Asymptotic Analysis of the One-Dimensional Diffusion-Absorption Equation with Rapidly and Strongly Oscillating Absorption Coefficient

DOI10.1137/100817802zbMath1254.34076OpenAlexW2001919552MaRDI QIDQ2902751

Gregory P. Panasenko, A. E. El'bert

Publication date: 22 August 2012

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/100817802

zbMATH Keywords

asymptotic expansionhomogenizationHelmholtz equationboundary value porblemlarge periodic potential

Mathematics Subject Classification ID

Applications of boundary value problems involving ordinary differential equations (34B60) Parameter dependent boundary value problems for ordinary differential equations (34B08) Asymptotic expansions of solutions to ordinary differential equations (34E05) Multiple scale methods for ordinary differential equations (34E13)

Related Items (2)

Homogenization of the diffusion equation with a singular potential for a model of a biological cell network ⋮ Asymptotic analysis of the diffusion-absorption equation with fast and strongly oscillating absorbtion coefficient in the two-dimensional case

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