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Acta Mathematica Sinica,English Series 2022年第6期38卷 985-1001页

作者： Yu Lan WANg Michael winkler Zhao Yin XIANg School of Science Xihua UniversityChengdu 610039P.R.China Institut fur Mathematik Universitat Paderborn33098 PaderbornGermany School of Mathematical Sciences University of Electronic Science and Technology of ChinaChengdu 611731P.R.China

The chemotaxis-Navier-Stokes system{nt+u・∇n=Δn−∇・(n∇c),ct+u・∇c=Δc−nc,ut+(u・∇)u=Δu+∇P+n∇φ,∇・u=0is considered in a smoothly bounded planar domainΩunder the boundary conditions(∇n−n∇c)・ν=0,c=c,u=0,x∈∂Ω,t>0,with a given nonnegative constant c_(*).It is shown that if(n_(0),c_(0),u_(0))is sufficiently regular and such that the product||n_(0)||L^(1)(Ω)||c_(0)||^(2)L^(∞)(Ω)is suitably small,an associated initial value problem possesses a bounded classical solution with(n,c,u)|_(t=0)=(n_(0),c_(0),u_(0)).

关键词： Chemotaxis Navier-Stokes system Dirichlet boundary condition

RATIONAL gENERAL SOLUTIONS OF HIgHER ORDER ALgEBRAIC ODES

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Journal of Systems Science & Complexity 2013年第2期26卷 261-280页

作者： HUANg Yanli Ng L X Chu winkler Franz School of Computer Science and Software Engineering Tianjin Polytechnic University Research Institute for Symbolic Computation(RISC) Johannes Kepler University Department of Mathematics Quy Nhon University

This paper generalizes the method of Ng6 and winkler （2010, 2011） for finding rational general solutions of a first order non-autonomous algebraic ordinary differential equation （AODE） to the case of a higher order AODE, provided a proper parametrization of its solution hypersurface. The authors reduce the problem of finding the rational general solution of a higher order AODE to finding the rational general solution of an associated system. The rational general solutions of the original AODE and its associated system are in computable 1-1 correspondence. The authors give necessary and sufficient conditions for the associated system to have a rational solution based on proper reparametrization of invariant algebraic space curves. The authors also relate invariant space curves to first integrals and characterize rationally solvable systems by rational first integrals.

关键词： Algebraic ODE associated system invariant algebraic space curve rational first integral rational general solution.

Topology of triple-point metals

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Chinese Physics B 2019年第7期28卷 54-72页

作者： georg W.winkler Sobhit Singh Alexey A.Soluyanov Microsoft Quantum Microsoft Station Q University of California Santa Barbara California 93106-6105 USA Department of Physics and Astronomy Rutgers University Piscutuwny New Jersey 08854 USA Institute of Physics University of Zurich. Winterthurerstrasse 190 8057 Zurich Switzerland Department of Physics. St. Petersburg State University St. Petersburg 199034Russia

We discuss and illustrate the appearance of topological fermions and bosons in triple-point metals where a band crossing of three electronic bands occurs close to the Fermi *** bosons appear in the phonon spectrum of certain triple-point metals, depending on the mass of atoms that form the binary triple-point *** first provide a classification of possible triple-point electronic topological phases possible in crystalline compounds and discuss the consequences of these topological phases, seen in Fermi arcs, topological Lifshitz transitions, and transport *** we show how the topological phase of phonon modes can be extracted and proven for relevant ***,we show how the interplay of electronic and phononic topologies in triple-point metals puts these metallic materials into the list of the most efficient metallic thermoelectrics known to date.

关键词： topological metals topological phonons electronic structure thermoelectrics

Collembola communities and soil conditions in forest plantations established in an intensively managed agricultural area

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Journal of Forestry Research 2021年第5期32卷 1819-1832页

作者： István Harta Barbara Simon Szergej Vinogradov Dániel winkler Institute of Environmental Science Szent István UniversityGödöllőHungary Institute of Methodology Szent István UniversityGödöllőHungary Institute of Wildlife Management and Vertebrate Zoology University of SopronSopronHungary

