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Symmetrization for Fractional Elliptic and Parabolic Equations and an Isoperimetric Application(Dedicated to Haim Brezis,great master of analysis,on his 70th birthday)

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Chinese Annals of Mathematics,Series B 2017年第2期38卷 661-686页

作者： Yannick sire Juan Luis VAZQUEZ Bruno VOLZONE johns hopkins university Krieger Hall3401 N.Charles StBaltimoreM D21218USA. departamento de matemticas universidad autnoma de madrid28049 M adridSpain dipartimento di ingegneria universit degli studi di napoli"parthenope"80143 Italia.

This paper develops further the theory of symmetrization of fractional Laplacian operators contained in recent works of two of the authors. This theory leads to optimal estimates in the form of concentration comparison inequalities for both elliptic and parabolic equations. The authors extend the theory for the so-called restricted fractional Laplacian defined on a bounded domain Ω of R^N with zero Dirichlet conditions outside of Ω. As an application, an original proof of the corresponding fractional Faber-Krahn inequality is derived. A more classical variational proof of the inequality is also provided.

关键词： Symmetrization, Fractional Laplacian, Nonlocal elliptic and parabolicequations, Faber-Krahn inequality

On Well-Posedness of 2D Dissipative Quasi-Geostrophic Equation in Critical Mixed Norm Lebesgue Spaces

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Analysis in Theory and Applications 2020年第2期36卷 111-127页

作者： Tuoc Phan Yannick sire Department of Mathematics University of Tennessee227 Ayres Hall1403 Circle DriveKnoxvilleTN 37996-1320USA Department of Mathematics Johns Hopkins University404 Krieger Hall 3400 N.Charles StreetBaltimoreMD 21218USA

We establish local and global well-posedness of the 2D dissipative quasigeostrophic equation in critical mixed norm Lebesgue *** result demonstrates the persistence of the anisotropic behavior of the initial data under the evolution of the 2D dissipative quasi-geostrophic *** phenomenon is a priori nontrivial due to the nonlocal structure of the *** approach is based on Kato’s method using Picard’s interation,which can be apdated to the multi-dimensional case and other nonlinear non-local *** develop time decay estimates for solutions of fractional heat equation in mixed norm Lebesgue spaces that could be useful for other problems.

关键词： Local well-posedness global well-posedness dissipative quasi-geostrophic equation fractional heat equation mixed-norm Lebesgue spaces

Regularity of Inhomogeneous Quasi-Linear Equations on the Heisenberg Group

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Analysis in Theory and Applications 2021年第4期37卷 520-540页

作者： Shirsho Mukherjee Yannick sire Department of Mathematics University of BolognaPiazza di Porta San Donato 540126-Bologna(BO)Italy Department of Mathematics Johns Hopkins University3400 N.Charles StreetBaltimore MD 21218USA

We establish Holder continuity of the horizontal gradient of weak solu-tions to quasi-linear p-Laplacian type non-homogeneous equations in the Heisenberg Group.

关键词： Non-homogeneous

Prediction of mechanical properties of Al alloys with change of cooling rate

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China Foundry 2012年第4期9卷 381-386页

作者： Quan-Zhi Dong Young-sire Choi Jun-Ho Hong Ho-Young Hwang Dept.of Virtual Engineering University of Science and TechnologyIncheon 406-840Korea e-Design Center Korea Institute of Industrial TechnologyIncheon 406-840Korea

The solidification process significantly affects the mechanical properties and there are lots of factors that affect the solidification *** progress has been made in the research on the effect of solidification on mechanical *** them,the PF(Phase Field) model and CA(Cellular Automata) model are widely used as simulation methods which can predict nucleation and its growth,and the size and morphology of the grains during *** they can give accurate calculation results,it needs too much computational memory and calculation *** it is difficult to apply the simulation to the real production *** this study,a more practical simulation approach which can predict the mechanical properties of real aluminum alloys is proposed,by identifying through experiment the relationship between cooling rate and SDAS(Secondary Dendrite Arm Spacing) and mechanical *** experimentally measured values and the values predicted by simulation have relatively small differences and the mechanical properties of a variety of Al alloys are expected to be predicted before casting through use of the simulation.

