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An investigation on the wind profiles and gravity wave dynamics in MLT region based on the meteor radars from the Meridian Project

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Earth and Planetary Physics 2025年第1期9卷 29-38页

作者： tai liu Zhe Wang MengXi Shi Willie Soon ShiCan Qiu Department of Geophysics College of the Geology Engineering and GeomaticsChang’an UniversityXi’an 710054China Center for Environmental Research and Earth Sciences(CERES) SalemMA 01970USA Institute of Earth Physics and Space Science(ELKH EPSS) 9400SopronHungary

The meteor radar can detect the zenith angle,azimuth,radial velocity,and altitude of meteor trails so that one can invert the wind profiles in the mesosphere and low thermosphere(MLT)region,based on the Interferometric and Doppler *** this paper,the horizontal wind field,gravity wave(GW)disturbance variance,and GW fluxes are analyzed through the meteor radar observation from 2012−2022,at Mohe(53.5°N,122.4°E)and Zuoling(30.5°N,114.6°E)stations of the(Chinese)Meridian *** Lomb−Scargle periodogram method has been utilized to analyze the periodic variations for time series with observational data *** results show that the zonal winds at both stations are eastward dominated,while the meridional winds are southward *** variance of GW disturbances in the zonal and meridional directions increases gradually with height,and there is a strong pattern of annual *** zonal momentum flux of GW changes little with height,showing weak annual *** meridional GW flux varies gradually from northward to southward with height,and the annual periodicity is *** both stations,the maximum values of zonal and meridional wind occur close to the peak heights of GW flux,with opposite *** observational evidence is consistent with the filtering *** horizontal wind velocity,GW flux,and disturbance variance of the GW at Mohe are overall smaller than those at Zuoling,indicating weaker activities in the MLT at *** power spectral density(PSD)calculated by the Lomb−Scargle periodogram shows that there are 12-month period and 6-month period in horizontal wind field,GW disturbance variance and GW flux at both stations,and especially there is also a 4-month cycle in the disturbance *** PSD of the 12-month and 6-month cycles exhibits maximum values below 88 km and above 94 km.

关键词： meteor radar wind field gravity wave Lomb−Scargle method

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The Estimates of All Homogeneous Expansions for a Subclass of Biholomorphic Mappings Which Have Parametric Representation in Several Complex Variables

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Acta Mathematica Sinica,English Series 2017年第2期33卷 287-300页

作者： Xiao Song liu tai Shun liu School of Mathematics and Statistics Lingnan Normal University Department of Mathematics Huzhou Teachers College

In this paper, we obtain the estimates of all homogeneous expansions for a subclass of bi- holomorphic mappings which have parametric representation on the unit ball of complex Banach spaces. Meanwhile, we also establish the estimates of all homogeneous expansions for the above generalized mappings on the unit polydisk in Cn. Especially, the above estimates are only sharp for biholomorphic starlike mappings and starlike mappings of order α under restricted conditions. Our derived results generalize many known results.

关键词： Estimate of homogeneous expansion starlike mapping starlike mapping of order α quasi-convex mapping quasi-convex mapping of type A parametric representation

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ON GREEN'S FUNCTION FOR HYPERBOLIC-PARABOLIC SYSTEMS

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Acta Mathematica Scientia 2009年第6期29卷 1556-1572页

作者： tai-Ping liu Yanni Zeng Department of Mathematics Stanford University Stanford CA 94305 USA Department of Mathematics University of Alabama at Birmingham Birmingham AL 35294 USA

We study the Green＇s function for a general hyperbolic-parabolic system, including the Navier-Stokes equations for compressible fluids and the equations for magnetohydrodynamics. More generally, we consider general systems under the basic Kawashima- Shizuta type of conditions. The first result is to make precise the secondary waves with subscale structure, revealing the nature of coupling of waves pertaining to different characteristic families. The second result is on the continuous differentiability of the Green＇s function with respect to a small parameter when the coefficients of the system are smooth functions of that parameter. The results significantly improve previous results obtained by the authors.

