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2015
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We study one an ε-approximation for the initial-boundary value problem with free surface condition for the heat convection for Kelvin-Voight fluids in bounded domain Ω ⊂ Rm, m = 2,3 with a smooth boundary. The theorems of existence and uniqueness of smooth solutions of ε– regularization initial value problem in Sobolev spaces are proved. The estimate for rate of convergence of solution for ε → 0 is obtained.