A new upper bound is provided for the L∞-norm of the difference between the viscosity solution of a model steady state Hamilton-Jacobi equation, u, and any given approximation, v. This upper bound is independent of the method used to compute the approximation v; it depends solely on the values that the residual takes on a subset of the domain which can be easily computed in terms of v. Numerica...

in this study, a new method for joining aluminum tubes in subsurface structures using steel converting and aluminum welding are presented and reviewed. but near the weld area is under high thermal cycle and will cause residual stresses in heat affected zone. therefore for assessment of proposed connection from the perspective of residual stress by using the finite element method welding of tube...

The buoyancy-driven boundary-layer flow from a heated horizontal circular cylinder immersed in a water-based alumina (Al2O3) nanofluid is investigated using variable properties for nanofluid viscosity. Two different viscosity models are utilized to evaluate heat transfer enhancement from a cylinder. Exact analytic solutions of the problem are attained employing a novel...

Lithium aluminosilicate glass-ceramics have found widespread commercial success in areas such as consumer products, telescope mirrors, fireplace windows, etc. However, there is still much to learn regarding the fundamental mechanisms of crystallization, especially related to the evolution of viscosity as a function of the crystallization (ceramming) process. In this study, the impact of phase a...

The apparent viscosity (pseudoplastic viscosity) of mucilage of leucaena seed gum was calculated, based on flow curves, obtamed With multiple point viscometer. Attempts were made to correlate the various rheological properties, describIng the_ overall flow behaviOur of gum, with their concentrations. The relationship between N(exponential constant) and concentration was found to be a zero order...

We provide a precise description of the set of residual boundary conditions generated by the self-similar viscous approximation introduced by Dafermos et al. We then apply our results, valid for both conservative and non conservative systems, to the analysis of the boundary Riemann problem and we show that, under appropriate assumptions, the limits of the self-similar and the classical vanishin...

The paper deals with the propagation of singularities of semi-convex functions. We obtain lower bounds on the degree of the singularities and on the size of the singular set in a neighborhood of a singular point. These results apply to viscosity solutions of HamiltonJacobi-Bellman equations. In particular, they provide sufficient conditions for the propagation of singularities, depending only o...