关键词： Green's functions hyperbolic-parabolic systems conservation laws Navier-Stokes equations for compressible fluids

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The Faber Operator Acting on BMOA,BMO-Teichmüller Space and Chord-arc Curves

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Acta Mathematica Sinica,English Series 2024年第10期40卷 2359-2387页

作者： tai Liang liu Yu Liang SHEN Department of Mathematics Soochow UniversitySuzhou 215006P.R.China

After reviewing Grunsky operator and Faber operator acting on Dirichlet space,we discuss the boundedness of Faber operator on BMOA,a new subject which turns out to be closely related to the BMO theory of the universal Teichmüller *** particular,we show that the Faber operator acts as a bounded operator on BMOA if the symbol conformal map stays nearly to the base point in the BMO-Teichmüller ***,we obtain several results on quasiconformal mappings,BMOTeichm¨uller space and chord-arc curves as *** by-products,this provides a complex analysis approach to the boundedness of the Cauchy integral acting on BMO functions on a chord-arc curve near to the unit circle in the BMO-Teichmüller space.

关键词： Faber operator quasiconformal mapping quasicircle BMO-Teichmüller space chord-arc curve Grunsky operator BMO BMOA Carleson measure Cauchy integral

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Distortion Theorem for Bloch Mappings on the Unit Ball ■~n

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Acta Mathematica Sinica,English Series 2009年第10期25卷 1583-1590页

作者： Jian Fei WANG tai Shun liu College of Mathematics and Physics Information Engineering Zhejiang Normal University Jinhua 321004 P. R. China Department of Mathematics Huzhou Teachers College Huzhou 313000 P. R. China

In this paper, we obtain a version of subordination lemma for hyperbolic disk relative to hyperbolic geometry on the unit disk D. This subordination lemma yields the distortion theorem for Bloch mappings f ∈ H（B^n） satisfying ｜｜f｜｜0 = 1 and det f＇（0） = α ∈ （0, 1], where｜｜f｜｜0 = sup{（1 - ｜z｜^2 ）n＋1/2n det（f＇（z））[1/n ： z ∈ B^n}. Here we establish the distortion theorem from a unified perspective and generalize some known results. This distortion theorem enables us to obtain a lower bound for the radius of the largest univalent ball in the image of f centered at f（0）. When a = 1, the lower bound reduces to that of Bloch constant found by liu. When n = 1, our distortion theorem coincides with that of Bonk, Minda and Yanagihara.

关键词： mapping distortion theorem Bloch mapping univalent ball hyperbolic distance holomorphic

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Biomechanics of sclera crosslinked using genipin in rabbit

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International Journal of Ophthalmology(English edition) 2017年第3期10卷 355-360页

作者： tai-Xiang liu Zheng Wang Guizhou Ophthalmic Hospital Affiliated Hospital of Zunyi Medical College Ztmyi 563003 Guizhou Province China Zhongshan Ophthalmic Center of Sun Yat-sen University the State Key Laboratory of Ophthalmology Guangzhou 510060 Guangdong Province China

AIM：To strengthen the biomechanics of collagen by crosslinking rabbit scleral collagen with genipin to develop a new therapy for preventing myopic progression. METHODS：Ten New Zealand rabbits were treated with 0.5 mmol/L genipin injected into the sub-Tenon＇s capsule in the right eyes. Untreated contralateral eyes served as the control. The treated area was cut into scleral strips measuring 4.0 mm×10.0 mm for stress-strain measurements（n=5）. The remaining five treated eyes were prepared for histological ***：Compared to the untreated scleral strips,the genipin-crosslinked scleral strips showed that the ultimate stress and Young＇s modulus at 10% strain were increased by the amplitude of 130% and 303% respectively,ultimate strain was decreased by 24%. There had no α-smooth muscle actin（α-SMA）positive cells in control and treated sclera. Histologically,there was no sign of apoptosis in the sclera,choroid,and retina; and no side effects were found in the peripheral cornea and optic nerve adjacent to the treatment ***：Genipin induced crosslinking of collagen can increase its biomechanical behavior by direct strengthening of the extracellular matrix in rabbit sclera,with no α-SMA expression seen in the myofibroblasts. As there is no evidence of cytotoxicity in the scleral,choroidal,and retinal cells,genipin is likely a promising agent to strengthen the weakened sclera to prevent myopic progression.

