東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Traveling fronts in a reactive Bouss...

Winn, Brandy.

Linked to FindBook

Google Book

Amazon

博客來

Traveling fronts in a reactive Boussinesq system: Bounds and stability.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Traveling fronts in a reactive Boussinesq system: Bounds and stability./
Author:	Winn, Brandy.
Description:	114 p.
Notes:	Source: Dissertation Abstracts International, Volume: 66-03, Section: B, page: 1506.
Contained By:	Dissertation Abstracts International66-03B.
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3168414
ISBN:	0542045028

Traveling fronts in a reactive Boussinesq system: Bounds and stability.
Winn, Brandy.

Traveling fronts in a reactive Boussinesq system: Bounds and stability. - 114 p.

Source: Dissertation Abstracts International, Volume: 66-03, Section: B, page: 1506.

Thesis (Ph.D.)--The University of Chicago, 2005.

This work considers a simplified model of active combustion in a fluid flow, with the reaction influencing the flow. The model consists of a reaction-diffusion-advection equation coupled with an incompressible Navier-Stokes system under the Boussinesq approximation in an infinite vertical strip. We prove that for certain ignition nonlinearities, including all that are C2, and for any domain width, planar traveling front solutions are nonlinearly and exponentially stable within certain weighted H 2 spaces, provided that the Rayleigh number rho is small enough. The same result holds for bistable nonlinearities in unweighted H 2 spaces. We also obtain uniform bounds on the Nusselt number, the bulk burning rate, and the average maximum vertical velocity for chemistries that include bistable and ignition nonlinearities.

ISBN: 0542045028Subjects--Topical Terms:

515831
Mathematics.

Traveling fronts in a reactive Boussinesq system: Bounds and stability.
LDR:01711nmm 2200277 4500 001 1815881
005 20060717150500.5
008 130610s2005 eng d
020 $a 0542045028
035 $a (UnM)AAI3168414
035 $a AAI3168414
040 $a UnM $c UnM
100 1 $a Winn, Brandy. $3 1905286
245 1 0 $a Traveling fronts in a reactive Boussinesq system: Bounds and stability.
300 $a 114 p.
500 $a Source: Dissertation Abstracts International, Volume: 66-03, Section: B, page: 1506.
500 $a Adviser: Peter Constantin.
502 $a Thesis (Ph.D.)--The University of Chicago, 2005.
520 $a This work considers a simplified model of active combustion in a fluid flow, with the reaction influencing the flow. The model consists of a reaction-diffusion-advection equation coupled with an incompressible Navier-Stokes system under the Boussinesq approximation in an infinite vertical strip. We prove that for certain ignition nonlinearities, including all that are C2, and for any domain width, planar traveling front solutions are nonlinearly and exponentially stable within certain weighted H 2 spaces, provided that the Rayleigh number rho is small enough. The same result holds for bistable nonlinearities in unweighted H 2 spaces. We also obtain uniform bounds on the Nusselt number, the bulk burning rate, and the average maximum vertical velocity for chemistries that include bistable and ignition nonlinearities.
590 $a School code: 0330.
650 4 $a Mathematics. $3 515831
650 4 $a Applied Mechanics. $3 1018410
690 $a 0405
690 $a 0346
710 2 0 $a The University of Chicago. $3 1017389
773 0 $t Dissertation Abstracts International $g 66-03B.
790 1 0 $a Constantin, Peter, $e advisor
790 $a 0330
791 $a Ph.D.
792 $a 2005
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3168414