Explicit formulas for homogenization limits in certain non‐periodic problems including ramified domains

DOI10.1002/zamm.201500207MaRDI QIDQ6065057

Simon Eberle

Publication date: 11 December 2023

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

zbMATH Keywords

homogenizationfractal boundaryramified domains

Mathematics Subject Classification ID

Existence theories in calculus of variations and optimal control (49Jxx) Elliptic equations and elliptic systems (35Jxx) Qualitative properties of solutions to partial differential equations (35Bxx)

Cites Work

• Homogenization of the Poisson equation with Dirichlet conditions in random perforated domains
• The general theory of homogenization. A personalized introduction
• Asymptotic behaviour and correctors for linear Dirichlet problems with simultaneously varying operators and domains
• Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes. I: Abstract framework, a volume distribution of holes
• Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes. II: Non-critical sizes of the holes for a volume distribution and a surface distribution of holes
• Diffusion and propagation problems in some ramified domains with a fractal boundary
• Asymptotic Behavior of Nonlinear Elliptic Systems on Varying Domains
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