Work

Vanishing interfaces in an asymmetric fast reaction limit

Year: 2026

Type: article

Abstract: We study the fast reaction limit for a two-component reaction-diffusion system with asymmetric reaction terms, where only one component diffuses. For nonnegative and mutually segregated initial data, we prove that the initial interface vanishes instantaneously. More precisely, the diffusive component converges uniformly to the solution of the heat equation, while the non-diffusive component vanishes away from the initial time. The proof is based on explicit barriers and a comparison argument, and applies under both Dirichlet and Neumann boundary conditions.

Source: Nonlinear Differential Equations and Applications NoDEA

DOI: 10.1007/s00030-026-01288-y

Author: Yuki Tsukamoto

Institution: Tokyo University of Science

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: Japan Society for the Promotion of Science