scholarly journals Stability results of coupled wave models with locally memory in a past history framework via nonsmooth coefficients on the interface

2021 ◽  
Author(s):  
Mohammad Akil ◽  
Haidar Badawi ◽  
Serge Nicaise ◽  
Ali Wehbe
Keyword(s):  
Past History ◽  
Wave Models ◽  
Nonsmooth Coefficients ◽  
Stability Results ◽  
Coupled Wave

scholarly journals Theoretical and numerical stability results for a viscoelastic swelling porous-elastic system with past history

2021 ◽  
Vol 6 (11) ◽  
pp. 11921-11949
Author(s):  
Adel M. Al-Mahdi ◽  
◽  
Mohammad M. Al-Gharabli ◽  
Mohamed Alahyane ◽  
◽  
...  
Keyword(s):  
Elastic System ◽  
Past History ◽  
Stability Result ◽  
Kernel Functions ◽  
Memory Term ◽  
Relaxation Kernel ◽  
Wave Speeds ◽  
Swelling Porous Media ◽  
Stability Results ◽  
Theoretical Results

<abstract><p>The purpose of this paper is to establish a general stability result for a one-dimensional linear swelling porous-elastic system with past history, irrespective of the wave speeds of the system. First, we establish an explicit and general decay result under a wider class of the relaxation (kernel) functions. The kernel in our memory term is more general and of a broader class. Further, we get a better decay rate without imposing some assumptions on the boundedness of the history data considered in many earlier results in the literature. We also perform several numerical tests to illustrate our theoretical results. Our output extends and improves some of the available results on swelling porous media in the literature.</p></abstract>

Stability results for the approximation of weakly coupled wave equations

2012 ◽  
Vol 350 (1-2) ◽  
pp. 29-34 ◽  
Author(s):  
Farah Abdallah ◽  
Serge Nicaise ◽  
Julie Valein ◽  
Ali Wehbe
Keyword(s):  
Wave Equations ◽  
Weakly Coupled ◽  
Coupled Wave Equations ◽  
Stability Results ◽  
Coupled Wave

A Six Year Prospective Study of Fibrinogen and Other Risk Factors Associated with Mortality in Stable Claudicants

1992 ◽  
Vol 68 (03) ◽  
pp. 261-263 ◽  
Author(s):  
A K Banerjee ◽  
J Pearson ◽  
E L Gilliland ◽  
D Goss ◽  
J D Lewis ◽  
...  
Keyword(s):  
Risk Factors ◽  
Intermittent Claudication ◽  
Fibrinogen Level ◽  
Past History ◽  
Fold Increase ◽  
Arterial Disease ◽  
Plasma Fibrinogen ◽  
Plasma Fibrinogen Level ◽  
Factors Associated ◽  
Probability Of Death

SummaryA total of 333 patients with stable intermittent claudication at recruitment were followed up for 6 years to determine risk factors associated with subsequent mortality. Cardiovascular diseases were the underlying cause of death in 78% of the 114 patients who died. The strongest independent predictor of death during the follow-up period was the plasma fibrinogen level, an increase of 1 g/l being associated with a nearly two-fold increase in the probability of death within the next 6 years. Age, low ankle/brachial pressure index and a past history of myocardial infarction also increased the probability of death during the study period. The plasma fibrinogen level is a valuable index of those patients with stable intermittent claudication at high risk of early mortality. The results also provide further evidence for the involvement of fibrinogen in the pathogenesis of arterial disease.

Epitaxial Growth in Dislocation-Free Strained Alloy Films

2002 ◽  
Vol 715 ◽  
Author(s):  
Zhi-Feng Huang ◽  
Rashmi C. Desai
Keyword(s):  
Deposition Rate ◽  
Elastic Moduli ◽  
Composition Dependence ◽  
Critical Thickness ◽  
Lattice Misfit ◽  
Misfit Strain ◽  
Joint Stability ◽  
Alloy Films ◽  
The Stability ◽  
Stability Results

AbstractThe morphological and compositional instabilities in the heteroepitaxial strained alloy films have attracted intense interest from both experimentalists and theorists. To understand the mechanisms and properties for the generation of instabilities, we have developed a nonequilibrium, continuum model for the dislocation-free and coherent film systems. The early evolution processes of surface pro.les for both growing and postdeposition (non-growing) thin alloy films are studied through a linear stability analysis. We consider the coupling between top surface of the film and the underlying bulk, as well as the combination and interplay of different elastic effects. These e.ects are caused by filmsubstrate lattice misfit, composition dependence of film lattice constant (compositional stress), and composition dependence of both Young's and shear elastic moduli. The interplay of these factors as well as the growth temperature and deposition rate leads to rich and complicated stability results. For both the growing.lm and non-growing alloy free surface, we determine the stability conditions and diagrams for the system. These show the joint stability or instability for film morphology and compositional pro.les, as well as the asymmetry between tensile and compressive layers. The kinetic critical thickness for the onset of instability during.lm growth is also calculated, and its scaling behavior with respect to misfit strain and deposition rate determined. Our results have implications for real alloy growth systems such as SiGe and InGaAs, which agree with qualitative trends seen in recent experimental observations.

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