Point Rupture Solutions of a Singular Quasilinear Elliptic Equation Arise from Non-Newtonian Fluids

Abstract:

We consider the quasilinear elliptic equation in a finite ball in , where Motivated by the thin film equations, a solution is said to be a point rupture solution if for some , and for any . Our main result is a sufficient condition on for the existence of radial point rupture solutions.

• Periodical: Advanced Materials Research (Volumes 989-994)
• Pages: 1829-1832
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.989-994.1829
• Online since: July 2014
• Authors: Zhou Jin Cui*, Ming Yang Xu, Rui Zhang
• Keywords: Point Rupture, Quasilinear Elliptic Equation, Radial Solution, Singular, Thin Film

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