On weak solutions for some model of motion of nonlinear viscous-elastic fluid
Keywords
Nonlinear viscous elastic fluids, laminar and turbulent flows, initial boundary value problem, operator equations, week solution, degree theoryAbstract
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.Downloads
Published
1999-12-01
How to Cite
1.
ZVYAGIN, Viktor G. and DMITRIENKO, Vladimir T. On weak solutions for some model of motion of nonlinear viscous-elastic fluid. Topological Methods in Nonlinear Analysis. Online. 1 December 1999. Vol. 14, no. 2, pp. 295 - 325. [Accessed 17 February 2025].
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