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We consider a one-dimensional non-Fickian diffusion equation and show how either a homogeneous Dirichlet boundary condition or a homogeneous Neumann boundary condition appears along the boundary of an inner domain when the diffusivity in the outer domain tends to zero.

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Diffusion laws and reaction term determine boundary conditions

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  • 发表日期：

    2026年

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  • Danielle Hilhorst,
  • Seungmin Kang,
  • Ho-Youn Kim,
  • Yong-Jung Kim

摘要

We consider a one-dimensional non-Fickian diffusion equation and show how either a homogeneous Dirichlet boundary condition or a homogeneous Neumann boundary condition appears along the boundary of an inner domain when the diffusivity in the outer domain tends to zero.