This article is cited in 4 papers

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

Voronezh State University

Abstract: 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.

UDC: 517.9

 English version: Journal of Mathematical Sciences (New York), 2007, 144:5, 4398–4408

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