2 documents found, page 1 of 1
Coupled systems with Ambrosetti-Prodi-type differential equations
Minhós, Feliz; Carapau, Fernando; Rodrigues, GracinoIn this paper, we consider some boundary value problems composed by coupled systems of second-order differential equations with full nonlinearities and general functional boundary conditions verifying some monotone assumptions. The arguments apply the lower and upper solutions method, and defining an adequate auxiliary, homotopic, and truncated problem, it is possible to apply topological degree theory as the t...
A Three-Dimensional Velocity Field Related to a Generalized Third-Grade Fluid M...
Carapau, Fernando; Correia, Paulo; Rodrigues, GracinoIn this work, we propose a new three-dimensional constitutive equation related to a thirdgrade fluid. This proposal is based on experimental work for which the viscosity term and the terms related to viscoelasticity may depend on the shear rate, in accordance with a power-law type model. The numerical implementation of this fluid model is rather demanding in terms of computational calculation and, in this sense...