Classical spin liquids (CSLs) are intriguing states of matter that do not exhibit long-range magnetic order and are characterized by an extensive ground-state degeneracy. Adding quantum fluctuations, which induce dyna...
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In this paper, we investigate the partial regularity of suitable weak solutions to the multi- dimensional stationary Navier-Stokes equations with fractional power of the Laplacian （-△）^α （n/6 ≤α〈1 and a ≠ 1/2...
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In this paper, we investigate the partial regularity of suitable weak solutions to the multi- dimensional stationary Navier-Stokes equations with fractional power of the Laplacian （-△）^α （n/6 ≤α〈1 and a ≠ 1/2）. It is shown that the n ＋ 2 - 6α （3 ≤ n ≤5） dimensional Hausdorff measure of the set of the possible singular points of suitable weak solutions to the system is zero, which extends a recent result of Tang and Yu [19] to four and five dimension. Moreover, the pressure in ε-regularity criteria is an improvement of corresponding results in [1, 13, 18, 20].
The mathematical modelling of growing filamentous cells has been approached in a variety of ways ranging from simple geometric to biomechanically based models using exact, nonlinear, elasticity theory for shells and m...
The airborne electromagnetic method is a geophysical remote sensing technique for mapping the electrical conductivity of the earth. The primary magnetic field of a transmitter is varied, inducing a current in the grou...
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The rapidly growing field of single-cell transcriptomic sequencing (scRNAseq) presents challenges for data analysis due to its massive datasets. A common method in manifold learning consists in hypothesizing that data...
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ISBN:
(数字)9798350368741
ISBN:
(纸本)9798350368758
The rapidly growing field of single-cell transcriptomic sequencing (scRNAseq) presents challenges for data analysis due to its massive datasets. A common method in manifold learning consists in hypothesizing that datasets lie on a lower dimensional manifold. This allows to study the geometry of point clouds by extracting meaningful descriptors like curvature. In this work, we will present Adaptive Local PCA (AdaL-PCA), a data-driven method for accurately estimating various notions of intrinsic curvature on data manifolds, in particular principal curvatures for surfaces. The model relies on local PCA to estimate the tangent spaces. The evaluation of AdaL-PCA on sampled surfaces shows state-of-the-art results. Combined with a PHATE embedding, the model applied to single-cell RNA sequencing data allows us to identify key variations in the cellular differentiation.
Wavelet transforms and machine learning tools can be used to assist art experts in the stylistic analysis of paintings. A dual-tree complex wavelet transform, Hidden Markov Tree modeling and Random Forest classifiers ...
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This study addresses the parameter identification problem in a system of time-dependent quasi-linear partial differential equations(PDEs).Using the integral equation method,we prove the uniqueness of the inverse probl...
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This study addresses the parameter identification problem in a system of time-dependent quasi-linear partial differential equations(PDEs).Using the integral equation method,we prove the uniqueness of the inverse problem in nonlinear ***,using the method of successive approximations,we develop a novel iterative algorithm to estimate sorption *** stability results of the algorithm are proven under both a priori and a posteriori stopping rules.A numerical example is given to show the efficiency and robustness of the proposed new approach.
This paper proposes the SISRS epidemic model to represent alcohol addiction among *** spreading of alcohol addiction is controlled by creating awareness among the people and also by treating them to overcome *** netwo...
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This paper proposes the SISRS epidemic model to represent alcohol addiction among *** spreading of alcohol addiction is controlled by creating awareness among the people and also by treating them to overcome *** network is used to study the dynamics of *** spreads over the physical contact layer and follows the SISRS process whereas human awareness spreads over the virtual contact layer and follows the UAU *** on the Microscopic Markov Chain Approach competing dynamics of spreading of alcohol addiction and human awareness diffusion are *** conditions for the existence of an alcohol-free population are *** optimal control problem using a suitable cost index is formulated to reduce the alcohol addicts and the optimal control strategy using Pontryagin’s Minimum Principle is *** results are developed to find the effect of various parameters and to analyze the effects of different control *** results obtained from this model are closer to the data collected in the National Survey of Drug Use and Health(NSDUH)from 2002 to 2018.
In the case where the knowledge of goal states is not known, the controllers are constructed to stabilize unstable steady states for a coupled dynamos system. A delayed feedback control technique is used to suppress c...
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In the case where the knowledge of goal states is not known, the controllers are constructed to stabilize unstable steady states for a coupled dynamos system. A delayed feedback control technique is used to suppress chaos to unstable focuses and unstable periodic orbits. To overcome the topological limitation that the saddle-type steady state cannot be stabilized, an adaptive control based on LaSalle＇s invariance principle is used to control chaos to unstable equilibrium （i.e. saddle point, focus, node, etc.）. The control technique does not require any computer analysis of the system dynamics, and it operates without needing to know any explicit knowledge of the desired steady-state position.
The aerodynamics of freely falling objects is one of the most interesting flow mechanics *** a recent study,Andersen,Pesavento,and Wang[*** Mech.,vol.541,pp.65-90(2005)]presented the quantitative comparison between th...
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The aerodynamics of freely falling objects is one of the most interesting flow mechanics *** a recent study,Andersen,Pesavento,and Wang[*** Mech.,vol.541,pp.65-90(2005)]presented the quantitative comparison between the experimental measurement and numerical *** rich dynamical behavior,such as fluttering and tumbling motion,was ***,obvious discrepancies between the experimental measurement and numerical simulations still *** the current study,a similar numerical computation will be conducted using a newly developed unified coordinate gas-kinetic method[***,vol.222,pp.155-175(2007)].In order to clarify some early conclusions,both elliptic and rectangular falling plates will be *** the experimental condition,the numerical solution shows that the averaged translational velocity for both rectangular and elliptical plates are almost identical during the tumbling ***,the plate rotation depends strongly on the shape of the *** this study,the details of fluid forces and torques on the plates and plates movement trajectories will be presented and compared with the experimental measurements.
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