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on the Cauchy problem of generalized complex Ginzburg-Landau equation in three dimensions

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progress in Natural Science:Materials International 2003年第9期 20-27页

作者： li donglong and guo boling (1. Guangxi institute of Technology, liuzhou 545006, china 2. Graduate School of china Academy of Engineering physics, beijing 100088, china 3. institute of applied physics and computational mathematics, p. o. box 8009, beijing 100088, china) Guangxi institute of Technology，liuzhou 545006，china Graduate School of china Academy of Engineering physics，beijing 100088，china institute of applied physics and computational mathematics，p. o. box 8009，beijing 100088，china

The generlized complex Ginzburg-Landau equation (CGL) under periodic boundary condition is studied. The existenceof global solution for this equation is established under appropriate assumption on a nonlinear σ, whic... 详细信息

关键词： generalized complex Ginzburg-Landau equation global solution.

WEAK AND SMooTH GLoBAL SoLUTIoN FoR LANDAU-liFSHITZ-BLoCH-MAXWELL EQUATIoN

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Annals of applied mathematics 2020年第1期36卷 1-30页

作者： boling guo Yongqian Han Daiwen Huang Fangfang li institute of applied physics and computational Math. P.O.Box 8009Beijing 100088PR China institute of applied Math. Academy of Math.and Systems ScienceChina Academy of SciencesBeijing100190PR China

This paper is devoted to investigate the existence and uniqueness of the solution of Landau-lifshitz-Bloch-Maxwell *** Landau-lifshitzBloch-Maxwell equation,which fits well for a wide range of temperature,is used to study the dynamics of magnetization vector in a ferromagnetic *** the initial data is in(H1,L2,L2),the existence of the global weak solution is *** the initial data is in(Hm+1,Hm,Hm)(m≥1),the existence and uniqueness of the global smooth solution are established.

关键词： Landau-lifshitz-Bloch-Maxwell equation global solution paramagnetic-ferromagnetic transition temperature-dependent magnetic theory Landau-lifshitz theory

Double-hump resonance structure of the cross sections for electron impact ionization of Ar^5 ＋

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原子与分子物理学报 2006年第B4期23卷 90-92页

作者： ZENG Si-liang ZHANG Hong li ping li Yue-ming YAN Jun wang Jian-guo Key Laboratory of computational physics Institute of Applied Physics and Computational MathematicsFO Box 8009-57 Beijing 100088 P.R. China P. R. China Imtitute of Modem physics Chinese Academy of Sciences Lanzhou 730000P. R. China

Configuration-average distorted-wave calculations are carried out for electron-impact ionization of Ar5+. Both direct ionization and the indirect excitation autoionization processes are included in our calculations. our theoretical values are in quite reasonable agreement with the experimental data. The indirect processes contribute up to 50% to the total ionization cross sections. The possible origin of double-hump resonance structure of the cross sections is demonstrated and the contributions of metastable states are also taken into account.

关键词：电子碰撞电离激励自电离亚稳定态间接激励

New Rogue Wave Solutions of （1＋2）-Dimensional Non-Isospectral Kp-II Equation

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Communications in Theoretical physics 2013年第6期59卷 723-728页

作者： guo Yan-Feng liNG li-Ming DAI Zheng-De College of Science Guangxi University of Science and Technology Liuzhou 545006 China institute of applied physics and computational mathematics P.O. Box 8009 Beijing 100088 China School of mathematics and physics Yunnan University Kunming 650091 China

The generalized binary Darboux transformation for the （1 ＋2）-dimensional non-isospectral Kp-H equation is presented. Moreover, as a direct application, the new rogue wave solutions for the （1＋2）-dimensional non-... 详细信息

关键词： non-isospectral Kp-II equation generalized binary darboux transformations Rogue wave solu-tions

Blow-up Solutions to a Viscoelastic Fluid System and a Coupled Navier–Stokes/phase-Field System in R^(2)

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Chinese physics Letters 2011年第6期28卷 21-23页

作者： ZHAo li-Yun guo Bo-ling HUANG Hai-Yang School of Mathematical Sciences and Key Laboratory of mathematics and Complex Systems(Ministry of Education) Beijing Normal UniversityBeijing 100875 Nonlinear Center for Studies Institute of Applied Physics and Computational MathematicsPO Box 8009Beijing 100088

The explicit solutions to both the oldroyd-B model with an infinite Weissenberg number and the coupled Navier–Stokes/phase-field system are constructed by the method of separation of *** is found that the solutions b... 详细信息

关键词： infinite separation solutions

physical modeling of multiphase flow via lattice Boltzmann method： Numerical effects, equation of state and boundary conditions

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Frontiers of physics 2012年第4期7卷 481-490页

作者： Yan-Biao Gan Ai-guo Xu Guang-Cai Zhang Ying-Jun li North china institute of Aerospace Engineering Langfang 065000 China National Key Laboratory of computational physics Institute of Applied Physics and Computational Mathematics P. O. Box 8009-26 Beijing 100088 China State Key Laboratory for GeoMechanics and Deep Underground Engineering SMCEChina University of Mining and Technology (Beijing) Beijing 100083 China

The aims of the present paper are threefold. First, we further study the fast Fourier transform thermal lattice Boltzmann （FFT-TLB） model for van der Waals （VDW） fluids proposed in phys. Rev. E, 2011, 84（4）： 046715. We analyze the merits of the FFT approach over the traditional finite difference scheme and investigate the effects of smoothing factors on accuracy and stability in detail. Second, we incorporate the VDW equation of state with flexible parameters into the FFT- TLB model. As a result, the revised model may be used to handle multiphase flows with various critical densities and temperatures. Third, we design appropriate boundary conditions for systems with solid walls. These improvements, from the views of numerics and physics, significantly extend the application scope of the model in science and engineering.

