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REITERATED HOMOGENIZATION OF NONLINEAR MONOTONE OpERATORS

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Chinese Annals of Mathematics,Series B 2001年第1期22卷 1-12页

作者： J.L.LIONS D.LUKKASSEN L.E.pERSSON p.wall CollegedeFrance 3rued＇Ulm75231Pariscedex05France NarvikInstituteofTechnologyandNorutTechnologyLtd. N-8505NarvikNorway DepartmentofMathematics LuleaUniversityofTechnologyS-97187LuleaSweden

In this paper, the authors study reiterated homogenization of nonlinear equations of the form --div(a(x, x/ε x/ε, Duε) = f, where a is periodic in the first two arguments and monotone in the third. It is proved that ue converges weakly in W1,p(Ω) (and even in some multiscale sense), as ε→ 0 to the solution uo of a limit problem. Moreover, an explicit expression for the limit problem is given. The main results were also stated in [15]. This article presents the complete proofs of these results.

关键词： Homogenization Nonlinear monotone operators Nonlinear equation

SUBCRITICAL TRANSITION IN pLANE pOISEUILLE FLOW

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SUBCRITICAL TRANSITION IN PLANE POISEUILLE FLOW

Organizational dynamics in adaptive distributed search processes: effects on performance and the role of complexity

第九届全国流体力学学术会议

作者： Masato Nagata Darren p.wall Department of Mechanics Tianjin University

Although the linear mechanism is bypassed in transition from the laminar state in plane poiseuille flow,the role of the nonlinear secondary flows that bifurcate from the linear neutral stability points,and the higher-order flows that in turn bifurcate from these flows,remains an open *** consider secondary and tertiary flows of this kind,thus re-examining and extending the problem previously considered by Ehrenstein & Koch(JFM 1991).The main conclusions of this previous study,that an’M(n;2m)’ solution branch could be continued down to Reynolds numbers at which transition is first observed with friction factor values corresponding to experimentally observed values are significantly revised by the present *** is demonstrated that the M(n;2m) solution does not exist,and that neither the Reynolds number nor friction factors of any of the tertiary flows corresponds to the first experimentally observed transition.

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Frontiers of Information Technology & Electronic Engineering 2016年第4期17卷 283-295页

作者： Friederike wall Department of Controlling and Strategic Management Alpen-Adria-Universitaet Klagenfurt

In this paper, the effects of altering the organizational setting of distributed adaptive search processes in the course of search are investigated. We put particular emphasis on the complexity of interactions between partial search problems assigned to search agents. Employing an agent-based simulation based on the framework of NK landscapes we analyze different temporal change modes of the organizational set-up. The organizational properties under change include, for example, the coordination mechanisms among search agents. Results suggest that inducing organizational dynamics has the potential to increase the effectiveness of distributed adaptive search processes with respect to various performance measures like the final performance achieved at the end of the search, the chance to find the optimal solution of the search problem, or the average performance per period achieved during the search process. However, results also indicate that the mode of temporal change in conjunction with the complexity of the search problem considerably affects the order of magnitude of these beneficial effects. In particular, results suggest that organizational dynamics induces a shift towards more exploration, i.e., discovery of new areas in the fitness landscape, and less exploitation, i.e., stepwise improvement.

关键词： Agent-based simulation Complexity Coordination Distributed search NK landscapes

Homogenization of Reynolds Equation by Two-Scale Convergence

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Chinese Annals of Mathematics,Series B 2007年第3期28卷 363-374页

作者： peter wall Department of Mathematics Lule University of TechnologyS-971 87 Lule Sweden.

To increase the hydrodynamic performance in different machine elements, as e.g. journal bearings and thrust bearings, during lubrication it is important to understand the influence of surface roughness. In this connection one encounters homogenization of the incompressible Reynolds equation, where the roughness of the lubricated surface is assumed to be periodic. This problem has recently been studied in more engineering- oriented papers by using the formal method of multiple scale expansion. In this paper, we rigorously prove both homogenization and corrector results by using two-scale convergence, which may be regarded as a justification of the formal multiple scale expansion method described above. Moreover, some numerical illustrations and results are presented.

关键词： Homogenization Two-scale convergence Reynolds equation Lubrication

Natural heritage values and comparative analyses of Kanas,China

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Journal of Arid Land 2010年第3期2卷 197-206页

作者： Geoffrey wall University of Waterloo

Kanas is a National Nature Reserve and National 5A Scenic Area,and it is also high on China’s National Natural Heritage List. In this paper,with an integrated analysis and comparative geo-graphical approach,the genesis and current features of the Kanas landscape are analyzed systematically according to the criteria for outstanding universal values that must be met for designation by the United Nations as World Natural Heritage. It is concluded that Kanas has outstanding universal values in geosciences,biology and aesthetics. Through comparison with other World Natural Heritage sites of the same geological types,in the same biogeographic zone and in the same latitude,it is concluded that Kanas meets criteria vii,viii,ix and x for designation as World Natural Heritage. Thus,this work establishes a scientific foundation for nomination of Kanas for such a status.

关键词： natural landscape characteristics heritage value comparative analyses Kanas of Xinjiang

Unlocking hypoglycemia–associated brain microvascular dysfunction:critical insights from proteomic analysis

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Neural Regeneration Research 2025年第6期20卷 1707-1708页

作者： Siva S.V.p.Sakamuri Anil Sakamuri Department of Chemistry Auburn University at MontgomeryMontgomeryALUSA Vascular Biology Center and Department of Medicine Medical College of Georgia at Augusta UniversityAugustaGAUSA

Hypoglycemia-a critical complication linked to worsened brain function in diabetic subjects:Hypoglycemia is characterized by a decline in circulatory glucose levels below sta nda rd physiological *** hypoglycemia,classified as level 1 hypoglycemia,is defined by blood glucose levels below 70 mg/dL and can be effectively addressed through carbohydrate *** hypoglycemia,denoted by blood glucose levels less than 54 mg/dL,poses a life-threatening risk if left *** with type 1 and type 2 diabetes undergoing insulin treatment are particularly susceptible to hypoglycemia due to impaired counterregulatory mechanisms.

