Results 21 to 30 of about 6,786 (289)
Abstract and Applied Analysis, 1997 For the damped Boussinesq equation utt−2butxx=−αuxxxx+uxx+β(u2)xx,x∈(0,π),t>0;α,b=const>0,β=const∈R1, the second initial-boundary value problem is considered with small initial data.
Vladimir V. Varlamov
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Designing optimal networks for multicommodity transport problem
Physical Review Research, 2021 Designing and optimizing different flows in networks is a relevant problem in many contexts. While a number of methods have been proposed in the physics and optimal transport literature for the one-commodity case, we lack similar results for the ...
Alessandro Lonardi +3 more
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Long‐time asymptotics for a coupled thermoelastic plate–membrane system [PDF]
Mathematical Methods in the Applied Sciences, 2021 In this paper, we consider a transmission problem for a system of a thermoelastic plate with (or without) rotational inertia term coupled with a membrane with different variants of damping for the plate and/or the membrane. We prove well‐posedness of the problem and higher regularity of the solution and study the asymptotic behavior of the solution ...
Bienvenido Barraza Martínez +4 more
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Sign Tests for Long-memory Time Series [PDF]
, 2005 This paper proposes sign-based tests for simple and composite hypotheses on the long-memory parameter of a time series process. The tests allow for nonstationary hypothesis, such as unit root, as well as for stationary hypotheses, such as weak dependence
Delgado, Miguel A., Velasco, Carlos
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Decoherence in Conformal Field Theory
Journal of High Energy Physics, 2020 Noise sources are ubiquitous in Nature and give rise to a description of quantum systems in terms of stochastic Hamiltonians. Decoherence dominates the noise-averaged dynamics and leads to dephasing and the decay of coherences in the eigenbasis of the ...
Adolfo del Campo, Tadashi Takayanagi
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Vortex formation for a non-local interaction model with Newtonian repulsion and superlinear mobility
Advances in Nonlinear Analysis, 2022 We consider density solutions for gradient flow equations of the form ut = ∇ · (γ(u)∇ N(u)), where N is the Newtonian repulsive potential in the whole space ℝd with the nonlinear convex mobility γ(u) = uα, and α > 1.
Carrillo J.A. +2 more
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Asymptotic behavior of solutions of the damped Boussinesq equation in two space dimensions
International Journal of Mathematics and Mathematical Sciences, 1999 The Cauchy problem for the damped Boussinesq equation with small initial data is considered in two space dimensions. Existence and uniqueness of its classical solution is proved and the solution is constructed in the form of a series.
Vladimir V. Varlamov
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Genus two KdV soliton gases and their long-time asymptotics
Forum of Mathematics, SigmaThis paper employs the Riemann-Hilbert problem and nonlinear steepest descent method of Deift-Zhou to provide a comprehensive analysis of the asymptotic behavior of the genus two Korteweg-de Vries soliton gases.
Deng-Shan Wang +2 more
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High-Speed Transmission in Long-Haul Electrical Systems
International Journal of Differential Equations, 2018 We study the equations governing the high-speed transmission in long-haul electrical systems i∂tu-1/3∂x3u=iλ∂xu2u, t,x∈R+×R, u0,x=u0x, x∈R, where λ∈R, ∂xα=F-1ξαF, and F is the Fourier transformation. Our purpose in this paper is to obtain the large time
Beatriz Juárez-Campos +3 more
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Droplet motion with contact-line friction: long-time asymptotics in complete wetting
, 2023 We consider the thin-film equation for a class of free boundary conditions modelling friction at the contact line, as introduced by E and Ren. Our analysis focuses on formal long-time asymptotics of solutions in the perfect wetting regime. In particular,
Peschka, Dirk +5 more
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