High-Speed Transmission in Long-Haul Electrical Systems

International Journal of Differential Equations ◽

10.1155/2018/8236942 ◽

2018 ◽

Vol 2018 ◽

pp. 1-13

Author(s):

Beatriz Juárez-Campos ◽

Elena I. Kaikina ◽

Pavel I. Naumkin ◽

Héctor Francisco Ruiz-Paredes

Keyword(s):

Fourier Transformation ◽

High Speed ◽

Large Time ◽

Large Time Asymptotics ◽

Electrical Systems ◽

Time Asymptotics

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 asymptotics for the solutions under the nonzero mass condition ∫u0xdx≠0.

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Large Time Asymptotics for the Porous Media Equation

Mathematical Sciences Research Institute Publications - Nonlinear Diffusion Equations and Their Equilibrium States I ◽

10.1007/978-1-4613-9605-5_2 ◽

1988 ◽

pp. 21-34 ◽

Cited By ~ 9

Author(s):

Sigurd Angenent

Keyword(s):

Porous Media ◽

Large Time ◽

Porous Media Equation ◽

Large Time Asymptotics ◽

Media Equation ◽

Time Asymptotics

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A Survey of Large Time Asymptotics of Simulated Annealing Algorithms

The IMA Volumes in Mathematics and Its Applications - Stochastic Differential Systems, Stochastic Control Theory and Applications ◽

10.1007/978-1-4613-8762-6_33 ◽

1988 ◽

pp. 583-599 ◽

Cited By ~ 3

Author(s):

John N. Tsitsiklis

Keyword(s):

Simulated Annealing ◽

Large Time ◽

Large Time Asymptotics ◽

Time Asymptotics ◽

Annealing Algorithms

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Large‐Time Asymptotics for Periodic Solutions of the Modified Burgers Equation

Studies in Applied Mathematics ◽

10.1111/j.0022-2526.2005.01551.x ◽

2005 ◽

Vol 114 (3) ◽

pp. 307-323 ◽

Cited By ~ 22

Author(s):

P. L. Sachdev ◽

Ch. Srinivasa Rao ◽

B. O. Enflo

Keyword(s):

Periodic Solutions ◽

Large Time ◽

Burgers Equation ◽

Large Time Asymptotics ◽

Modified Burgers Equation ◽

Time Asymptotics

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Large time asymptotics of Feynman-Kac functionals for symmetric stable processes

Mathematische Nachrichten ◽

10.1002/mana.201500136 ◽

2016 ◽

Vol 289 (16) ◽

pp. 2069-2082 ◽

Cited By ~ 1

Author(s):

Masayoshi Takeda ◽

Masaki Wada

Keyword(s):

Large Time ◽

Stable Processes ◽

Large Time Asymptotics ◽

Symmetric Stable Processes ◽

Time Asymptotics

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Large-Time Asymptotics of Fundamental Solutions for Diffusion Equations in Periodic Media and its Application to Averaging-Theory Estimates

Journal of Mathematical Sciences ◽

10.1007/s10958-020-05029-z ◽

2020 ◽

Vol 250 (4) ◽

pp. 569-592

Author(s):

V. V. Zhikov ◽

S. E. Pastukhova

Keyword(s):

Large Time ◽

Fundamental Solutions ◽

Averaging Theory ◽

Diffusion Equations ◽

Periodic Media ◽

Large Time Asymptotics ◽

Time Asymptotics

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A new PDE approach to the large time asymptotics of solutions of Hamilton–Jacobi equations

Bulletin of Mathematical Sciences ◽

10.1007/s13373-013-0036-0 ◽

2013 ◽

Vol 3 (3) ◽

pp. 363-388 ◽

Cited By ~ 9

Author(s):

Guy Barles ◽

Hitoshi Ishii ◽

Hiroyoshi Mitake

Keyword(s):

Large Time ◽

Large Time Asymptotics ◽

Asymptotics Of Solutions ◽

Time Asymptotics ◽

Jacobi Equations

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On the large-time asymptotics of the diffusion equation on infinite domains

Journal of Engineering Mathematics ◽

10.1007/bf00058467 ◽

1990 ◽

Vol 24 (3) ◽

pp. 213-236 ◽

Cited By ~ 21

Author(s):

R. C. Kloosterziel

Keyword(s):

Diffusion Equation ◽

Large Time ◽

Large Time Asymptotics ◽

Infinite Domains ◽

Time Asymptotics

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SIMULATIONS OF THE LIFSHITZ–SLYOZOV EQUATIONS: THE ROLE OF COAGULATION TERMS IN THE ASYMPTOTIC BEHAVIOR

Mathematical Models and Methods in Applied Sciences ◽

10.1142/s0218202513500061 ◽

2013 ◽

Vol 23 (07) ◽

pp. 1177-1215 ◽

Cited By ~ 10

Author(s):

THIERRY GOUDON ◽

FRÉDÉRIC LAGOUTIÈRE ◽

LÉON MATAR TINE

Keyword(s):

Asymptotic Behavior ◽

Large Time ◽

Finite Volume Schemes ◽

Large Time Asymptotics ◽

Asymptotic Profile ◽

Time Asymptotics ◽

Supersaturated Solid Solutions ◽

Kinetics Of ◽

Selection Of

We consider the Lifshitz–Slyozov system that describes the kinetics of precipitation from supersaturated solid solutions. We design specific Finite Volume schemes and we investigate numerically the behavior of the solutions, in particular the large time asymptotics. Our purpose is two-fold: first, we introduce an adapted scheme based on downwinding techniques in order to reduce the numerical diffusion; second, we discuss the influence of coagulation effects on the selection of the asymptotic profile.

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Large-time asymptotics of moving-reaction interfaces involving nonlinear Henry’s law and time-dependent Dirichlet data

Nonlinear Analysis ◽

10.1016/j.na.2013.07.002 ◽

2013 ◽

Vol 93 ◽

pp. 3-14 ◽

Cited By ~ 7

Author(s):

Toyohiko Aiki ◽

Adrian Muntean

Keyword(s):

Large Time ◽

Time Dependent ◽

Henry's Law ◽

Large Time Asymptotics ◽

Henry’S Law ◽

Dirichlet Data ◽

Time Asymptotics

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Large-time asymptotics for the density of a branching Wiener process

Journal of Applied Probability ◽

10.1239/jap/1134587818 ◽

2005 ◽

Vol 42 (4) ◽

pp. 1081-1094 ◽

Cited By ~ 1

Author(s):

Pál Révész ◽

Jay Rosen ◽

Zhan Shi

Keyword(s):

Asymptotic Expansion ◽

Wiener Process ◽

Large Time ◽

Large Time Asymptotics ◽

Complete Asymptotic Expansion ◽

Time Asymptotics ◽

Number Of Particles

Given an ℝd-valued supercritical branching Wiener process, let ψ(A, T) be the number of particles in A ⊂ ℝd at time T (T = 0, 1, 2, …). We provide a complete asymptotic expansion of ψ(A, T) as T → ∞, generalizing the work of X. Chen.

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