Initial boundary value problems for linear viscoelastic flows generated by integro-differential equations |
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Authors: | N. A. Karazeeva |
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Affiliation: | (1) St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg |
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Abstract: | An estimate of the velocity field is obtained for the equation of motion of incompressible media. With the help of this estimate, the integro-differential equations that describe the motion of linear viscoelastic fluids in the two-dimensional case are studied. The existence is proved for a weak, global in time, solution of the Cauchy problem and of the initial boundary value problem with periodic boundary conditions. Bibliography: 18 titles.Dedicated to Olga Aleksandrovna Ladyzhenskaya on the occasion of her jubilee__________Published in Zapiski Nauchnykh Seminarov POMI, Vol. 295, 2003, pp. 90–98. |
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