On weak solutions for some model of motion of nonlinear viscous-elastic fluid

Viktor G. Zvyagin, Vladimir T. Dmitrienko


We consider the statement of an initial boundary value problem for a
generalized Oldroyd model describing both laminar and turbulent flows of a
nonlinear visco-elastic fluid. The operator interpretation of a posed
problem is presented. The properties of operators forming the corresponding
equation are investigated. We introduce approximating operator equations
and prove their solvability. On that base the existence theorem for the
operator equation equivalent to the stated initial boundary value problem
is proved.


Nonlinear viscous elastic fluids; laminar and turbulent flows; initial boundary value problem; operator equations; week solution; degree theory

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