On unsteady two-phase fluid flow due to eccentric rotation of a disk by A. K. Ghosh, S. Paul, L. Debnath

“…We examine the unsteady flow of a two-phase fluid generated by the nontorsional oscillations of a disk when the disk and the fluid at infinity rotate noncoaxially with the same angular velocity. …”
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Analysis of electroelastic frictionless contact problems with adhesion by Mircea Sofonea, Rachid Arhab, Raafat Tarraf

“…Moreover, we prove that the solution of the Signorini contact problem can be obtained as the limit of the solution of the contact problem with normal compliance as the stiffness coefficient of the foundation converges to infinity.…”
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New Phase-Fitted and Amplification-Fitted Fourth-Order and Fifth-Order Runge-Kutta-Nyström Methods for Oscillatory Problems by K. W. Moo, N. Senu, F. Ismail, M. Suleiman

“…Both new derived methods have two variable coefficients with phase-lag of order infinity and zero amplification error (zero dissipative). …”
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Nonparametric Regression with Subfractional Brownian Motion via Malliavin Calculus by Yuquan Cang, Junfeng Liu, Yan Zhang

“…We study the asymptotic behavior of the sequence Sn=∑i=0n-1K(nαSiH1)(Si+1H2-SiH2), as n tends to infinity, where SH1 and SH2 are two independent subfractional Brownian motions with indices H1 and H2, respectively. …”
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Geometric Curvatures of Plane Symmetry Black Hole by Shao-Wen Wei, Yu-Xiao Liu, Chun-E. Fu, Hai-Tao Li

“…The geometry is also found to be curved, and the scalar curvature goes to negative infinity at the Davie phase transition points beyond semiclassical approximation.…”
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Invasion entire solutions in a time periodic Lotka-Volterra competition system with diffusion by Li-Jun Du, Wan-Tong Li, Jia-Bing Wang

“…We first give the asymptotic behaviors of time periodic traveling wave solutions at infinity by a dynamical approach coupled with the two-sided Laplace transform. …”
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Heat Transfer Analysis on the Hiemenz Flow of a Non-Newtonian Fluid: A Homotopy Method Solution by Yasir Khan, Zdeněk Šmarda

“…The series solution is obtained without using the diagonal Padé approximants to handle the boundary condition at infinity which can be considered as a clear advantage of homotopy perturbation technique over the decomposition method. …”
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The number of nonunimodular roots of a reciprocal polynomial by Stankov, Dragan

“…We prove that the ratio of the number of nonunimodular roots of $P_{d}$ to its degree $d$ has a limit $L$ when $d$ tends to infinity. We show that if the coefficients of a polynomial can be arbitrarily large in modulus then $L$ can be arbitrarily close to $0$. …”
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Generalized logistic equation on Networks by Elbetch, Bilel

“…Second, in the case of perfect mixing, i.e. when the migration rate tends to infinity, the total population follows a generalized logistic law with a carrying capacity which in general is different from the sum of the $n$ carrying capacities. …”
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Quantitative spectral inequalities for the anisotropic Shubin operators and applications to null-controllability by Alphonse, Paul, Seelmann, Albrecht

“…A particular feature of our estimates is that the constant relating these $L^2$-norms is very explicit in geometric parameters of the corresponding subset of the whole space, which may become sparse at infinity and may even have finite measure. This extends results obtained recently by J. …”
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Acoustic-gravity waves in a viscous and thermally conducting isothermal atmosphere by H. Y. Alkahby

“…Finally it is shown that when Newtonian cooling coefficient goes to infinity it acts directly to eliminate the temperature perturbation associated with the wave and the attenuation factor in the amplitude of the wave. …”
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Slow Rotation of Concentric Spheres with Source at Their Centre in a Viscous Fluid by Deepak Kumar Srivastava

“…., Ω2=0), while inner sphere rotates with uniform angular velocity Ω1, and (iii) inner sphere rotates with uniform angular velocity Ω1, while outer sphere rotates at infinity with angular velocity Ω2, have been deduced.…”
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The Pre-Schwarzian Norm Estimate for Analytic Concave Functions by Young Jae Sim, Oh Sang Kwon

“…Let Co(α) be the class of concave functions f∈S, which have the condition that the opening angle of f(D) at infinity is less than or equal to πα, α∈(1,2]. In this paper, we find a sufficient condition for the Gaussian hypergeometric functions to be in the class Co(α). …”
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Boundary Effect on Asymptotic Behavior of Solutions to the p-System with Time-Dependent Damping by Ran Duan, Mina Jiang, Yinghui Zhang

“…We prove that the solutions time-asymptotically converge to v+,0 as t tends to infinity. Compared with previous results about the p-system with constant coefficient damping, we obtain a general result when the initial perturbation belongs to H3R+×H2R+. …”
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A Regularization SAA Scheme for a Stochastic Mathematical Program with Complementarity Constraints by Yu-xin Li, Jie Zhang, Zun-quan Xia

“…Second, under MPCC-MFCQ, which is weaker than MPCC-LICQ, we show that any accumulation point of Karash-Kuhn-Tucker points of the regularized SAA problem is almost surely a kind of stationary point of SMPCC as the sample size tends to infinity. Finally, some numerical results are reported to show the efficiency of the method proposed.…”
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Estimates for Unimodular Multipliers on Modulation Hardy Spaces by Jiecheng Chen, Dashan Fan, Lijing Sun, Chunjie Zhang

“…We extend such boundedness to the case of all 0<p,q≤∞ and obtain its asymptotic estimate as t goes to infinity. As applications, we give the grow-up rate of the solution for the Cauchy problems for the free Schrödinger equation with the initial data in a modulation space, as well as some mixed norm estimates. …”
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Carrollian partition functions and the flat limit of AdS by Per Kraus, Richard M. Myers

“…This partition function, specified at past and future null infinity in the case of massless particles, generates Carrollian correlation functions that encode the S-matrix. …”
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Exact Solution for Long-Term Size Exclusion Suspension-Colloidal Transport in Porous Media by Z. You, P. Bedrikovetsky, L. Kuzmina

“…Total concentration of all the pores smaller than the particles turns to zero asymptotically when time tends to infinity, which corresponds to complete plugging of smaller pores.…”
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On the Development of Two-Dimensional Wakes within Curved Channels: Experimental and Theoretical Investigation by M. T. Schobeiri, K. Pappu, J. John

“…The theory also describes the straight wake as a special case, for which the curvature radius approaches infinity. To demonstrate the general validity of theory, experimental results pertaining to curved wake as well as straight wake flows are compared with the developed theory.…”
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Nathan Lyons: In Pursuit of Magic at the George Eastman Museum (Rochester, NY), retrospective or exhibition? by Bruno Chalifour

“…His curating, writings and photographs have challenged and expanded the medium in many ways (ICP Infinity Award for Lifetime Achievement in 2000), was he, with his latest work, achieving the same goals?…”
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