ICIAM07 Minisymposia – 04 Partial Differential Equations (linear and non-linear)

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Variational principle and reaction-diffusion front speeds in random flows

  1. James Nolen1,
  2. Jack Xin2

Article first published online: 12 DEC 2008

DOI: 10.1002/pamm.200701042

Issue

PAMM

PAMM

Special Issue: Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting, Zürich 2007

Volume 7, Issue 1, pages 1040701–1040702, December 2007

Additional Information

How to Cite

Nolen, J. and Xin, J. (2007), Variational principle and reaction-diffusion front speeds in random flows. PAMM, 7: 1040701–1040702. doi: 10.1002/pamm.200701042

Author Information

  1. 1

    Department of Mathematics, Stanford University, Stanford, CA 94305, USA

  2. 2

    Department of Mathematics, University of California at Irvine, Irvine, CA 92697, USA

Publication History

  1. Issue published online: 12 DEC 2008
  2. Article first published online: 12 DEC 2008

Funded by

  • NSF Postdoctoral Research Fellowship. Grant Numbers: SCREMS-0322962, ITR-0219004, DMS-0549215

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Abstract

We summarize recent advances of analyzing Kolmogorov-Petrovsky-Piskunov (KPP) fronts in random compressible and incompressible flows. In particular, a long standing open problem of the existence and characterization of the so called turbulent flame speed is resolved for KPP fronts in space-time random incompressible flows under certain regularity and moment conditions on the flow fields. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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