Study of the boundary conditions describing the contact with a well-stirred fluid

Article type: Research Article

Authors: Berrone, Lucio R. | Mannucci, Paola^;

Affiliations: Instituto de Matematica “Beppo Levi”, Universidad Nacional de Rosario, Avenida Pellegrini 250, 2000-Rosario, Argentina. Fax: +54 41 810505; E-mail: berrone@unrctu.edu.ar | Dipartimento di Matematica “U. Dini”, Università degli Studi di Firenze, Viale Morgagni 67/a, 50134 Firenze, Italy. Tel.: +39 55 4237111; Fax: +39 55 4222695; E-mail: mannuc@udini.math.unifi.it

Note: [] Corresponding author.

Abstract: We study the asymptotic behaviour of the diffraction problem in the one-dimensional case when the conductivity of one of the two media goes to infinity. By means of heat potentials and Laplace transforms we deduce that the temperature of the good conductor (well-stirred fluid) is spatially constant and we find the related contact conditions between the two media involving time derivatives.

DOI: 10.3233/ASY-1997-14402

Journal: Asymptotic Analysis, vol. 14, no. 4, pp. 323-337, 1997