Slow motion of a body in a fluid of second grade

DOI10.1016/S0020-7225(96)00064-XzbMath0908.76007OpenAlexW2092002639MaRDI QIDQ1388224

Kumbakonam R. Rajagopal, Giovanni Paolo Galdi

Publication date: 11 June 1998

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0020-7225(96)00064-x

zbMATH Keywords

unique solutionStokes' solution

Mathematics Subject Classification ID

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

Related Items (6)

ORIENTATION OF SYMMETRIC BODIES FALLING IN A SECOND-ORDER LIQUID AT NONZERO REYNOLDS NUMBER ⋮ Similarity solutions for creeping flow and heat transfer in second-grade fluid ⋮ Existence of steady freefall of rigid bodies in a second-order fluid with applications to particle sedimentation ⋮ Approximate controllability of second-grade fluids ⋮ Some new exact solutions for MHD aligned creeping flow and heat transfer in second-grade fluids by using Lie group analysis ⋮ Global well-posedness of second-grade fluid equations in 2D exterior domain

Cites Work

• Existence results in Sobolev spaces for a stationary transport equation
• A note on the drag for fluids of grade three
• Instability, uniqueness, and nonexistence theorems for the equation \(u_t=u_{xx}-u_{xtx}\) on a strip
• 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
• Further existence results for classical solutions of the equations of a second-grade fluid
• Symmetric positive linear differential equations
• On Uniqueness and Nonuniqueness in the Plane Creeping Flows of Second Order Fluids
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