Zvyagin, V. G.; Orlov, V. P. On weak solutions of the equations of motion of a viscoelastic medium with variable boundary. (English) Zbl 1220.76013 Bound. Value Probl. 2005, No. 3, 215-245 (2005). 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. Cited in 7 Documents 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 PDFBibTeX XMLCite \textit{V. G. Zvyagin} and \textit{V. P. Orlov}, Bound. Value Probl. 2005, No. 3, 215--245 (2005; Zbl 1220.76013) Full Text: DOI EuDML