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Research Article Open access CC BY 3.0

About One Problem for the MAC Model for the Heat Conduction Equation

Olga Danilkina, Igor Neygebauer, Geminipeter Augustino Lyakurwa

Journal of Advances in Mathematics and Computer Science · pp. 2853–2861 · Published 26 Jul 2014

10.9734/BJMCS/2014/11716

Abstract

The aim of this work is to study a class of problems for continuum models in mechanics. We construct the MAC model for the parabolic equation which could include the physical solution appying Newton’s law of cooling. A notion of a generalized solution is introduced. We apply Galerkin method to prove the existence of a generalized solution. The proof of uniqueness of a generalized solution is based on the obtained energy inequality.

Parabolic equations MAC model apriori estimate loaded equations.

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