FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 4, PAGES 49-63

On the convergence of solutions of regularized problem for motion equations of Jeffreys viscoelastic medium to solutions of the original problem

D. A. Vorotnikov
V. G. Zvyagin

Abstract

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In this work, we consider initial-boundary-value problems for motion equations of viscoelastic medium with the Jeffreys constitutive law and for motion equations of the regularized Jeffreys model. We obtain a theorem on the convergence of weak solutions of initial-boundary-value problems for the regularized model to weak solutions of the original problem as the regularization parameter tends to zero.

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Last modified: November 25, 2005