The heat equation with the dynamic boundary condition as a singular limit of problems degenerating at the boundary

DOI10.3233/asy-231862zbMath1528.35197arXiv2212.11241OpenAlexW4386634399MaRDI QIDQ6071968

Piotr Rybka, Yoshikazu Giga, Michał Łasica

Publication date: 29 November 2023

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.11241

zbMATH Keywords

boundary layer\(\Gamma\)-convergencedynamic boundary conditionsconvergence of gradient flowsReilly identity

Mathematics Subject Classification ID

Heat equation (35K05) Weak solutions to PDEs (35D30) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Strong solutions to PDEs (35D35)

Cites Work

• Passing from bulk to bulk-surface evolution in the Allen-Cahn equation
• Gamma-convergence of gradient flows on Hilbert and metric spaces and applications
• Variational convergence of nonlinear diffusion equations: Applications to concentrated capacity problems with change of phase
• Gamma-convergence of gradient flows with applications to Ginzburg-Landau
• Mathematical model of heat transfer through a conductive pipe
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