Geodesic
On the solvability of a nonstationary problem describing the dynamics of an incompressible viscoelastic fluid
Matematičeskie zametki, Tome 63 (1998) no. 3, pp. 442-450

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We study the local solvability of the Cauchy–Dirichlet problem for the system \begin{gather*} (1-\varkappa\nabla ^2)\mathbf v_t=\nu\nabla^2\mathbf v-(\mathbf v\cdot\nabla)\mathbf v-\nabla p+\mathbf f(t), \\ 0=-\nabla(\nabla\cdot\mathbf v), \end{gather*} which describes the dynamics of an incompressible viscoelastic Kelvin–Voigt fluid. The configuration space of the problem is described. 
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     author = {G. A. Sviridyuk and T. G. Sukacheva},
     title = {On the solvability of a nonstationary problem describing the dynamics of an incompressible viscoelastic fluid},
     journal = {Matemati\v{c}eskie zametki},
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     publisher = {mathdoc},
     volume = {63},
     number = {3},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_63_3_a15/}
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G. A. Sviridyuk; T. G. Sukacheva. On the solvability of a nonstationary problem describing the dynamics of an incompressible viscoelastic fluid. Matematičeskie zametki, Tome 63 (1998) no. 3, pp. 442-450. http://geodesic.mathdoc.fr/item/MZM_1998_63_3_a15/