关键词： mechanical properties dendrite structure aluminum alloy cooling rate solidification castingsimulation

Optimization of transdisciplinary management of elderly with femur proximal extremity fracture:A patient-tailored plan from orthopaedics to rehabilitation

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World Journal of Orthopedics 2021年第7期12卷 456-466页

作者： Alessandro de sire Marco Invernizzi Alessio Baricich Lorenzo Lippi Antonio Ammendolia Federico Alberto Grassi Massimiliano Leigheb Department of Medical and Surgical Sciences University of Catanzaro“Magna Graecia”Catanzaro 88100Italy Physical Medicine and Rehabilitation Department of Health SciencesUniversity of Piemonte OrientaleNovara 28100Italy Infrastruttura Ricerca Formazione Innovazione Azienda Ospedaliera SS.Antonio e Biagio e Cesare ArrigoAlessandria 15121Italy Orthopaedics and Traumatology Unit Department of Health SciencesUniversity of Piemonte OrientaleNovara 28100Italy

Fractures of femur proximal extremity(FFPE)are the most common fragility fractures requiring hospitalization,with a high risk of mortality,low independence in the activities of daily living and severe consequences on healthrelated quality of *** for surgery has a key role in the management of elderly patients with FFPE as recommended by the Australian and New Zealand guidelines and the National Institute for Health and Care Excellence *** surgery(within 48 h from hospital admission)allows significant benefits in terms of lower rates of postoperative complications and risk of death and can provide better functional ***,time for surgery could be considered as a comorbidity *** choice between conservative or surgical approach surprisingly seems to be still not strongly supported by available literature,but it seems that both 30 d and 1 year risk of mortality is higher with the conservative treatment rather than with *** light of these considerations,the optimization of FFPE management care is mandatory to improve functional outcomes and to reduce sanitary *** it is widely accepted that transdisciplinary approach to patients suffering from FFPE is mandatory to optimize both short-term and long-term outcomes,the feasibility of a comprehensive approach in clinical practice is still a *** particular,the large variability of figures involved could be considered both a resource and an additional disadvantage taking into account the difficulty to coordinate multidisciplinary approach covering care in all ***,the aim of the present article was to summarize current evidence supporting transdisciplinary management of patients with FFPE,highlighting the benefits,feasibility and limitations of this approach.

关键词： Transdisciplinary management Elderly Femur fracture Hip fracture Rehabilitation Pathway

Mirror Exposure and High-Fat Sauces Consumption in a University Cafeteria

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Food and Nutrition Sciences 2011年第6期2卷 613-617页

作者： Nicolas Guéguen Virginie Charles-sire Universite de Bretagne-Sud

A host of health problems are associated with consumption of refined sugar. Sauces such as ketchup, mayonnaise... contained higher level of refined sugar. Using behavioural influence techniques it could be possible to encourage consumer to reduce their consumption of refine sugar. In this study, the mirror exposure procedure was used in order to decrease students’ sauces consumption in a university cafeteria. A mirror was stand or not in a self-service area with various sauces (mayonnaise, ketchup, mustard). People were unobtrusively observed and noticed which of the sauces was taken by each customer and the number of times the customer pressed on the sauce dispenser in order to obtain one dose of sauce. In the mirror exposure, the observers noted if the customer looked at the mirror when using the sauce dispenser. Results showed a decrease in consumption but only with individuals who look at them when using the sauce-dispensers. In a field setting, it was found that the mirror technique is an efficient method to decrease sauce consumption, and by extension, the consumption of refined sugar. The practical and the theoretical interest of this procedure are discussed.

关键词： Mirror Exposure Self-Perception Behavioral Change Diet Sauces Refined Sugar

Finite element simulation of food transport through the esophageal body

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World Journal of Gastroenterology 2007年第9期13卷 1352-1359页

作者： Wei Yang Tat Ching Fung Kerm sire Chian Chuh Khiun Chong School of Civil and Environmental Engineering Nanyang Technological University Singapore School of Mechanical and Aerospace Engineering Nanyang Technological University Singapore School of Chemical and Tissue Engineering Nanyang Technological University Singapore

