We review progress and open challenges for a number of problems related to the Oldroyd B
model which are of current interest to the mathematical community. We discuss existence …

We discuss boundary layers arising in the high Weissenberg number limit of viscoelastic
flows and the scalings that arise in analyzing them. Two quite distinct mechanisms for the …

We consider the flow of an upper convected Maxwell fluid in the limit of high Weissenberg
and Reynolds number. In this limit, the no-slip condition cannot be imposed on the solutions …

BVPh2. 0 solver is an algorithm developed in Wolrfram Mathematica. This article describes
the utilization of BVPh2. 0 for the static wedge flow of non-viscous Maxwell nanofluid. The …

We consider the equations for time dependent cree** flow of an upper convected Maxwell
fluid. For finite Weissenberg number, these equations can be reformulated as a coupled …

The classic Blassius problem of steady boundary-layer flow of the upper convected Maxwell
over a flat plate in a moving fluid is studied. According to scaling parameters the equations …

We discuss the existence of global solutions to the magnetohydrodynamics (MHD)
equations, where the effects of finite Larmor radius corrections are taken into account. Unlike …

For simple fluids, or Newtonian fluids, the study of the Navier-Stokes equations in the high
Reynolds number limit brings about two fundamental research subjects, the Euler equations …