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On weak solutions of the equations of motion of a viscoelastic medium with variable boundary. (English) Zbl 1220.76013

Summary: The regularized system of equations for one model of a viscoelastic medium with memory along trajectories of the field of velocities is under consideration. The case of a changing domain is studied. We investigate the weak solvability of an initial boundary value problem for this system.

MSC:

76A10 Viscoelastic fluids
35D30 Weak solutions to PDEs
35Q74 PDEs in connection with mechanics of deformable solids
35R35 Free boundary problems for PDEs
74D10 Nonlinear constitutive equations for materials with memory
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