Initial boundary value problems for linear viscoelastic flows generated by integrodifferential equations
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 33, Tome 295 (2003), pp. 90-98
N. A. Karazeeva. Initial boundary value problems for linear viscoelastic flows generated by integrodifferential equations. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 33, Tome 295 (2003), pp. 90-98. http://geodesic.mathdoc.fr/item/ZNSL_2003_295_a3/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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 twodimensional 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.

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