11 research outputs found
Solvability of initial boundary value problems for equations describing motions of linear viscoelastic fluids
No full textThe nonlinear parabolic equations describing motion of incompressible media are investigated. The rheological equations of most general type are considered. The deviator of the stress tensor is expressed as a nonlinear continuous positive definite operator applied to the rate of strain tensor. The global-in-time estimate of solution of initial boundary value problem is obtained. This estimate is valid for systems of equations of any non-Newtonian fluid. Solvability of initial boundary value problems for such equations is proved under some additional hypothesis. The application of this theory makes it possible to prove the existence of global-in-time solutions of two-dimensional initial boundary value problems for generalized linear viscoelastic liquids, that is, for liquids with linear integral rheological equation, and for third-grade liquids
Asymptotic Behavior and Attractor of Systems Governing Two-Dimensional Viscoelastic Flows
No full textSolvability in the large on (0, ?) of the fundamental initial-boundary value problem for the two-dimensional equations of the motion of Oldroyd fluids
No full text
Nonlocal problems for one class of nonlinear operator equations that arise in the theory of sobolev type equations
No full textA central limit theorem and moderate deviation principle for the stochastic 2D Oldroyd model of order one
No full text
Deterministic and stochastic equations of motion arising in Oldroyd fluids of order one: existence, uniqueness, exponential stability and invariant measures
No full text
