Results 41 to 50 of about 1,316 (127)
Long-time asymptotic state of periodically driven open quantum systems [PDF]
Physical Review B, 2016 5 pages, 1 ...
Iwahori, Koudai, Kawakami, Norio
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MathematicsThe paper considers a bidimensional continuous-time risk model with subexponential claims and Brownian perturbations, in which the price processes of the investment portfolio of the two lines of business are two geometric Lévy processes and the two lines
Xiaowen Shen, Kaiyong Wang, Yang Yang
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Long-time asymptotics for the short pulse equation [PDF]
Journal of Differential Equations, 2018 In this paper, we analyze the long-time behavior of the solution of the initial value problem (IVP) for the short pulse (SP) equation. As the SP equation is a complete integrable system, which posses a Wadati-Konno-Ichikawa (WKI)-type Lax pair, we formulate a $2\times 2$ matrix Riemann-Hilbert problem to this IVP by using the inverse scattering method.
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Structural Transformations Far Off Equilibrium
Успехи физики металлов, 2002 Within the framework of the methods of statistical physics based on the use of the nonergodic theory and phase space with ultrametric topology, transformations of strong nonequilibrium condensed matter are studied at micro- and macroscopic structural ...
O. I. Olemskoi, A. A. Katsnelson
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Long‐time asymptotics of the nonlinear Schrödinger equation shock problem [PDF]
Communications on Pure and Applied Mathematics, 2007 AbstractThe long‐time asymptotics of two colliding plane waves governed by the focusing nonlinear Schrödinger equation are analyzed via the inverse scattering method. We find three asymptotic regions in space‐time: a region with the original wave modified by a phase perturbation, a residual region with a one‐phase wave, and an intermediate transition ...
Buckingham, Robert, Venakides, Stephanos
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MODEL OF CAKE FILTRATION IN POROUS MEDIUM
International Journal for Computational Civil and Structural EngineeringStrengthening of loose soil and creation of water-resistant underground walls are associated with filtration of small particles in a porous medium. Liquid solution pumped into a well under pressure spreads through hollow channels and strengthens the ...
Liudmila Kuzmina, Yuri Osipov
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Boussinesq’s equation for water waves: the soliton resolution conjecture for Sector IV
Advanced Nonlinear StudiesWe consider the Boussinesq equation on the line for a broad class of Schwartz initial data relevant for water waves. In a recent work, we identified ten main sectors describing the asymptotic behavior of the solution, and for each of these sectors we ...
Charlier Christophe, Lenells Jonatan
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Investigation of Doubly Nonlinear Parabolic Equation
Proceedings of the International Conference on Applied Innovations in ITWe study the properties of solutions for a porous medium equation (PME) in non-divergent form with a source term. The PME is a fundamental model in various physical and biological processes, including fluid flow through porous media, heat transfer, and ...
Makhmud Bobokandov +3 more
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Long-time asymptotics of the Lifshitz–Slyozov equation with nucleation
Kinetic and Related ModelsWe consider the Lifshitz-Slyozov model with inflow boundary conditions of nucleation type. We show that for a collection of representative rate functions the size distributions approach degenerate states concentrated at zero size for sufficiently large times.
Calvo, Juan +2 more
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Advanced Nonlinear StudiesResorting to the spectral analysis of the 4 × 4 matrix spectral problem, we construct a 4 × 4 matrix Riemann–Hilbert problem to solve the initial value problem for the Hermitian symmetric space derivative nonlinear Schrödinger equation.
Chen Mingming, Geng Xianguo, Liu Huan
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