Scholarlink

Abstract <p> We obtain an asymptotic approximation to a moving inner layer (front) solution ofan initial–boundary value problem for a singularly perturbed parabolicreaction–diffusion–advection equation with a KPZ-nonlinearity. An asymptotic approximation forthe velocity of the front is found. To prove the existence and uniqueness of a solution, theasymptotic method of differential inequalities is used.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Front Motion in a Reaction–Diffusion–Advection Problem with a KPZ-Nonlinearity

  • 期刊论文

  • 发表日期：

    2025年1月1日

查看全文
  • A. O. Orlov

摘要

Abstract

We obtain an asymptotic approximation to a moving inner layer (front) solution ofan initial–boundary value problem for a singularly perturbed parabolicreaction–diffusion–advection equation with a KPZ-nonlinearity. An asymptotic approximation forthe velocity of the front is found. To prove the existence and uniqueness of a solution, theasymptotic method of differential inequalities is used.