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Variable-order fractional derivative rutting depth prediction of asphalt pavement based on the RIOHTrack full-scale track

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Science China(Information Sciences) 2023年第5期66卷 196-214页

作者： Yu WANG Jiaojiao YAN Wei HUANG leszek RUTKOWSKI Jinde CAO School of Mathematics Southeast University Jiangsu Provincial Key Laboratory of Networked Collective Intelligence Southeast University Intelligent Transportation System Research Center Southeast University Systems Research Institute of the Polish Academy of Sciences Institute of Computer Science AGH University of Science and Technology Information Technology Institute University of Social Sciences Yonsei Frontier Lab Yonsei University

Rutting deformation is typical damage to asphalt pavement and can be quantitatively described as the time-varying mechanical deformation feature of the asphalt mixture during the creep process. First,a nonlinear viscoelastic creep model is established based on the Caputo variable-order fractional *** fractional order in this model is not fixed and is defined as a time-varying function. The time-dependent mechanical properties of asphalt mixtures are efectively reflected. Based on the modified Burgers model, the variable-order function is revised to a linear form. Second, the variable-order fractional Burgers rutting model is obtained by fitting the test data of the RIOHTrack full-scale track. The Levenberg-Marquardt optimization algorithm is used to analyze the test data and the corresponding parameters to obtain more accurate and applicable variable-order fractional rutting mechanics and empirical models for diferent asphalt pavement structures. Finally, according to the classification of the pavement structure, structures III and VI are taken as examples. The rutting prediction and comparison results of several representative pavement structures are obtained to verify that the proposed rutting prediction model can also accurately predict all road sections of RIOHTrack. The new model is also compared with the rutting model of the mechanistic-empirical pavement design guide, the fractional-order Burgers rutting model, and the modified Burgers rutting model. The fitting results are evaluated using the determination coefficient R2. The results show that the variable-order fractional Burgers rutting model proposed in this study exhibits a better fit and is more applicable to describe the rutting deformation of asphalt pavement.

关键词： RIOHTrack full-scale track Caputo fractional derivative variable-order fractional modified Burgers model rutting prediction

SEMILINEAR HEMIVARIATIONAL INEQUALITIES WITH STRONG RESONANCE AT INFINITY

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Acta Mathematica Scientia 2006年第1期26卷 59-73页

作者： Michael Filippakis leszek Gasi■ski Nikolaos S.Papageorgiou Department of Mathematics National Technical University Zografou CampusAthens 15780Greece Institute of Computer Science Jagiellonian University ul.Nawojki 1130072 CracowPoland

A semilinear elliptic equation with strong resonance at infinity and with a nonsmooth potential is studied. Using nonsmooth critical point theory and developing some abstract minimax principles which complement and ex... 详细信息

关键词： Strong resonance hemivariational inequality Laplacian principal eigenvalue locally Lipschitz function Clarke subdifferential nonsmooth criticalpoint theory

MULTIPLE SOLUTIONS FOR NONAUTONOMOUS SECOND ORDER PERIODIC SYSTEMS

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Acta Mathematica Scientia 2010年第1期30卷 350-358页

作者： Zdzislaw Denkowski leszek Gasiński Nikolaos S.Papageorgiou Institute of Computer Science Jagiellonian University Department of Mathematics National Technical UniversityZografou CampusAthens 15780Greece

We study nonautonomonus second order periodic systems with a nonslnooth potential. Using the nonsmooth critical theory, we establish the existence of at least two nontrivial solutions. Our framework incorporates large... 详细信息

关键词： locally Lipschitz potential generalized subdifferentiM coercive functional critical point local linking theorem nonsmooth Palais-Smale condition multiple nontrivial solutions

Home range establishment and utilization by reintroduced lions(Panthera leo)in a small South African wildlife reserve

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Integrative Zoology 2017年第4期12卷 318-332页

