Rajagopal, K. R.; Troy, W.; Massoudi, M. Existence of solutions to the equations governing the flow of granular materials. (English) Zbl 0755.76012 Eur. J. Mech, B 11, No. 3, 265-276 (1992). Summary: We shall investigate the existence of solutions for the flow of a granular materials down an inclined plane maintained at a constant temperature. The constitutive equation for the stress is one that has been used recently. The governing equations reduce to a system of coupled, nonlinear ordinary differential equations with nonlinear boundary conditions. We find that these equations admit non-unique solutions, one in which the volume fraction monotonically increases and the other in which it monotonically decreases from the inclined plane to the free surface. Cited in 10 Documents MSC: 76A99 Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena 74A99 Generalities, axiomatics, foundations of continuum mechanics of solids 34A34 Nonlinear ordinary differential equations and systems Keywords:inclined plane; constant temperature; constitutive equation for the stress; nonlinear ordinary differential equations; nonlinear boundary conditions; non-unique solutions; volume fraction PDFBibTeX XMLCite \textit{K. R. Rajagopal} et al., Eur. J. Mech., B 11, No. 3, 265--276 (1992; Zbl 0755.76012)