The challenges of a changing climate have directed greater attention to afforestation,but the effects of afforestation on soil fertility and soil biota have not been fully *** explore changes in the soil conditions in two 20-year-old forest plantations established in formerly intensively fertilized plots of agricultural land,we focused on the current developmental state of the sites that received the most fertilizer and evaluated soil properties and Collembola(springtails)*** oak(Quercus petraea)and black locust(Robinia pseudoacacia)that had been planted in the afforestation sites were assessed for differences between plantations of native and invasive *** adjacent reference associations,including forests and open habitats,were also analyzed and *** showed that the soils in the two afforested sites were similar in their properties and Collembola communities to those of the control cultivated forests,but differed from each other in pH,calcium,phosphorus,and ammonium *** available potassium and phosphorus contents in the soil of the sessile oak plantation were still high,while the soil organic matter content was adequate(SOM>2.0%)in both *** richness of Collembola ranged from 18 in the cultivated arable land to 43 in the relict *** a few species typical for forests(e.g.,Neanura muscorum,Isotomiella minor,Entomobrya muscorum)were detected in the young plantations,while species characteristic of open habitats(e.g.,Protaphorura campata,Lepidocyrtus cyaneus)occurred as *** more individuals and species of Collembola were present in the soil of young plantations than in arable fields,their community diversities were significantly lower compared to the control forest *** community diversity differed significantly also between the two plantation types(with native and non-native tree species).Mean abundance in the afforested sites was about 2.5 times higher than in the cultiv

关键词： Afforestation Diversity Fertilizers Soil fauna Soil properties Springtails

Simulating the evolution of a clonal trait in plants with sexual and vegetative reproduction

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Journal of Plant Ecology 2008年第3期1卷 161-171页

作者： Markus Fischer Eckart winkler Bernhard Schmid Institute of Plant Sciences University of BernAltenbergrain 21CH-3013 BernSwitzerland Institute for Biochemistry and Biology University of PotsdamMaulbeerallee 1D-14469 PotsdamGermany Department of Ecological Modelling Helmholtz Centre for Environmental Research UFZPO Box 500135D-04301 LeipzigGermany Institute of Environmental Sciences University of ZurichWinterthurerstrasse 190CH-8057 ZurichSwitzerland

Aims Phenotypic optimality models neglect ***,especially when heterozygous genotypes are fittest,evolving allele,genotype and phenotype frequencies may not correspond to predicted *** was not previously addressed for organisms with complex life *** Therefore,we modelled the evolution of a fitness-relevant trait of clonal plants,stolon internode *** explored the likely case of an asymmetric unimodal fitness profile with three model *** constant selection models(CSMs),which are gametic,but not spatially explicit,evolving allele frequencies in the one-locus and fiveloci cases did not correspond to optimum stolon internode length predicted by the spatially explicit,but not gametic,phenotypic *** deviation was due to the asymmetry of the fitness ***,spatially explicit individual-based(SEIB)modeling allowed us relaxing the CSM assumptions of constant selection with exclusively sexual *** findings For entirely vegetative or sexual reproduction,predictions of the gametic SEIB model were close to the ones of spatially explicit nongametic phenotypic models,but for mixed modes of reproduction they approximated those of gametic,not spatially explicit ***,in contrast to gametic SEIB models,phenotypic models and,especially for few loci,also CSMs can be very *** conclude that the evolution of traits governed by few quantitative trait loci appears hardly predictable by simple models,that genetic algorithms aiming at technical optimization may actually miss the optimum and that selection may lead to loci with smaller effects in derived compared with ancestral lines.

关键词： clonal plants ecological and evolutionary modelling genetic variation life-history evolution optimal life histories simulation model

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物体表面微生物受控运动

实验与分析 2016年第4期 22-24页

作者： roland g. winkler gerhard gompper Julich研究中心

细菌具有在几纳米的范围内区分物体表面不同特征的能力.利用此种能力可以控制细菌运动．例如，利用表面模型分离不同的移动细胞。

关键词：细菌运动表面微生物受控物体表面模型体表面能力利用

Uncertainty in geometric Computations 1

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Probing enzyme-nanoparticle interactions using combinatorial gold nanoparticle libraries

丛书名： The Springer International Series in Engineering and Computer Science

2002年

作者： Joab winkler Mahesan Niranjan

ISBN: (数字)9781461508137

ISBN: (纸本)9780792373094;9781461352525

This book contains the proceedings of the workshop Uncertainty in geomet ric Computations that was held in Sheffield, England, July 5-6, 2001. A total of 59 delegates from 5 countries in Europe, North America and Asia attended the workshop. The workshop provided a forum for the discussion of com putational methods for quantifying, representing and assessing the effects of uncertainty in geometric computations. It was organised around lectures by invited speakers, and presentations in poster form from participants. Computer simulations and modelling are used frequently in science and engi neering, in applications ranging from the understanding of natural and artificial phenomena, to the design, test and manufacturing stages of production. This widespread use necessarily implies that detailed knowledge of the limitations of computer simulations is required. In particular, the usefulness of a computer simulation is directly dependent on the user's knowledge of the uncertainty in the simulation. Although an understanding of the phenomena being modelled is an important requirement of a good computer simulation, the model will be plagued by deficiencies if the errors and uncertainties in it are not consid ered when the results are analysed. The applications of computer modelling are large and diverse, but the workshop focussed on the management of un certainty in three areas : geometric modelling, computer vision, and computer graphics.

