On Jeffreys model of heat conduction
Volume 28 / 2001
Applicationes Mathematicae 28 (2001), 329-351
MSC: 65N06, 65N12, 35A05, 35A15, 35M10.
DOI: 10.4064/am28-3-8
Abstract
The Jeffreys model of heat conduction is a system of two partial differential equations of mixed hyperbolic and parabolic character. The analysis of an initial-boundary value problem for this system is given. Existence and uniqueness of a weak solution of the problem under very weak regularity assumptions on the data is proved. A finite difference approximation of this problem is discussed as well. Stability and convergence of the discrete problem are proved.
