4.5 Article

The logarithmic delay of KPP fronts in a periodic medium

期刊

出版社

EUROPEAN MATHEMATICAL SOC-EMS
DOI: 10.4171/JEMS/595

关键词

Reaction-diffusion equations; periodic media; pulsating traveling fronts; Cauchy problem; asymptotic behavior; logarithmic shift

资金

  1. NSF [DMS-1007572, DMS-0908507]
  2. French ANR [ANR-14-CE25-0013]
  3. European Research Council under the European Union's Seventh Framework Programme (FP) / ERC Grant Agreement [321186 - ReaDi]
  4. Investissements d'Avenir French Government program [ANR-11-IDEX-0001-02, ANR-11-LABX-0033]
  5. Division Of Mathematical Sciences
  6. Direct For Mathematical & Physical Scien [1311903] Funding Source: National Science Foundation

向作者/读者索取更多资源

We extend, to parabolic equations of the KPP type in periodic media, a result of Bramson which asserts that, in the case of a spatially homogeneous reaction rate, the time lag between the position of an initially compactly supported solution and that of a traveling wave grows logarithmically in time.

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