检索结果-南通市图书馆

The stationary solution of a random dynamical model

在线全文

学校读者我要写书评

暂无评论

Theoretical & Applied Mechanics Letters 2014年第1期4卷 50-57页

作者： Wei Li Junfeng Zhao Natasa Trisovic Ruihong Li School of Mathematics and Statistics Xidian University Department of Applied Mathematics Northwestern Polytechnical University Department of Mechanics University of Belgrade

This paper studies the stationary probability density function（PDF） solution of a nonlinear business cycle model subjected to random shocks of Gaussian white-noise type. The PDF solution is controlled by a Fokker–Planck– Kolmogorov（FPK） equation, and we use exponential polynomial closure（EPC） method to derive an approximate solution for the FPK equation. Numerical results obtained from EPC method, better than those from Gaussian closure method, show good agreement with the probability distribution obtained with Monte Carlo simulation including the tail regions.

关键词： Gaussian white-noise business cycle stationary solution

stationary solutions for a Generalized Kadomtsev-Petviashvili Equation in Bounded Domain

在线全文

学校读者我要写书评

暂无评论

Communications in Mathematical Research 2014年第3期30卷 273-283页

作者： ZHANG KE-YU XU JIA-FA Li Yong Department of Mathematics Qilu Normal University School of Mathematics Shandong University

In this work, we are mainly concerned with the existence of stationary solutions for a generalized Kadomtsev-Petviashvili equation in bounded domain of Rn. We utilize variational method and critical point theory to es... 详细信息

关键词： generalized Kadomtsev-Petviashvili equation stationary solution criticaI point theory variational method

UNIQUENESS OF stationary solutionS WITH VACUUM OF EULER-POISSON EQUATIONS

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2003年第3期23卷 405-412页

作者：邓引斌郭玉劲 Laboratory of Nonlinear Analysis Department of Mathematics Central China Normal UniversityWuhan 430079China

In this paper, the uniqueness of stationary solutions with vacuum of Euler-Poisson equations is considered. Through a nonlinear transformation which is a function of density and entropy, the corresponding problem can be reduced to a semilinear elliptic equation with a nonlinear source term consisting of a power function, for which the classical theory of the elliptic equations leads the authors to the uniqueness result under some assumptions on the entropy function S(x). As an example, the authors get the uniqueness of stationary solutions with vacuum of Euler-Poisson equations for S(x) =|x|θandθ∈stationary solution∪[2(N-2),+∞).

关键词： Uniqueness stationary solution Euler-Poisson equation

THE EXISTENCE AND STABILITY OF stationary solutionS OF THE INFLOW PROBLEM FOR FULL COMPRESSIBLE NAVIER-STOKES-POISSON SYSTEM

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2021年第1期41卷 319-336页

作者： Hakho HONG Institute of Mathematics State Academy of SciencesPyongyangD P R Korea

In this paper,we consider an inflow problem for the non-isentropic Navier-StokesPoisson system in a half line(0,∞).For the general gas including ideal polytropic gas,we first give some results for the existence of the stationary solution with the aid of center manifold theory on a 4×4 system of autonomous ordinary differential *** also show the time asymptotic stability of the stationary solutions with small strength under smallness assumptions on the initial perturbations by using an elementary energy method.

关键词： Navier-Stokes-Poisson system inflow problem stationary solution existence stability

Existence and Nonlinear Stability of stationary solutions to the Viscous Two-Phase Flow Model in a Half Line

在线全文

学校读者我要写书评

暂无评论

Communications in Mathematical Research 2020年第4期36卷 423-459页

作者： Hai-Liang Li Shuang Zhao School of Mathematical Sciences Capital Normal UniversityBeijing 100048P.R.China Academy for Multidisciplinary Studies Capital Normal UniversityBeijing 100048P.R.China.