The peristaltic transport of swallowed material in the esophagus is a neuro-muscular function involving the nerve control, bolus-structure interaction, and structure-mechanics relationship of the tissue. In this study, a finite element model (FEM) was developed to simulate food transport through the esophagus. The FEM consists of three components, i.e., tissue, food bolus and peristaltic wave, as well as the interactions between them. The transport process was simulated as three stages, i.e., the filling of fluid, contraction of circular muscle and traveling of peristaltic wave. It was found that the maximal passive intraluminal pressure due to bolus expansion was in the range of 0.8-10 kPa and it increased with bolus volume and fluid viscosity. It was found that the highest normal and shear stresses were at the inner surface of muscle layer. In addition, the peak pressure required for the fluid flow was predicted to be 1-15 kPa at the bolus tail. The diseases of systemic sclerosis or osteogenesis imperfecta, with the remodeled microstructures and mechanical properties, might induce the malfunction of esophageal transport. In conclusion, the current simulation was demonstrated to be able to capture the main characteristics in the intraluminal pressure and bolus geometry as measured experimentally. Therefore, the finite element model established in this study could be used to further explore the mechanism of esophageal transport in various clinical applications.

关键词： Food transport Finite element simulation Esophagus

Geotechnical Characterization of Termite Mound Soils of Congo

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Open Journal of Civil Engineering 2022年第3期12卷 370-389页

作者： Louis Ahouet Mondésire Odilon Ngoulou Sylvain Ndinga Okina Sorel Dzaba Higher Institute of Architecture Urbanism Building and Public Works Denis Sassou Nguesso University Brazzaville Congo Laboratory of Materials and Energies (LME) Faculty of Sciences and Technics Marien Ngouabi University Brazzaville Congo Higher Polytechnic National School (ENSP) Marien Ngouabi University Brazzaville Congo Building and Publics Works Control Office (BCBTP) Brazzaville Congo

This study is to determine the activities and correlations in the fundamental properties of the termite mounds soils Cubitermes spp and Macrotermes sp. The Intrinsic properties depend on the mineralogy, organic composition and texture of soil. Grain size, Atterberg limits and soil blue values are geotechnical properties that were used to characterize the two soils. On the basis of the geotechnical properties, specific surface area, cation exchange capacity, relative activity, surface activity and soil activity were determined. The correlations obtained in the intrinsic soil properties are linear and polynomial fits. Indeed, the relationship between the plasticity index and the blue value of a soil on the one hand and between the specific surface area and the cation exchange capacity on the other hand, is a linear fit for all soils in general. The relationship between plasticity index and specific surface area is a linear fit for the soils (C, M). Correlations in intrinsic soil properties that have a coefficient of determination close to 1 can be used in geotechnical engineering to predict one of the two desired parameters.

关键词： Activity Relative Activity Surface Activity Cation Exchange Capacity Specific Surface Termite Mound Soil

Effect of Substrates on the Mycorrhization and Growth of <i>Saba senegalensis</i>under Semi-Controlled Conditions

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American Journal of Plant Sciences 2019年第9期10卷 1612-1622页

作者： Paul Diouf sire Diedhiou Dioumacor Fall Daouda Ngom Mariama Dalanda Diallo Ibrahima Ndoye Agroforestry Department Assane Seck University Ziguinchor Senegal Senegalese Institute of Agricultural Research Dakar Senegal Plant Biology Department Cheikh Anta Diop University Dakar Senegal Agronomic Sciences of Aquaculture and Food Technology UFR UGB Saint-Louis Sénégal

Saba senegalensis is a wild edible fruit plant species with a high economic potential which can be used to fight food insecurity in rural areas and to reduce poverty. Domestication programs are being carried out to boost production. However, no studies have been done to determine the optimal soil properties for growing S. senegalensis. This study was carried out to determine the effects of the physical and chemical properties of different substrates on the mycorrhization and growth of S. senegalensis under semi-controlled conditions. S. senegalensis seeds were grown for 4 months in the nursery using five substrates: S1 (1/2 sand + 1/2 potting soil), S2 (1/3 sand + 2/3 potting soil), S3 (2/3 sand + 1/3 potting soil), S4 (potting soil) and S5 (sand). The intensity of mycorrhization was highest for plants grown on substrates with a lowest clay, silt, and nutrient content S3 (29.5%) and S5 (23.5%) respectively. Substrates with much higher clay and silt content stimulated better the growth of S. senegalensis than substrates with lower silt clay and nutrient content. In the context of domestication, the quality of the substrates could be used to stimulate the mycorrhization and the growth of S. senegalensis and thus quickly produce vigorous plants.

关键词： Mycorrhizal Intensity Nursery Physicochemical Properties Wild Fruit