Abstract
We consider the statement of an initial-boundary value problem for a generalized Oldroyd model describing both laminar and turbulent motions of a nonlinear viscous-elastic fluid. The operator interpretation of a posed problem is presented. The properties of operators forming the corresponding equations are investigated. We introduce approximating 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.
Original language | British English |
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Pages (from-to) | 197-226 |
Number of pages | 30 |
Journal | Nonlinear Analysis, Theory, Methods and Applications |
Volume | 53 |
Issue number | 2 |
DOIs | |
State | Published - Apr 2003 |
Keywords
- Constitutive Oldroyd equations
- Existence theorem
- Leray-Schauder degree
- Mixed boundary conditions
- Nonlinear viscous-elastic fluid
- The initial-boundary value problem
- Weak solutions