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Title: On steady motion of viscoelastic fluid of Oldroyd type

We consider a mathematical model describing the steady motion of a viscoelastic medium of Oldroyd type under the Navier slip condition at the boundary. In the rheological relation, we use the objective regularized Jaumann derivative. We prove the solubility of the corresponding boundary-value problem in the weak setting. We obtain an estimate for the norm of a solution in terms of the data of the problem. We show that the solution set is sequentially weakly closed. Furthermore, we give an analytic solution of the boundary-value problem describing the flow of a viscoelastic fluid in a flat channel under a slip condition at the walls. Bibliography: 13 titles. (paper)
Authors:
 [1]
  1. Voronezh State University of Engineering Technologies (Russian Federation)
Publication Date:
OSTI Identifier:
22365109
Resource Type:
Journal Article
Resource Relation:
Journal Name: Sbornik. Mathematics; Journal Volume: 205; Journal Issue: 6; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; ANALYTICAL SOLUTION; BOUNDARY-VALUE PROBLEMS; FLUIDS; MATHEMATICAL MODELS; NAVIER-STOKES EQUATIONS; SLIP; SOLUBILITY