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Traveling fronts in a reactive Bouss...

Winn, Brandy.

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

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Traveling fronts in a reactive Boussinesq system: Bounds and stability./
作者:	Winn, Brandy.
面頁冊數:	114 p.
附註:	Source: Dissertation Abstracts International, Volume: 66-03, Section: B, page: 1506.
Contained By:	Dissertation Abstracts International66-03B.
標題:	Mathematics. -
電子資源:	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.
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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.
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650 4 $a Mathematics. $3 515831
650 4 $a Applied Mechanics. $3 1018410
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710 2 0 $a The University of Chicago. $3 1017389
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