关键词： Applications of Mathematics geometry Programming Techniques Numerical Analysis Computer Imaging, Vision, Pattern Recognition and graphics Computer-Aided Engineering (CAD, CAE) and Design

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Nano Research 2015年第4期8卷 1293-1308页

作者： Yanyan Liu David A. winkler V. Chandana Epa Bin Zhang Bing Yan School of Chemistry and Chemical Engineering Shandong University Jinan 250100 China CSIRO Manufacturing Flagship Bag 10 Clayton South MDC 3169 Australia Monash Institute of Pharmaceutical Sciences Parkville 3052 Australia CSIRO Manufacturing Flagship Parkville 3052 Australia

The interaction of nanoparticles with proteins is extremely complex, important for understanding the biological properties of nanomaterials, but is very poorly understood. We have employed a combinatorial library of surface modified gold nanoparticles to interrogate the relationships between the nanoparticle surface chemistry and the specific and nonspecific binding to a common, important, and representative enzyme, acetylcholinesterase （ACHE）. We also used Bayesian neural networks to generate robust quantitative structure-property relationship （QSPR） models relating the nanoparticle surface to the AChE binding that also provided significant understanding into the molecular basis for these interactions. The results illustrate the insights that result from a synergistic blending of experimental combinatorial synthesis and biological testing of nanoparticles with quantitative computational methods and molecular modeling.

关键词： gold nanoparticles surface modification enzyme inhibition acetylcholinesterase protein binding modeling quantitative structure-property relationship(QSPR) neural network

Synthesis of Ta C and Ta_2C from tantalum and graphite in the laser-heated diamond anvil cell

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Chinese Science Bulletin 2014年第36期59卷 5283-5289页

作者： Lkhamsuren Bayarjargal Bjrn winkler Alexandra Friedrich Erick A.Juarez-Arellano Institut fr geowissenschaften Universitt FrankfurtAltenh ferallee 1 60438 Frankfurt am Main Germany Universidad del Papaloapan Circuito Central 200 Parque Industrial 68301 Tuxtepec Mexico

The pressure dependence of the onset of the formation of Ta C and Ta2 C from the elements has been investigated by in situ X-ray diffraction and *** C has been synthesized by the reaction of Ta and graphite at pressures between 8.6 and 14.3 gPa and at temperatures up to 2,300 K using a laser-heated diamond anvil cell. The products were characterized by X-ray diffraction. Ta and graphite begin to react around 1,100 K at ambient pressure conditions, and the reaction temperature increases with increasing pressure. A linear extrapolation of these data is consistent with recent observations of the formation of Ta C at 90 gPa and 3,600 K. We show that diffusion of carbon into tantalum significantly changes the lattice parameter of up to 2 % in the pressure range of up to19 gPa. In some experiments, Ta2 C was formed concomitantly. The experimentally determined bulk modulus of Ta2 C is B0;exp:= 286(5) gPa. Other tantalum carbide phases were not observed.

关键词：细胞合成激光加热碳化钽金刚石石墨原位X射线衍射压力依赖性反应温度

Machine learning property prediction for organic photovoltaic devices

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npj Computational Materials 2020年第1期6卷 279-286页

作者： Nastaran Meftahi Mykhailo Klymenko Andrew J.Christofferson Udo Bach David A.winkler Salvy P.Russo ARC Centre of Excellence in Exciton Science School of ScienceRMIT UniversityMelbourneVIC 3001Australia School of Science College of ScienceEngineering and HealthRMIT UniversityMelbourneVIC 3001Australia ARC Centre of Excellence in Exciton Science Department of Chemical EngineeringMonash UniversityWellington RoadClaytonVIC 3800Australia La Trobe Institute for Molecular Science La Trobe UniversityKingsbury DriveBundooraVIC 3086Australia Monash Institute of Pharmaceutical Sciences Monash UniversityParkvilleVIC 3052Australia School of Pharmacy University of NottinghamNottingham NG72QLUK CSIRO Data61 PullenvaleQLD 4069Australia

Organic photovoltaic(OPV)materials are promising candidates for cheap,printable solar ***,there are a very large number of potential donors and acceptors,making selection of the best materials ***,we show that machine-learning approaches can leverage computationally expensive DFT calculations to estimate important OPV materials properties quickly and *** generate quantitative relationships between simple and interpretable chemical signature and one-hot descriptors and OPV power conversion efficiency(PCE),open circuit potential(Voc),short circuit density(Jsc),highest occupied molecular orbital(HOMO)energy,lowest unoccupied molecular orbital(LUMO)energy,and the HOMO–LUMO *** most robust and predictive models could predict PCE(computed by DFT)with a standard error of±0.5 for percentage PCE for both the training and test *** model is useful for pre-screening potential donor and acceptor materials for OPV applications,accelerating design of these devices for green energy applications.

关键词： occupied property prediction