Effect of noise on front propagation in reaction-diffusion equations of KPP type

• 成果类型: Article
• 署名作者: Mueller, Carl; Mytnik, Leonid; Quastel, Jeremy
• 署名单位: University of Toronto; University of Rochester; Technion Israel Institute of Technology
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-010-0292-5
• 发表日期: 2011
• 页码: 405-453
• 关键词: traveling-waves; fluctuations; velocity

摘要

We consider reaction-diffusion equations of KPP type in one spatial dimension, perturbed by a Fisher-Wright white noise, under the assumption of uniqueness in distribution. Examples include the randomly perturbed Fisher-KPP equations