关键词： van der Waals fluids lattice Boltzmann method FFT equation of state

Lattice Boltzmann model for combustion and detonation

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Frontiers of physics 2013年第1期8卷 94-110页

作者： Bo Yan Ai-guo Xu Guang-Cai Zhang Yang-Jun Ying Hua li National Key Laboratory of computational physics Institute of Applied Physics and Co~putational Mathe'maties P. O. Box 8009-26 Beijing 100088 China

In this paper we present a lattice Boltzmann model for combustion and detonation. In this model the fluid behavior is described by a finite-difference lattice Boltzmann model by Gan et al. [physica A, 2008, 387: 1721]. The chemical reaction is described by the Lee-Tarver model [phys. Fluids, 1980, 23: 2362]. The reaction heat is naturally coupled with the flow behavior. Due to the separation of time scales in the chemical and thermodynamic processes, a key technique for a successful simulation is to use the operator-splitting scheme. The new model is verified and validated by well-known benchmark tests. As a specific application of the new model, we studied the simple steady detonation phenomenon. To show the merit of LB model over the traditional ones, we focus on the reaction zone to study the non-equilibrium effects. It is interesting to find that, at the von Neumann peak, the system is nearly in its thermodynamic equilibrium. At the two sides of the von Neumann peak, the system deviates from its equilibrium in opposite directions. In the front of von Neumann peak, due to the strong compression from the reaction product behind the von Neumann peak, the system experiences a sudden deviation from thermodynamic equilibrium. Behind the von Neumann peak, the release of chemical energy results in thermal expansion of the matter within the reaction zone, which drives the system to deviate the thermodynamic equilibrium in the opposite direction. From the deviation from thermodynamic equilibrium, Δ m *, defined in this paper, one can understand more on the macroscopic effects of the system due to the deviation from its thermodynamic equilibrium.

关键词： lattice Boltzmann method Lee-Tarver model viscous detonation deviation from equilibrium

Finite-Difference Lattice Boltzmann Scheme for High-Speed Compressible Flow:Two-Dimensional Case

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Communications in Theoretical physics 2008年第7期50卷 201-210页

作者： GAN Yan-Biao XU Ai-guo ZHANG Guang-Cai ZHANG ping ZHANG Lei li Ying-Jun china University of Mining and Technology （beijing） Beijing 100083 China State Key Laboratory of computational physics Institute of Applied Physics and Computational Mathematics P.O. Box 8009-26 Beijing 100088 China Fundamental Science Department North China Institute of Aerospace Engineering Langfang 065000 China

Lattice Boltzmann （LB） modeling of high-speed compressible flows has long been attempted by various authors. one common weakness of most of previous models is the instability problem when the Mach number of the flow is large. In this paper we present a finite-difference LB model, which works for flows with flexible ratios of specific heats and a wide range of Mach number, from 0 to 30 or higher. Besides the discrete-velocity-model by Watari [physica A 382 （2007） 502], a modified Lax Wendroff finite difference scheme and an artificial viscosity are introduced. The combination of the finite-difference scheme and the adding of artificial viscosity must find a balance of numerical stability versus accuracy. The proposed model is validated by recovering results of some well-known benchmark tests： shock tubes and shock reflections. The new model may be used to track shock waves and/or to study the non-equilibrium procedure in the transition between the regular and Mach reflections of shock waves, etc.

关键词： lattice Boltzmann method high-speed compressible flow von Neumann analysis

Highly Efficient Lattice Boltzmann Model for Compressible Fluids:Two-Dimensional Case

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Communications in Theoretical physics 2009年第10期52卷 681-693页

作者： CHEN Feng XU Ai-guo ZHANG Guang-Cai GAN Yan-Biao CHENG Tao li Ying-Jun china University of Mining and Technology （beijing） beijing 100083 China National Key Laboratory of computational physics Institute of Applied Physics and Computational Mathematics P.O. Box 8009-26 Beijing 100088 China North china institute of Aerospace Engineering Langfang 065000 China

We present a highly efficient lattice Boltzmann model for simulating compressible flows. This model is based on the combination of an appropriate finite difference scheme, a 16-discrete-velocity model [Kataoka and Tsutahara, phys. Rev. E 69 （2004） 035701（R）] and reasonable dispersion and dissipation terms. The dispersion term effectively reduces the oscillation at the discontinuity and enhances numerical precision. The dissipation term makes the new model more easily meet with the yon Neumann stability condition. This model works for both high-speed and low-speed flows with arbitrary specific-heat-ratio. With the new model simulation results for the well-known benchmark problems get a high accuracy compared with the analytic or experimental ones. The used benchmark tests include （i） Shock tubes such as the Sod, Lax, Sjogreen, Colella explosion wave, and collision of two strong shocks, （ii） Regular and Mach shock reflections, and （iii） Shock wave reaction on cylindrical bubble problems. With a more realistic equation of state or free-energy functional, the new model has the potential tostudy the complex procedure of shock wave reaction on porous materials.

关键词： lattice Boltzmann method compressible flows specific-heat-ratio von Neumann stability analysis