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Positive Solution of Singularly Perturbed Dirichlet Problem with Singularities

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Acta Mathematicae Applicatae Sinica 2014年第3期30卷 611-616页

作者： Li-hua CHEN jia-qi mo Department of Mathematics and Computer Science Fuqing Branch of Fujian Normal University Anhui Normal University Faculty of Science Huzhou Teacher College

A class of singularly perturbed boundary value problem with singularities is considered. Introducing the stretched variables, the boundary layer corrective terms near x = 0 and x = 1 are constructed. Under suitable conditions, by using the theory of differential inequalities the existence and asymptotic behavior of solution for boundary value problem are proved, uniformly valid asymptotic expansion of solution with boundary layers are obtained,

关键词： nonlinear singular equation singular perturbation boundary value problem

Asymptotic Solution of Nonlinear Nonlocal Singularly Perturbed Reaction Diffusion Problems with Two Parameters

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Acta Mathematicae Applicatae Sinica 2012年第3期28卷 583-590页

作者： Zai-ying ZHOU jia-qi mo Department of Mathematics Anhui Normal UniversityWuhu 241000China

A class of differential-difference reaction diffusion equations initial boundary problem with a small time delay is considered. Under suitable conditions and by using method of the stretched variable, the formal asymptotic solution is constructed. And then, by using the theory of differential inequalities the uniformly validity of solution is proved.

关键词： nonlinear reaction diffusion singular perturbation time delay

The Nonlinear Singularly Perturbed Initial Boundary Value Problems of Nonlocal Reaction Diffusion Systems

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Acta Mathematicae Applicatae Sinica 2006年第2期22卷 277-286页

作者： jia-qi mo Wan-tao Lin Department of Mathematics Huzhou Teachers College Huzhou 313000 China Division of Computational Science E-Institutes of Shanghai Universities at SJTU Shanghai 200240 China LASC Institute of Atmosheric Physics Chinese Academy of Sciences Beijing 100029 China

In this paper the singularly perturbed initial boundary value problems for the nonlocal reaction diffusion system are considered. Using the iteration method and the comparison theorem, the existence and its asymptotic... 详细信息

关键词： Reaction diffusion system singular perturbation initial boundary value problem

A Class of Nonlinear Singularly Perturbed Problems for Reaction Diffusion Equations with Boundary Perturbation

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Acta Mathematicae Applicatae Sinica 2006年第1期22卷 27-32页

A class of nonlinear singularly perturbed problems for reaction diffusion equations with boundary perturbation are considered. Under suitable conditions, the asymptotic behavior of solution for the initial boundary va... 详细信息

关键词： Nonlinear reaction diffusion singular perturbation ,boundary perturbation

Shock Wave Solution for a Class of Nonlocal Nonlinear Singularly Perturbed Boundary Value Problems with Turning Point

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Acta Mathematicae Applicatae Sinica 2015年第3期31卷 701-706页

作者： Xiang-lin HAN Wan-tao LIN Zeng-ji DU jia-qi mo Huzhou Teachers College State Key Laboratory of Numerical modeling for Atmospheric Sciences and Geophysical Fluid Dynamic Institute of Atmospheric Physics Chinese Academy of Sciences School of Mathematical Sciences Xuzhou Normal University Department of Mathematics Anhui Normal University

The nonlocal nonlinear boundary value problem with turning point is considered. Leading the stretched variables the formal asymptotic solution of the original problem is constructed. And by using the theory of differential inequalities the existence and uniformly validity of solution for the original boundary value problems are proved. The contribution of this paper is that, the asymptotic behavior of solution is studied by using a simple and special method.

关键词： turning point nonlocal nonlinear singular perturbation shock wave

Geometric Constraints for Global Regularity of 3D Shear Thickening Fluids

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Acta Mathematicae Applicatae Sinica 2024年第1期40卷 205-210页

作者： jia-qi Yang Research&Development Institute of Northwestern Polytechnical University in Shenzhen Shenzhen518063China Key Laboratory for Mechanics in Fluid Solid Coupling Systems Institute of MechanicsChinese Academy of SciencesBeijing100190China

We consider the relation between the direction of the vorticity and the global regularity of 3D shear thickening *** is showed that a weak solution to the non-Newtonian incompressible fluid in the whole space is stron... 详细信息

关键词： direction of the vorticity non-Newtonian fluid global regularity

Temporal and spatial regulation of biomimetic vascularization in 3D-printed skeletal muscles

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Bio-Design and Manufacturing 2024年第5期7卷 597-610页

作者： Minxuan jia Tingting Fan Tan jia Xin Liu Heng Liu qi Gu Key Laboratory of Organ Regeneration and Reconstruction State Key Laboratory of Membrane BiologyInstitute of ZoologyChinese Academy of SciencesBeijing 100101China Beijing Institute for Stem Cell and Regenerative Medicine Beijing 100101China University of Chinese Academy of Sciences Beijing 100049China State Key Laboratory of Stem Cell and Reproductive Biology Institute of ZoologyChinese Academy of SciencesBeijing 100101China Department of Orthopaedics Beijing Jishuitan HospitalCapital Medical UniversityBeijing 100035China

