Existence of threedimensional flows of second-grade fluids past an obstacle

DOI10.1016/S0362-546X(97)00393-3zbMath0893.35106OpenAlexW2037103205MaRDI QIDQ4375977

Juha H. Videman, Adélia Sequeira, Antonin Novotny

Publication date: 20 August 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00393-3

zbMATH Keywords

existenceuniquenessincompressible fluidtransport equationOseen systemdecomposition procedureSchauder-type estimateexterior body force

Mathematics Subject Classification ID

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

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Cites Work

• Existence results in Sobolev spaces for a stationary transport equation
• An approximation theorem for functionals, with applications in continuum mechanics
• Anomalous features in the model of second order fluids
• Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade
• 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
• Investigation of the problem of the flow of a compressible viscous fluid past a bounded body in the Hölder classes of functions
• Further existence results for classical solutions of the equations of a second-grade fluid
• Steady motions of viscoelastic fluids in three-dimensional exterior domains. Existence, uniqueness and asymptotic behaviour
• Existence and uniqueness of classical solutions for a class of complexity-2 fluids
• Comments on the validity of a common category of constitutive equations
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