作者： Sze-Wing YIU Francesca PARRINI leszek KARCZMARSKI Mark KEITH The Swire Institute of Marine Science School of Biological Sciencesthe University of Hong KongHong Kong SARChina Centre for African Ecology School of AnimalPlant and Environmental SciencesUniversity of the WitwatersrandJohannesburgSouth Africa Centre for Wildlife Management Department of Animal and Wildlife SciencesUniversity of PretoriaPretoriaSouth Africa

Understanding of animal spatial behavior is essential for informed management *** southern Africa,reintroduction of lions(Panthera leo)to small reserves(60 separate visits)around the largest dam and along rivers suggest the importance of water and its surrounding vegetation in the lions’space utilization *** home range size did not differ with season or sex of the individuals,whereas shifts in locations of home ranges revealed differences in the response of the 2 sexes to territorial conflicts and management *** study shows a dynamic home range utilization pattern and highlights the importance of both fine-scale space use patterns(frequency and duration of visits)and broadscale home range changes in understanding the ranging behavior of reintroduced animals.

关键词： carnivore movement space use T-LoCoH utilization distribution

Changes in Lake Ice Cover on the Morskie Oko Lake in Poland(1971-2007)

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Advances in Climate Change Research 2010年第2期1卷 71-75页

作者： Adam Choiński leszek Kolendowicz Joanna Pociask-Karteczka leszek Sobkowiak Institute of Physical Geography and Environmental Planning Institute of Geography and Spatial Management

On the basis of data from the period 1971-2007, and by applying trend analysis, a study on formation, disappearance and duration of lake ice cover on the Morskie Oko Lake in the Tatra Mountains in southern Poland was carried out. The results show decreasing trends in the maximum thickness of winter lake ice cover and in duration of lake ice phenomena, while air temperature recorded at the same period at the foot of the Tatra Mountains shows increasing trend. There are strong relationships between the course of lake ice phenomena and air temperature.

关键词： lake ice cover thickness duration of lake ice phenomena air temperature

Effects of stand features and soil enzyme activity on spontaneous pedunculate oak regeneration in Scots pine dominated stands – implication for forest management

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Forest Ecosystems 2021年第3期8卷 566-582页

作者： Dobrowolska Dorota Kurek Przemysław Olszowska Grażyna leszek Bolibok Forest Research Institute Sękocin StaryBraci Leśnej 305-090 RaszynPoland Adam Mickiewicz University in Poznań Umultowska 8961-614 PoznańPoland Department of Silviculture Institute of Forest SciencesLife Sciences University in WarsawNowoursynowska 159/3402-776 WarszawaPoland.

Background:A challenge in current forestry is adaptation of managed forests to climate change,which is likely to alter the main processes of forest dynamics,*** *** pine will probably lose some parts of its distribution area in ***,two native oaks,pedunculate and sessile may maintain or expand the area of their occurrence in central *** utilization of spontaneous(not initialized by foresters)oak regeneration in Scots pine stands for the creation of next generation stands is one of the adaptation methods to climate *** factors influencing pedunculate oak regeneration are well known,but there is a lack of knowledge on the relation between soil enzyme activity and the establishment and development of the *** aim of the study was to identify the relationships among stand characteristics,herb species composition,soil enzyme activity and the establishment or recruitment of oak regeneration in Scots pine-dominated ***:The one of the most influential factors shaping the oak seedling count was dehydrogenase activity in the humus *** found that plots without litter and fern cover had higher seedling *** raspberry ground cover and birch crown projection area had a positive influence on oak seedling *** factor indicating good conditions for high density of oak saplings was phosphatase activity in the organic *** same enzyme activity but in humus horizon described conditions in which more numerous recruits were ***:The activity of soil enzymes can be used as the predictor of the establishment and advancement of oak regeneration but also could be seen as a new dimension of oak *** general density of spontaneous oak regeneration was not sufficient for the creation of new generation forest stands dominated by oak,but it is possible to use them as admixtures in new generation stands.