In the intricate skeletal muscle tissue,the symbiotic relationship between myotubes and their supporting vasculature is pivotal in delivering essential oxygen and *** study explored the complex interplay between skeletal muscle and endothelial cells in the vascularization ofmuscle *** harnessing the capabilities of three-dimensional(3D)bioprinting and modeling,we developed a novel approach involving the co-construction of endothelial and muscle cells,followed by their subsequent *** findings highlight the importance of the interaction dynamics between these two cell ***,introducing endothelial cells during the advanced phases of muscle differentiation enhanced myotube ***,it stimulated the development of the vascular network,paving the way for the early stages of vascularized skeletal muscle *** methodology proposed in this study indicates the potential for constructing large-scale,physiologically aligned skeletal ***,it highlights the need for exploring the delicate equilibrium and mutual interactions between muscle and endothelial *** on the multicell-type interaction model,we can predict promising pathways for constructing even more intricate tissues or organs.

关键词： Skeletal muscle Vascularization 3D bioprinting Cell interaction

Research on blade tip clearance cavitation and turbulent kinetic energy characteristics of axial flow pump based on the partially-averaged Navier-Stokes model

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Journal of Hydrodynamics 2024年第1期36卷 184-201页

作者： Xiao-qi jia Shuai-kang Zhang Zu-chao Zhu Key Laboratory of Fluid Transmission Technology of Zhejiang Province Zhejiang Sci-Tech UniversityHangzhou310018China

To reveal the cavitation forms of tip leakage vortex(TLV)of the axial flow pump and the flow mechanism of the flow field,this research adopts the partially-averaged Navier-Stokes(PANS)model to simulate the cavitation values of an axial flow pump,followed by experimental *** experimental result shows that compared with the shear stress transport(SST)k-ωmodel,the PANS model significantly reduces the eddy viscosity of the flow field to make the vortex structure clearer and allow the turbulence scale to be more robustly *** cavitation area within the axial flow pump mainly comprises of TLV cavitation,clearance cavitation and tip leakage flows combined effect of triangular cloud cavitation *** formation and development of cavitation are accompanied by the formation and evolution of vortex,and variations in vortex structure also generate and promote the development of *** addition,an in-depth analysis of the relationship between the turbulent kinetic energy(TKE)transport equation and cavitation patterns was also conducted,finding that the regions with relatively high TKE are mainly distributed around gas/liquid boundaries with serious cavitation and evident gas-liquid *** phenomenon is mainly attributed to the combined effect of the pressure action term,stress diffusion term and TKE production term.

关键词： Cavitation axial flow pump tip leakage vortex(TLV) partially-averaged Navier-Stokes(PANS)model turbulent kinetic energy(TKE)

Transforming Adolescent Smiles:Correcting Skeletal Mandibular Retrusion and Bimaxillary Protrusion with Clear Aligners

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Current Medical Science 2024年第3期44卷 657-666页

作者： Wen-jie FAN jia-qi ZHANG jia-qi ZHAN Li HU Li-li CHEN Department of Stomatology Union HospitalTongji Medical CollegeHuazhong University of Science and TechnologyWuhan430022China School of Stomatology Tongji Medical CollegeHuazhong University of Science and TechnologyWuhan430030China Wuhan National High Magnetic Field Center Wuhan430074China The Affiliated Lianyungang Hospital of Xuzhou Medical University/The First People’s Hospital of Lianyungang Lianyungang222000China The First Affiliated Hospital of Kangda College of Nanjing Medical University/The First People’s Hospital of Lianyungang Lianyungang222000China

Maxillary protrusion combined with mandibular retraction is a highly prevalent but extremely complex maxillofacial deformity that can have a serious negative impact on patients’facial aesthetics and mental *** traditional orthodontic treatment strategy often involves extracting 4 first premolars and conventional fixed techniques,combined with mini-implant screws,to retract the anterior teeth and improve facial *** recent years,an invisible orthodontic technique,without brackets,has become increasingly ***,while an invisible aligner has been used in some cases with reasonable results,there remain significant challenges in achieving a perfect *** case report presents an adolescent patient with bimaxillary protrusion and mandibular *** on the characteristics of the invisible aligners and the growth characteristics of the adolescent’s teeth and jawbone,we designed precise three-dimensional tooth movement and corresponding resistance/over-correction for each tooth,while utilizing the patient’s jawbone growth potential to promote rapid development of the mandible,accurately and efficiently correcting bimaxillary protrusion and skeletal mandibular *** patient’s facial aesthetics,especially the lateral morphology,have been greatly improved,and various aesthetic indicators have also shown significant changes,and to the patient’s great benefit,invasive mini-implant screws were not used during the *** case highlights the advantages of using invisible aligners in adolescent maxillary protrusion combined with mandibular retraction ***,comprehensive and accurate design combined with good application of growth potential can also enable invisible orthodontic technology to achieve perfect treatment effects in tooth extractions,providing clinical guidance for orthodontists.

关键词： mandibular retrusion esthetic orthodontic treatment clear aligners growth potential