Results 41 to 50 of about 18,549 (299)

Dichotomies for systems with discontinuous coefficients [PDF]

Bulletin of the Australian Mathematical Society, 1992
In this work we are concerned with the problem of the existence of an exponential dichotomy for the linear singularly perturbed system εx′ = A(t)x, where the matrix A(t) is piecewise uniformly continuous, that is, A(t) admits points of discontinuity but is uniformly continuous in any interval where it is continuous.
openaire   +2 more sources

Solvability for Schrodinger equations with discontinuous coefficients

, 2016
We consider the L-P solvability for divergence and non-divergence form Schrodinger equations with discontinuous coefficients. As an application, we give the global Morrey regularity for divergence and non-divergence form Schrodinger operators with VMO ...
Tang, Lin, Pan, Guixia
core   +1 more source

Additive Manufacturing of Continuous Fibre Reinforced Composites: Process, Characterisation, Modelling, and Sustainability

Advanced Engineering Materials, EarlyView.
Additive manufacturing provides precise control over the placement of continuous fibres within polymer matrices, enabling customised mechanical performance in composite components. This article explores processing strategies, mechanical testing, and modelling approaches for additive manufactured continuous fibre‐reinforced composites.
Cherian Thomas, Amir Hosein Sakhaei
wiley   +1 more source

Logistic Dirichlet problems with discontinuous coefficients

Journal de Mathématiques Pures et Appliquées, 2003
The author studies existence of positive solutions to semilinear Dirichlet eigenvalue problems for diffusive logistic equations with discontinuous coefficients which model population dynamics in environments with spatial heterogeneity. Precisely, let \(\Omega\subset {\mathbb R}^N,\) \(N\geq3,\) be a bounded and \(C^{1,1}\)-smooth domain and ...
openaire   +1 more source

Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading

Advanced Engineering Materials, EarlyView.
The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley   +1 more source

Investigating the Mechanical Properties and Water Permeability of Recycled Pervious Concrete Using Three Typical Gradation Schemes

Buildings
This study aims to investigate the influence of three typical gradation schemes, including continuous gradation, discontinuous gradation, and single gradation, on the mechanical properties and water permeability of pervious concrete using recycled coarse
Hongjie Lv, Zhe Xiong, Huawei Li, Jia Liu, Gang Xu, Haofan Chen   +5 more
doaj   +1 more source

Adaptive metric-based multigrid for a Poisson problem with discontinuous coefficients*, **

ESAIM: Proceedings and Surveys, 2014
In order to solve the linear partial differential equation Au = f, we combine two methods: Full-Multigrid method and Hessian-based mesh adaptation.
Brèthes Gautier
doaj   +1 more source

Composite finite elements for elliptic boundary value problems with discontinuous coefficients [PDF]

, 2006
In this paper, we will introduce composite finite elements for solving elliptic boundary value problems with discontinuous coefficients. The focus is on problems where the geometry of the interfaces between the smooth regions of the coefficients is very ...
Sauter, S A, Warnke, R
core   +1 more source

Karl Popper and the Mechanisms of Hydrogen Embrittlement

Advanced Engineering Materials, EarlyView.
Representation of the beginning of loss of ductility rather than embrittlement. Small concentrations of hydrogen in a diffusible form within iron are well‐established to harm the mechanical integrity of steels. There are theories that attempt to explain the pernicious role of hydrogen.
H. K. D. H. Bhadeshia
wiley   +1 more source

The stability of Cohen–Grossberg neural networks with time dependent delays

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2023
Background. The study is devoted to the analysis of stability in the sense Lyapunov Cohen-Grossberg neural networks with time-dependent delays. To do this, we study the stability of the steady-state solutions of systems of linear differential equations ...
Il'ya V. Boykov, Vladimir A. Rudnev, Alla I. Boykova   +2 more
doaj   +1 more source