Creating materials in which heat propagates along a line: theory and numerical results

zbMATH Open1474.35362arXiv1512.09305MaRDI QIDQ5144137

Cong van, A. G. Ramm

Publication date: 14 January 2021

Abstract: In this paper the theory is developed for creating a material in which the heat is transmitted along a given line. This gives a possibility to transfer information using heat signals. This seems to be a novel idea. The technical part of the theory is the construction of the potential $q(x)$. This potential describes the heat equation $u_t=Deltau-q(x)u$ in the limiting medium which is obtained after the small impedance particles are distributed in a given domain. A numerical method is also established to construct numerically such a potential.

Full work available at URL: https://arxiv.org/abs/1512.09305

zbMATH Keywords

inverse problemsheat transfermaterialsnumerical mathematics

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30)

This page was built for publication: Creating materials in which heat propagates along a line: theory and numerical results

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q5144137)