Existence of regular steady motions for a second-grade fluid with nonhomogeneous boundary conditions

DOI10.1007/BF02673595zbMath0911.35093MaRDI QIDQ1129790

Vincenzo Coscia, Giovanni Paolo Galdi

Publication date: 1 November 1998

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

decomposition methodfixed pointmultivalued mapRivlin-Ericksen fluidsvector transport problemStokes-like problemvelocity flux

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10)

Cites Work

• Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade
• Some problems of vector analysis and generalized formulations of boundary-value problems for the Navier-Stokes equations
• Existence and uniqueness of classical solutions of the equations of motion for second-grade fluids
• Existence, uniqueness and stability of regular steady motions of a second-grade fluid
• Fluids of differential type: Critical review and thermodynamic analysis
• Further existence results for classical solutions of the equations of a second-grade fluid
• Existence and uniqueness of classical solutions for a class of complexity-2 fluids
• Existence and uniqueness of solutions of the equations of motion for a fluid of second grade with non-homogeneous boundary conditions
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