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Existence, uniqueness, and quasilinearization results for nonlinear differential equations arising in viscoelastic fluid flow. (English) Zbl 1132.76007

Summary: Solutions for a class of nonlinear second-order differential equations arising in the theory of steady Poiseuille flow of Oldroyd six-constant model are obtained using the quasilinearization technique. Existence, uniqueness, and analyticity results are established using Schauder theory. Numerical results are presented graphically, and salient features of the solutions are discussed.

MSC:

76A10 Viscoelastic fluids
35Q35 PDEs in connection with fluid mechanics
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References:

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