Results 1  10
of
11,543
Periodic homogenization with an interface: The Onedimensional Case
, 2009
"... We consider a onedimensional diffusion process with coefficients that are periodic outside of a finite ‘interface region’. The question investigated in this article is the limiting long time / large scale behaviour of such a process under diffusive rescaling. Our main result is that it converges w ..."
Abstract

Cited by 3 (2 self)
 Add to MetaCart
We consider a onedimensional diffusion process with coefficients that are periodic outside of a finite ‘interface region’. The question investigated in this article is the limiting long time / large scale behaviour of such a process under diffusive rescaling. Our main result is that it converges
Analysis of paper pressing: the saturated onedimensional case
"... We derive a onedimensional model that describes pressing of water saturated paper in the presssection of the paper machine. The model involves two nonlinear diffusion equations which are coupled across an internal boundary. Existence and uniqueness as a number of qualitative properties are demons ..."
Abstract

Cited by 1 (1 self)
 Add to MetaCart
We derive a onedimensional model that describes pressing of water saturated paper in the presssection of the paper machine. The model involves two nonlinear diffusion equations which are coupled across an internal boundary. Existence and uniqueness as a number of qualitative properties
Tracking Of Shear Bands I. The OneDimensional Case
, 1995
"... . We develop a model for the dynamics of a fully developed shear band that allows effective computation across several length scales. From a macroscopic point of view, a shear band is a discontinuity in tangential velocity that supports a shear stress. Numerical simulation of the full system of gove ..."
Abstract

Cited by 5 (2 self)
 Add to MetaCart
. We develop a model for the dynamics of a fully developed shear band that allows effective computation across several length scales. From a macroscopic point of view, a shear band is a discontinuity in tangential velocity that supports a shear stress. Numerical simulation of the full system of governing equations reveals that the internal structure of the band consists of a quasistatic core surrounded by a thermal layer. We show that the shear band can be modeled as a composite structure whose evolution is governed by an integral equation, coupled to the external flow through jump conditions. We establish the accuracy of the model equations by numerical experiments. 1. Introduction Metals that are subjected to large shear stresses develop highly localized regions of shear strain. These regions are called shear bands. As pointed out by Zener and Hollomon [10], shear bands form when thermal softening outweighs strain and strain rate hardening: plastic straining generates heat, which so...
Optimal transportation with an oscillationtype cost: the onedimensional case
 SetVal. Var. Anal
"... Abstract. The main result of this paper is the existence of an optimal transport map T between two given measures µ and ν, for a cost which considers the maximal oscillation of T at scale δ, given by ωδ(T): = supx−y<δ T (x)−T (y). The minimization of this criterion finds applications in the ..."
Abstract

Cited by 3 (0 self)
 Add to MetaCart
in the field of privacyrespectful data transmission. The existence proof unfortunately only works in dimension one and is based on some monotonicity considerations.
OPTIMALLY TRANSPORTED SCHEMES: ONE DIMENSIONAL CASE
, 2008
"... Abstract. This article reports the first considerations, one dimensional ones, that led us to consider a new to our knowledge class of numerical methods, called ”Optimally Transported Schemes”. The name ”Optimally Transported Schemes ” has been given because this method is designed using mainly Opti ..."
Abstract
 Add to MetaCart
Abstract. This article reports the first considerations, one dimensional ones, that led us to consider a new to our knowledge class of numerical methods, called ”Optimally Transported Schemes”. The name ”Optimally Transported Schemes ” has been given because this method is designed using mainly
Closure of the Set of Diffusion Functionals  the One Dimensional Case
, 2008
"... We characterize the closure with respect to Mosco or Gammaconvergence of the set of diffusion functionals in the one dimension case. As commonly accepted we find this closure is a set of local Dirichlet forms. The difficulty is to identify the right notion of locality. We compare different possibl ..."
Abstract
 Add to MetaCart
We characterize the closure with respect to Mosco or Gammaconvergence of the set of diffusion functionals in the one dimension case. As commonly accepted we find this closure is a set of local Dirichlet forms. The difficulty is to identify the right notion of locality. We compare different
Inverse problems for homogeneous transport equations. Part I: Onedimensional case
"... This paper and a companion paper [1] are part I and II of a series dealing with the reconstruction from boundary measurements of the scattering operator of homogeneous linear transport equations. This rst part addresses the onedimensional half space setting, both for timedependent and steady stat ..."
Abstract

Cited by 10 (3 self)
 Add to MetaCart
This paper and a companion paper [1] are part I and II of a series dealing with the reconstruction from boundary measurements of the scattering operator of homogeneous linear transport equations. This rst part addresses the onedimensional half space setting, both for timedependent and steady
A Nonsmooth Global Optimization Technique Using Slopes  The OneDimensional Case
 Journal of Global Optimization
, 1999
"... . In this paper we introduce a pruning technique based on slopes in the context of interval branchandbound methods for nonsmooth global optimization. We develop the theory for a slope pruning step which can be utilized as an accelerating device similar to the monotonicity test frequently used in i ..."
Abstract

Cited by 8 (1 self)
 Add to MetaCart
in interval methods for smooth problems. This pruning step offers the possibility to cut away a large part of the box currently investigated by the optimization algorithm. We underline the new technique's efficiency by comparing two variants of a global optimization model algorithm: one equipped
Global Optimization Using Interval Analysis: The OneDimensional Case
"... Abstract. We show how interval analysis can be used to compute the minimum value of a twice continuously differentiable function of one variable over a closed interval. When both the first and second erivatives of the function have a finite number of isolated zeros, our method never fails to find t ..."
Abstract
 Add to MetaCart
the global minimum. Key Words. Global optimization, interval analysis, global minimization, onedimensional optimization. L
Results 1  10
of
11,543