关键词： impaired intake critical

Ecology and Behaviour of Burton's Legless Lizard(Lialis burtonis,pygopodidae) in Tropical Australia

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Asian Herpetological Research 2013年第1期4卷 9-21页

作者： Michael wall Richard SHINE School of Biological Sciences A08 University of Sydney

The elongate, functionally limbless flap-footed lizards （family pygopodidae） are found throughout Australia, ranging into southern New Guinea. Despite their diversity and abundance in most Australian ecosystems, pygopodids have attracted little scientific study. An intensive ecological study of one pygopodid, Burton＇s legless lizard （Lialis burtonis Gray 1835）, was conducted in Australia＇s tropical Northern Territory. L. burtonis eats nothing but other lizards, primarily skinks, and appears to feed relatively infrequently （only 20.8% of stomachs contained prey）. Ovulation and mating occur chiefly in the late dry-season （beginning around September）, and most egg-laying takes place in the early to middle wet-season （November-January）. Females can lay multiple clutches per year, some of which may be fertilised with stored sperm. Free-ranging L. burtonis are sedentary ambush foragers, with radio-tracked lizards moving on average 〈 5 m/day. Most foraging is done diurnally, but lizards may be active at any time of day or night. Radiotracked lizards were usually found in leaf-litter microhabitats, a preference that was also evident in habitat-choice experiments using field enclosures. Lizards typically buried themselves in 6-8 cm of litter; at this depth, they detect potential prey items while staying hidden from predators and prey and avoiding lethally high temperatures.

关键词： Squamata habitat use wet-dry tropics thermoregulation movement activity patterns

Small molecule inhibitor DDQ-treated hippocampal neuronal cells show improved neurite outgrowth and synaptic branching

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Neural Regeneration Research 2025年第9期20卷 2624-2632页

作者： Jangampalli Adi pradeepkiran priyanka Rawat Arubala p.Reddy Erika Orlov pHemachandra Reddy Department of Internal Medicine Texas Tech University Health Sciences CenterLubbockTXUSA Department of Nutritional Sciences College of Human SciencesTexas Tech UniversityLubbockTXUSA Department of pharmacology&Neuroscience Texas Tech University Health Sciences CenterLubbockTXUSA Department of Neurology Texas Tech University Health Sciences CenterLubbockTXUSA Department of Speech Language and Hearing SciencesTexas Tech University Health Sciences CenterLubbockTXUSA Department of public Health Texas Tech University Health Sciences CenterLubbockTXUSA

The process of neurite outgrowth and branching is a crucial aspect of neuronal development and *** and dendrites,sometimes referred to as neurites,are extensions of a neuron's cellular body that are used to start *** we explored the effects of diethyl(3,4-dihydroxyphenethylamino)(quinolin-4-yl)methylphosphonate(DDQ)on neurite developmental features in HT22 neuronal *** this work,we examined the protective effects of DDQ on neuronal processes and synaptic outgrowth in differentiated HT22cells expressing mutant Tau(mTau)*** investigate DDQ chara cteristics,cell viability,biochemical,molecular,western blotting,and immunocytochemistry were *** outgrowth is evaluated through the segmentation and measurement of neural *** neural processes can be seen and measured with a fluorescence microscope by manually tracing and measuring the length of the neurite *** neuronal processes can be observed and quantified with a fluorescent microscope by manually tracing and measuring the length of the neuronal ***-treated mTau-HT22 cells(HT22 cells transfected with cDNA mutant Tau)were seen to display increased levels of synaptophysin,MAp-2,andβ-***,we confirmed and noted reduced levels of both total and p-Tau,as well as elevated levels of microtubule-associated protein 2,β-tubulin,synaptophysin,vesicular acetylcholine transporter,and the mitochondrial biogenesis protein-pe roxisome prolife rator-activated receptor-gamma coactivator-1α.In mTa u-expressed HT22 neurons,we observed DDQ enhanced the neurite characteristics and improved neurite development through increased synaptic *** findings conclude that mTa u-HT22(Alzheimer's disease)cells treated with DDQ have functional neurite developmental chara *** key finding is that,in mTa u-HT22 cells,DDQ preserves neuronal structure and may even enhance nerve development function with mTa u inhibition.

关键词： diethyl(3 4-dihydroxyphenethylamino)(quinolin-4-yl)methylphosphonate(DDQ) hippocampal neuronal cells HT22 neurite outgrowth neuronal development small molecule

Homogenization of a Class of Nonlinear Variational Inequalities with Applications in Fluid Film Flow

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Chinese Annals of Mathematics,Series B 2011年第3期32卷 417-434页

作者： Dag LUKKASSEN Annette MEIDELL peter wall Narvik University College Department of Mathematics Lule University of Technology

The authors consider the homogenization of a class of nonlinear variational inequalities,which include rapid oscillations with respect to a *** homogenization of the corresponding class of differential equations is also *** results are applied to some models for the pressure in a thin fluid film fluid between two surfaces which are in relative *** is an important problem in the lubrication *** particular,the analysis includes the effects of surface roughness on both faces and the phenomenon of ***,the fluid can be modeled as Newtonian or non-Newtonian by using a Rabinowitsch fluid model.

关键词： Homogenization Two-scale convergence Lubrication Variational inequalities