Analytical and numerical solutions of nonlinear differential equations arising in non-Newtonian fluid flows (Q1588427)

Using Schauder technique and a priori estimates, the authors study a boundary value problem for a nonlinear second-order ordinary differential equation which describes a rotational flow of a viscoelastic fluid around a circular cylinder. The authors prove existence and uniqueness results, and investigate the asymptotic behaviour of the solution as a material constant tends to zero. Finally, analytical results are compared with numerical solutions.