粘弹性流体流动非线性微分方程的存在性、唯一性及拟线性化结果

Differential Equations and Nonlinear Mechanics Pub Date : 2006-07-06 DOI:10.1155/DENM/2006/71717

F. Akyildiz, K. Vajravelu

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引用次数: 9

摘要

利用拟线性化技术，得到了一类六常数Oldroyd模型稳态泊泽维尔流非线性二阶微分方程的解。利用Schauder理论建立了存在性、唯一性和分析性结果。给出了数值结果，并讨论了解的显著特征。

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Existence, uniqueness, and quasilinearization results for nonlinear differential equations arising in viscoelastic fluid flow

Solutions for a class of nonlinear second-order differential equations arising in steady Poiseuille flow of an 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.

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Differential Equations and Nonlinear Mechanics

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审稿时长

20 weeks