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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
21/2005

Large Convection Limits for KPP Fronts

Steffen Heinze

Abstract

This paper is concerned with the KPP equation with strong convection. The asymptotic behavior of the minimal speed of traveling fronts is derived for shear flow convection and for cellular flow convection. In the first case a new limit problem is derived and analyzed. For cellular flows new almost optimal upper bounds are obtained in terms of the wave speed of the homogenized problem. Thereby some conjectures on the asymptotic growth of front speeds are confirmed.

Received:
Mar 15, 2005
Published:
Mar 15, 2005
Keywords:
reaction diffusion, convection, fronts

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Preprint
2005 Repository Open Access
Steffen Heinze

Large Convection Limits for KPP Fronts