On Jeffreys model of heat conduction

• Autorzy: Maksymilian Dryja , Krzysztof Moszyński
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35M10: Equations of mixed type
• 35A15: Variational methods
• 65N06: Finite difference methods
• 65N12: Stability and convergence of numerical methods

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2001
• Tom: 28
• Numer: 3
• Strony: 329-351

Daty

wydano

2001

Twórcy

autor

Maksymilian Dryja

• Department of Mathematics, Computer Science and Mechanics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

autor

Krzysztof Moszyński

• Department of Mathematics, Computer Science and Mechanics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/am28-3-8