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