary problem that naturally arises in combustion theory in the analysis of the propagation of curved flames in non-homogeneous media, specifically in the description of laminar flames as an asymptotic limit for high activation energy.
590 $a School code: 0183.
650 4 $a Mathematics. $3 515831
650 4 $a Engineering, Aerospace. $3 1018395
650 4 $a Applied Mechanics. $3 1018410
690 $a 0405
690 $a 0538
690 $a 0346
710 2 0 $a Purdue University. $3 1017663
773 0 $t Dissertation Abstracts International $g 60-11B.
790 1 0 $a Kenig, Carlos E., $e advisor
790 $a 0183
791 $a Ph.D.
792 $a 1999
856 $u http://wwwlib.umi.com/dissertations/fullcit/9951939
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9951939