Error estimates of effective boundary conditions for the heat equation with optimally aligned coatings

• Published in: Journal of mathematical analysis and applications Vol. 543; no. 1; p. 128972
• Main Authors: Meng, Lixin, Zhou, Zhitong
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.03.2025
• Subjects: Effective boundary conditions; Eigenvalue; Error estimates; Heat equation; Optimally aligned coatings; Eigenvalue; Error estimates; Heat equation; Effective boundary conditions; Optimally aligned coatings

We are interested in the validity of effective boundary conditions for a heat equation on a coated body as the thickness of the coating shrinks to zero. The coating is optimally aligned in the sense that the normal vector in the coating is an eigenvector of the thermal tensor. If the heat equation s...