Existence and uniqueness results for a nonlinear differential equation arising in viscous flow over a nonlinearly stretching sheet

DOI10.1016/j.aml.2010.09.011zbMath1229.34041OpenAlexW2014684769WikidataQ115360902 ScholiaQ115360902MaRDI QIDQ609997

Kuppalapalle Vajravelu, F. Talay Akyildiz, Robert A. van Gorder

Publication date: 1 December 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.09.011

zbMATH Keywords

existence and uniqueness theoremsviscous flowsimilarity solutionstretching sheetboundary layer problem

Mathematics Subject Classification ID

Viscoelastic fluids (76A10) Parameter dependent boundary value problems for ordinary differential equations (34B08) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Boundary value problems for mixed-type systems of PDEs (35M32)

Related Items (5)

Hydromagnetic stagnation point flow of a viscous fluid over a stretching or shrinking sheet ⋮ Combined effect of viscous dissipation and thermal radiation on fluid flows over a non-linearly stretched permeable wall ⋮ Comment on ``Existence and uniqueness results for a nonlinear differential equation arising in viscous flow over a nonlinearly stretching sheet ⋮ Analysis of nonlinear BVPs motivated by fluid film flow over a surface ⋮ Bounds, monotonicity, uniqueness, and analytical calculation of a class of similarity solutions for the fluid flow over a nonlinearly stretching sheet

Cites Work

• An approximation theorem for functionals, with applications in continuum mechanics
• Fluid flow over a nonlinearly stretching sheet
• On the uniqueness of flow of a Navier-Stokes fluid due to a stretching boundary
• Heat transfer of a continuous, stretching surface with suction or blowing
• Explicit analytic solution for similarity boundary layer equations.
• A nonsimilar moving-wall boundary-layer problem
• Uniqueness of flow of a second-order fluid past a stretching sheet
• Heat transfer in a viscoelastic fluid over a stretching sheet

This page was built for publication: Existence and uniqueness results for a nonlinear differential equation arising in viscous flow over a nonlinearly stretching sheet