Universal solutions are found for isotropic elastic bodies, for a class of constitutive equation that is not Green elastic, wherein the linearized strain is assumed to be a function of the Cauchy stress. The structure of ...

The implicit function theorem is used to obtain some necessary and sufficient conditions, for which an implicit constitutive relation can be solved in terms of the stresses and strains, in the sense of expressing, for ...

This work presents a finite difference technique for simulating three-dimensional free surface flows governed by the Upper-Convected Maxwell (UCM) constitutive equation. A Marker-and-Cell approach is employed to represent ...

In this paper we design a new implicit solver for the Junction-Generalized Riemann Problem (J-GRP),whichis based on a recently proposed implicit method for solving the Generalized Riemann Problem (GRP) for systems of ...

The Born-Infeld equation in the plane is usefully captured in complex language. The general exact solution can be written as a combination of holomorphic and antiholomorphic functions. However, this solution only expresses ...

Les problemes d'optimisation combinatoire sont des problemes dont les solutions peuvent setrouver dans un ensemble de configurations de grande taille. II s'agit de trouver une meilleuresolution en vérifiant un critere ...

The joint problem of selecting routing and a capacity for each link in a communication network is considered. We apply an alternative approach for some models that have been addressed for computer networks discrete capacity ...

It is hereby established that, in Euclidean spaces of finite dimension, bounded self-contracted curves have finite length. This extends the main result of Daniilidis et al. (J. Math. Pures Appl. 94:183–199, 2010) concerning ...

Accurate theoretical data on many time-dependent processes in atomic and molecular physics and in chemistry require the direct numerical ab initio solution of the time-dependent Schrödinger equation, thereby motivating the ...