Results 21 to 30 of about 1,316 (127)
Long-time asymptotics for nonlinear growth-fragmentation equations [PDF]
Communications in Mathematical Sciences, 2012 We are interested in the long-time asymptotic behavior of growth-fragmentation equations with a nonlinear growth term. We present examples for which we can prove either the convergence to a steady state or conversely the existence of periodic solutions.
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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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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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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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Long-time asymptotics for evolutionary crystal dislocation models [PDF]
Advances in Mathematics, 2020 We consider a family of evolution equations that generalize the Peierls-Nabarro model for crystal dislocations. They can be seen as semilinear parabolic reaction-diffusion equations in which the diffusion is regulated by a fractional Laplace operator of order $2 s \in (0, 2)$ acting in one space dimension and the reaction is determined by a $1 ...
Cozzi M., Davila J., del Pino M.
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Long-time asymptotic behavior of dissipative Boussinesq systems
Discrete & Continuous Dynamical Systems - A, 2007 In this paper, we study various dissipative mechanics associated with the Boussinesq systems which model two-dimensional small amplitude long wavelength water waves. We will show that the decay rate for the damped one-directional model equations, such as the KdV and BBM equations, holds for some of the damped Boussinesq systems which model two ...
Chen, Min, Goubet, Olivier
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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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Nonlinear aggregation-diffusion equations: radial symmetry and long time asymptotics [PDF]
Inventiones mathematicae, 2019 Fix a small gap in the proof of Proposition 2.15 leading to Case 2 of this ...
J. A. Carrillo +3 more
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Universal Proximity Effect in Target Search Kinetics in the Few-Encounter Limit
Physical Review X, 2016 When does a diffusing particle reach its target for the first time? This first-passage time (FPT) problem is central to the kinetics of molecular reactions in chemistry and molecular biology.
Aljaž Godec, Ralf Metzler
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Cell Division And The Pantograph Equation
ESAIM: Proceedings and Surveys, 2018 Simple models for size structured cell populations undergoing growth and division produce a class of functional ordinary differential equations, called pantograph equations, that describe the long time asymptotics of the cell number density.
van Brunt B., Zaidi A. A., Lynch T.
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