关键词： Forest stand conversion Spontaneous regeneration Regeneration niche Dehydrogenase Phosphatase

Determination of Surface Precipitation Type Based on the Data Fusion Approach

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Advances in Atmospheric Sciences 2021年第3期38卷 387-399页

作者： Marek PÓŁROLNICZAK leszek KOLENDOWICZ Bartosz CZERNECKI Mateusz TASZAREK Gabriella TÓTH Department of Meteorology and Climatology Institute of Physical Geography and Environmental PlanningAdam Mickiewicz University61-680 PoznańPoland Department of Weather Forecasting and Climatology Hungarian Meteorological ServiceH-1024 BudapestHungary

Hazardous events related to atmospheric precipitation depend not only on the intensity of surface precipitation,but also on its *** related to determination of the precipitation type(PT)leads to financial losses in many areas of human activity,such as the power industry,agriculture,transportation,and many *** this study,we use machine learning(ML)algorithms with the data fusion approach to more accurately determine surface *** on surface synoptic observations,ERA5 reanalysis,and radar data,we distinguish between liquid,mixed,and solid precipitation *** study domain considers the entire area of Poland and a period from 2015 to *** purpose of this work is to address the question:“How can ML techniques applied in observational and NWP data help to improve the recognition of the surface PT?”Despite testing 33 parameters,it was found that a combination of the near-surface air temperature and the depth of the warm layer in the 0-1000 m above ground level(AGL)layer contains most of the signal needed to determine surface *** accrued probability of detection for liquid,solid,and mixed PTs according to the developed Random Forest model is 98.0%,98.8%,and 67.3%,*** application of the ML technique and data fusion approach allows to significantly improve the robustness of PT prediction compared to commonly used baseline models and provides promising results for operational forecasters.

关键词： precipitation type forecast data fusion Random Forest ERA5 Poland

Unboundedness properties of smoothness Morrey spaces of regular distributions on domains

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Science China Mathematics 2017年第12期60卷 2349-2376页

作者： HAROSKE Dorothee D. MOURA Susana D. SCHNEIDER Cornelia SKRZYPCZAK leszek Institute of Mathematics Friedrich Schiller University Jena CMUC Department of Mathematics University of Coimbra Mathematics Department Friedrich-Alexander University Erlangen-Nremberg Faculty of Mathematics and Computer Science Adam Mickiewicz University

We study unboundedness of smoothness Morrey spaces on bounded domains ? ? R^n in terms of growth envelopes. It turns out that in this situation the growth envelope function is finite—in contrast to the results obtained by Haroske et al.(2016) for corresponding spaces defined on R^n. A similar effect was already observed by Haroske et al.(2017), where classical Morrey spaces M_(u,p)(?) were investigated. We deal with all cases where the concept is reasonable and also include the tricky limiting cases. Our results can be reformulated in terms of optimal embeddings into the scale of Lorentz spaces L_(p,q)(?).

关键词： Morrey spaces Besov spaces Triebel-Lizorkin spaces growth envelopes atomic decompositions inequalities

ON NONLINEAR ELLIPTIC HEMIVARIATIONAL INEQUALITIES OF SECOND ORDER

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Acta Mathematica Scientia 2004年第3期24卷 451-462页

作者： leszek Gasinski Nikolaos S.Papageorgiou Institute of Computer Science Jagiellonian University ul. Nawojki 11 30072 Cracow PolandDepartment of Mathematics National Technical University Zografou Campus Athens 15780 Greece

In this paper, a nonlinear hemivariational inequality of second order with a forcing term of subcritical growth is studied. Using techniques from multivalued analysis and the theory of nonlinear operators of monotone ... 详细信息

关键词： Locally Lipschitz function Clarke subdifferential measurable selection pseudomonotone operator generalized coercive operator Rayleigh quotient surject operator