关键词： genipin crosslinking biomechanics sclera myopia

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Crystallization Behavior in Fluoride-Free Mold Fluxes Containing TiO_2/ZrO_2

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Journal of Iron and Steel Research International 2011年第5期18卷 31-37页

作者： ZHANG Zuo-tai LI Jing liu Peng College of Engineering Peking UniversityBeijing 100871China

The time-temperature-transformation （TTT） diagrams of fluoride-free mold fluxes containing TiO2/ZrO2 were constructed through the confocal scanning laser microscope （CSLM） technique. It was found that the crystallization temperature of F-free mold fluxes containing TiO2 or ZrO2 increases,while incubation time decreases with increasing basicity. The crystallization tendency increases with the zirconia addition in slag melt,as it may be thought that the addition solubility is limited in molten slag and the solid particles act as heterogeneous nucleation sites. Three types of crystal morphologies were observed,corresponding to different crystallization mechanisms. CaSiO3 and Ca3Si2O7 precipitate in the slag with low basicity,and Ca2SiO4 was formed with increasing basicity. The addition of TiO2 promotes the precipitation of CaTiO3. The logarithm of crystal growth rate increased with increasing isothermal temperature,suggesting that the crystal/melt interface reaction is the controlling step in the present experiment.

关键词： crystallization fluoride-free mold flux TTT diagram ZrO2 TiO2

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On the Fekete and Szego Problem for Starlike Mappings of Order α

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Acta Mathematica Sinica,English Series 2017年第4期33卷 554-564页

作者： Qing Hua XU Fang FANG tai Shun liu College of Mathematics and Information Science JiangXi Normal University Nanchang 330022 P. R. China Department of Mathematics Huzhou University Huzhou 313000 P. R. China

Let Sα*be the familiar class of normalized starlike functions of order α in the unit disk. In this paper, we establish the Fekete and Szeg? inequality for the class Sα*, and then we generalize this result to the un... 详细信息

关键词： Fekete–Szego problem starlike mappings of order α sharp coefficient bound

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Hybrid-triggered consensus for multi-agent systems with time-delays,uncertain switching topologies, and stochastic cyber-attacks

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Chinese Physics B 2019年第9期28卷 131-144页

作者： Xia Chen Li-Yuan Yin Yong-tai liu Hao liu School of Automation Shenyang Aerospace University

We propose a new approach to discuss the consensus problem of multi-agent systems with time-varying delayed control inputs, switching topologies, and stochastic cyber-attacks under hybrid-triggered mechanism.A Bernoulli variable is used to describe the hybrid-triggered scheme, which is introduced to alleviate the burden of the *** mathematical model of the closed-loop control system is established by taking the influences of time-varying delayed control inputs,switching topologies, and stochastic cyber-attacks into account under the hybrid-triggered scheme.A theorem as the main result is given to make the system consistent based on the theory of Lyapunov stability and linear matrix *** jumps with uncertain rates of transitions are applied to describe the switch of ***, a simulation example demonstrates the feasibility of the theory in this paper.

关键词： hybrid-triggered consensus multi-agent system time-delay and cyber-attacks switching topologies

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Polymorphic Transition of Pre-oriented Polybutene-1 under Tensile Deformation:In Situ FTIR Study

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Chinese Journal of Polymer Science 2020年第8期38卷 888-897,I0008页

作者： Zhen Zhang Xin Chen Chuang Zhang Chun-tai liu Zhen Wang Yan-Ping liu National Engineering Research Center for Advanced Polymer Processing Technology Key Laboratory of Materials Processing and Mold(Zhengzhou University)Ministry of EducationZhengzhou UniversityZhengzhou 450002China National Center for International Research of Micro-nano Molding Technology&Key Laboratory for Micro Molding Technology of Henan Province Zhengzhou UniversityZhengzhou 450002China

Deformation-induced phase transition of FormⅡto FormⅠin polybutene-1(PB-1)has been investigated by time-resolved Fourier transform infrared(FTIR)spectroscopy over a wide temperature range from 25℃to 105℃.The initial film sample containing orientated lamellae is prepared by pre-stretching of PB-1 melt followed by *** is to realize a homogeneity of subsequent deformation at the mesoscale of lamellar stacks by avoiding large-scale *** deformation induced phase transition is recognized to occur with two stages:first,FormⅡundergoes the lamellar fragmentation,slipping or local melting after yielding to activate its transition to FormⅠ,which may be realized by releasing the restrictions on chains translational movements in crystalline phase;second,the phase transition proceeds with a continuous dissipation of external work and determines the tensile mechanical response of *** quantify the relationship between crystalline transition of FormⅡto FormⅠand external tensile field,a simple kinetic equation is well established based on FTIR *** equation can describe not only the dependence of crystal transitional degree on applied specific work,but also the retardation effect of elevating temperature on phase transition.

关键词： Polybutene-1 Tensile deformation FTIR Crystalline transition External work

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