The Flow Associated to Weakly Differentiable Vector Fields: Recent Results and Open Problems

Existence, uniqueness, stability and differentiability properties of the flow associated to weakly differentiable vector fields

On the Chain Rule for the Divergence of Bv like Vector Fields: Applications, Partial Results, Open Problems

In this paper we study the distributional divergence of vector fields U in R of the form U = wB, where w is scalar function and B is a weakly differentiable vector field (or more in general the divergence of tensor fields of the form w⊗B). In particular we are interested in a kind of chain rule property, relating the divergence of h(w)B to the divergence of wB. In some sense, if one replaces “d...

A Modified Flux Vector Splitting Scheme for Flow Analysis in Shock Wave Laminar Boundary Layer Interactions

The present work introduces a modified scheme for the solution of compressible 2-D full Navier-Stokes equations, using Flux Vector Splitting method. As a result of this modification, numerical diffusion is reduced. The computer code which is developed based on this algorithm can be used easily and accurately to analyze complex flow fields with discontinuity in properties, in cases such as shock...

A Modified Flux Vector Splitting Scheme for Flow Analysis in Shock Wave Laminar Boundary Layer Interactions

The present work introduces a modified scheme for the solution of compressible 2-D full Navier-Stokes equations, using Flux Vector Splitting method. As a result of this modification, numerical diffusion is reduced. The computer code which is developed based on this algorithm can be used easily and accurately to analyze complex flow fields with discontinuity in properties, in cases such as shock...

$C$-class Functions and Common Fixed Point Theorems Satisfying $varphi $-weakly Contractive Conditions

In this paper, we discuss and extend some recent common fixed point results established by using $varphi-$weakly contractive mappings. A very important step in the development of the fixed point theory was given by A.H. Ansari by the introduction of a $C-$class function. Using $C-$class functions, we generalize some known fixed point results. This type of functions is a very important class of ...