The outflow problem for the viscous two-phase flow model in a half line is investigated in the present *** existence and uniqueness of the stationary solution is shown for both supersonic state and sonic state at spatial far field,and the nonlinear time stability of the stationary solution is also established in the weighted Sobolev space with either the exponential time decay rate for supersonic flow or the algebraic time decay rate for sonic flow.

关键词： Two-phase flow outflow problem stationary solution nonlinear stability.

INTERNAL RESONANT INTERACTIONS OF THREE FREE SURFACE-WAVES IN A CIRCULAR CYLINDRICAL BASIN

在线全文

学校读者我要写书评

暂无评论

Applied Mathematics and Mechanics(English Edition) 2003年第12期24卷 1411-1420页

作者：马晨明 Institute of Mathematics Fudan University

The basic equations of free capillary_gravity surface_waves in a circular cylindrical basin were derived from Luke's principle. Taking Galerkin's expansion of the velocity potential and the free surface elevation, the second_order perturbation equations were derived by use of expansion of multiple scale. The nonlinear interactions with the second order internal resonance of three free surface_waves were discussed based on the above. The results include:derivation of the couple equations of resonant interactions among three waves and the conservation laws; analysis of the positions of equilibrium points in phase plane; study of the resonant parameters and the non_resonant parameters respectively in all kinds of circumstances; derivation of the stationary solutions of the second_order interaction equations corresponding to different parameters and analysis of the stability property of the solutions; discussion of the effective solutions only in the limited time range. The analysis makes it clear that the energy transformation mode among three waves differs because of the different initial conditions under nontrivial circumstance. The energy may either exchange among three waves periodically or damp or increase in single waves.

关键词： free surface-wave internal resonant interaction stationary solution

BOUNDARY VALUE PROBLEMS FOR THE EQUILIBRIUM SYSTEMS OF FERRO-MAGNETIC CHAIN

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 1995年第2期15卷 144-151页

作者：沈尧天严树森 Dept: of Appl. Math. South China Univ. of Thech. Guangzhou 510641 China

We give the definition of the weak solution for the equilibrium systems of ferro-magnetic chain and get the existence result of the Dirichlet problems for this systems. We get the regularity result for the weakly stat... 详细信息

关键词： ELLIPTIC SYSTEMS stationary solution REGULARITY

Global Existence and Optimal Decay Rate of the Compressible Magnetohydrodynamic Equation with Potential Force

在线全文

学校读者我要写书评

暂无评论

Wuhan University Journal of Natural Sciences 2018年第4期23卷 309-317页

作者： YE Lin LI Yeping Department of Mathematics East China University of Science and Technology

In this paper, we consider the three dimensional compressible viscous magnetohydrodynamic equations（MHD） with the external potential force. We first derive the corresponding non-constant stationary solutions. Next, we show global wellposedness of the initial value problem for the three dimensional compressible viscous magnetohydrodynamic equations, provided that the initial data is close to the stationary solution. Finally, based on the elaborate energy estimates for the nonlinear system and L^p-L^q decay estimates of the linearized equation, we show the optimal convergence rates of the solution in L^q-norm with 2≤q≤6 and its first derivative in L^2-norm when the initial perturbation is bounded in L^p-norm with 1≤p〈6/5.

关键词： magnetohydrodynamic equations stationary solution smooth solutions energy estimate optimal decay rate

Dynamical Analysis on Traveling Wave of a Reaction-Advection-Diffusion Equation with Double Free Boundaries

在线全文

学校读者我要写书评

暂无评论

Journal of Partial Differential Equations 2021年第4期34卷 379-392页

作者： JI Changqing YANG Pan School of Mathematics and Statistics Zhengzhou UniversityZhengzhou 450001f China

This paper investigates a reaction-advection-diffusion equation with double free *** stationary solution of the system is studied by phase plane ***,the scale logarithm change sequence method is introduced to show the exact heteroclinic of the system with corresponding ***,a complete description of the types of traveling wave solutions is given with different advection term coefficients.

关键词： Phase plane analysis stationary solution heteroclinic orbit traveling wave solution