A Bogovskii-operator for domains coupled by thin porous layers and application to homogenization of Stokes models

Gahn M, Neuss-Radu M (2027)

Publication Type: Journal article

Publication year: 2027

Journal

Applied Mathematics Letters Elsevier

Book Volume: 184

Article Number: 110112

DOI: 10.1016/j.aml.2026.110112

Abstract

We construct a Bogovskii-operator for a heterogeneous domain consisting of two bulk regions separated by a thin perforated layer with thickness and periodicity of order ɛ. In particular, we consider various types of boundary conditions at the outer boundary of the domain and determine the explicit dependence of the operator’s norm on ɛ. Finally, we apply this result to establish uniform a priori bounds for the pressure and then derive the effective problem for the corresponding microscopic Stokes model.

Authors with CRIS profile

Maria Neuß Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)

Involved external institutions

Universität Augsburg DE Germany (DE)

How to cite

APA:

Gahn, M., & Neuss-Radu, M. (2027). A Bogovskii-operator for domains coupled by thin porous layers and application to homogenization of Stokes models. Applied Mathematics Letters, 184. https://doi.org/10.1016/j.aml.2026.110112

MLA:

Gahn, Markus, and Maria Neuss-Radu. "A Bogovskii-operator for domains coupled by thin porous layers and application to homogenization of Stokes models." Applied Mathematics Letters 184 (2027).

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