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On Travelling Waves for the Stochastic Fisher–Kolmogorov–Petrovsky–Piscunov Equation
dc.contributor.authorConlon, Joseph G.en_US
dc.contributor.authorDoering, Charles R.en_US
dc.date.accessioned2006-09-11T15:42:41Z
dc.date.available2006-09-11T15:42:41Z
dc.date.issued2005-08en_US
dc.identifier.citationConlon, Joseph G.; Doering, Charles R.; (2005). "On Travelling Waves for the Stochastic Fisher–Kolmogorov–Petrovsky–Piscunov Equation." Journal of Statistical Physics 120 (3-4): 421-477. <http://hdl.handle.net/2027.42/45134>en_US
dc.identifier.issn0022-4715en_US
dc.identifier.issn1572-9613en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/45134
dc.description.abstractThis paper is concerned with properties of the wave speed for the stochastically perturbed Fisher–Kolmogorov–Petrovsky–Piscunov (FKPP) equation. It was shown in the classical 1937 paper by Kolmogorov, Petrovsky and Piscunov that the large time behavior of the solution to the FKPP equation with Heaviside initial data is a travelling wave. In a seminal 1995 paper Mueller and Sowers proved that this also holds for a stochastically perturbed FKPP equation. The wave speed depends on the strength σ of the noise. In this paper bounds on the asymptotic behavior of the wave speed c (σ) as σ→0 and σ→∞ are obtained.en_US
dc.format.extent413413 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherKluwer Academic Publishers-Plenum Publishers; Springer Science+Business Media, Inc.en_US
dc.subject.otherPhysicsen_US
dc.subject.otherContact Processen_US
dc.subject.otherQuantum Physicsen_US
dc.subject.otherPhysical Chemistryen_US
dc.subject.otherMathematical and Computational Physicsen_US
dc.subject.otherStatistical Physicsen_US
dc.subject.otherStochastic Pdeen_US
dc.subject.otherParticle Systemsen_US
dc.titleOn Travelling Waves for the Stochastic Fisher–Kolmogorov–Petrovsky–Piscunov Equationen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics and Michigan Center for Theoretical Physics, University of Michigan, Ann Arbor, MI, 48109-1109en_US
dc.contributor.affiliationumDepartment of Mathematics and Michigan Center for Theoretical Physics, University of Michigan, Ann Arbor, MI, 48109-1109en_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/45134/1/10955_2005_Article_5960.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/s10955-005-5960-2en_US
dc.identifier.sourceJournal of Statistical Physicsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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