33,234 research outputs found
Lin Chang and Lei Cai in a Faculty Recital
No full textThis is the program for the faculty recital featuring violinist Lin Chang and pianist Lei Cai. This recital took place on April 20, 2004, in the W. Francis McBeth Recital Hall
Thermocapillary Multidewetting of Thin Films
No full textThermocapillary dewetting of liquids and molten films has recently emerged as a viable alternative to conventional microprocessing methods. As this thermal gradient-induced mechanism is universal, it can be applied to any material. This work explores the sequential dewetting of materials with varying melting points, including polymers and metals, to create aligned morphologies. The variation in melting point allows for the dewetting of single layers at a time or mobility-limited simultaneous dewetting. As a result, a variety of multimaterial structures can be produced with built-in alignment, such as arrays of concentric circles, lines with periodic segmentation, or islands on holes. This approach employs photothermal methods to induce the necessary thermal gradient, manipulating several variables in order to influence the consequent structures. Adjusting laser power and light intensity allows for the control of temperature for selective dewetting of films; altering beam size and exposure time affects the extent of dewetting in terms of diameter size; overlap effects and simultaneous dewetting can result in complex architectures. This controlled writing of patterns also presents a technique to create both masks at low temperatures for conductive multilayers as well as templates for electrospray deposition.Peer reviewe
Solutions for the Navier-Stokes equations with critical and subcritical fractional dissipation in Lei-Lin and Lei-Lin-Gevrey spaces
No full textIn this article, we prove the existence of a unique global solution for the critical case of the generalized Navier-Stokes equations in Lei-Lin and Lei-Lin-Gevrey spaces, by assuming that the initial data is small enough. Moreover, we obtain a unique local solution for the subcritical case of this system, for any initial data, in these same spaces. It is important to point out that our main result is obtained by discussing some properties of the solutions for the heat equation with fractional dissipation.Mathematic
XIAO-LONG LIN, HAI-JUN YU, RUI-LEI ZHANG & XIN-HUA WANG (2019) Polypedilum (Cerobregma) heberti sp. n. (Diptera: Chironomidae) from Gaoligong Mountains, Yunnan, China Zootaxa, 4571: 255-262.
No full textLin, Xiao-Long, Yu, Hai-Jun, Zhang, Rui-Lei, Wang, Xin-Hua (2020): XIAO-LONG LIN, HAI-JUN YU, RUI-LEI ZHANG & XIN-HUA WANG (2019) Polypedilum (Cerobregma) heberti sp. n. (Diptera: Chironomidae) from Gaoligong Mountains, Yunnan, China Zootaxa, 4571: 255-262. Zootaxa 4852 (4): 500-500, DOI: 10.11646/zootaxa.4852.4.
Obtaining Thickness-Limited Electrospray Deposition for 3D coating
No full textThe electrospray process utilizes the balance of electrostatic forces and surface tension within a charged spray to produce charged microdroplets with a narrow dispersion in size. In electrospray deposition, each droplet carries a small quantity of suspended material to a target substrate. Past electrospray deposition results fall into two major categories: (1) continuous spray of films onto conducting substrates and (2) spray of isolated droplets onto insulating substrates. A cross-over regime, or a self-limited spray, has only been limitedly observed in the spray of insulating materials onto conductive substrates. In such sprays, a limiting thickness emerges where the accumulation of charge repels further spray. In this study, we examined the parametric spray of several glassy polymers to both categorize past electrospray deposition results and uncover the critical parameters for thickness-limited sprays. The key parameters for determining the limiting thickness were (1) field strength and (2) the spray temperature, related to (1) the necessary repulsive field and (2) the ability for the deposited materials to swell in the carrier solvent vapor and redistribute charge. These control mechanisms can be applied to the uniform or controllably varied microscale coating of complex 3D objects.Peer reviewe
Existence and analyticity of the Lei-Lin solution of the Navier-Stokes equations on the torus
No full textLei and Lin have recently given a proof of a global mild solution of the
three-dimensional Navier-Stokes equations in function spaces based on the
Wiener algebra. An alternative proof of existence of these solutions was then
developed by Bae, and this new proof allowed for an estimate of the radius of
analyticity of the solutions at positive times. We adapt the Bae proof to prove
existence of the Lei-Lin solution in the spatially periodic setting, finding an
improved bound for the radius of analyticity in this case.Comment: 15 page
Study of the Blow Up of the Maximal Solution to the Three-Dimensional Magnetohydrodynamic System in Lei-Lin-Gevrey Spaces
No full textIn this paper, we investigate existence, uniqueness and blowup in finite time of the local solution to the three dimensional magnetohydrodynamic system, in Gevrey-Lei-Lin spaces. To prove the blowup results and give the blow profile as a function of time, two key points are used. The first is a frequency decomposition of the spectrum of the initial data. This allows to use Leray theory. The second is a technical lemma we proved to state that the Lei-Lin space is an interpolation space between the Gevrey-Lei-Lin and the Lebesgue square integrable functions spaces. To prove uniqueness, we use a penalization procedure and energy methods. About existence, we split the initial condition into low frequencies part and high frequencies part. The former are considered as initial data to the linear part of the system. The latter will be taken as small as needed, so that smallness theory applies and allows to run a fixed point argument
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