共查询到20条相似文献,搜索用时 62 毫秒
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本文研究一维可压缩Navier-Stokes-Vlasov耦合模型在空间周期区域上初值问题整体解的渐近行为;证明随着时间发展,流体速度和粒子宏观平均速度以指数速率收敛到同一个常速度,并且粒子分布函数关于速度变量的紧支集以指数速率收缩到一个点集. 相似文献
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关于非牛顿流体衰减性的一个注记 总被引:1,自引:0,他引:1
In the study of long time asymptotic behaviors of the solutions to a class system of the incompressible non-Newtonian fluid flows in R3, it is proved that the weak solutions decay in L2 norm at (1+t) and the error of difference between non-Newtonian fluid and linear equation is also investigated. The findings are mainly based on the classic Fourier splitting methods. 相似文献
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研究了可压缩Navier-Stokes方程组
球对称弱解的大时间行为. 假设压强
$p(\varrho)=\varrho^\gamma$, 绝热指数$\gamma>1$, 外力是球对称的. 证明了假如外力满足一定的正则性及某种结构性条件, 则当时间
趋于无穷大时, 密度将趋于其对应的静止问题的唯一解. 相似文献
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近年来,对数学物理方程中含有大参数的奇异情况进行了一系列的研究。 [1]—[4]引入了“平衡能量”的概念和带权模的技巧研究了可压缩流方程组及磁流体力学方程组Cauchy问题的奇异极限,得到了局部可微解的存在和唯一性定理。 [5]—[8]利用各种不同的方法克服了边界区域能量估计的困难,研究了大参数可压缩流初边值问题的奇异极限,得到了相应的结果。 相似文献
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研究非齐次Burgers方程Cauchy问题解的大时间行为.假定初值是周期的并且非齐次项具有多个零点.对初值的某些假定条件下,证明了问题的解收敛于一个行波解.所用的主要方法是广义特征线理论. 相似文献
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This paper studies the pullback asymptotic behavior of solutions for a non-autonomous incompressible non-Newtonian fluid in two-dimensional (2D) bounded domains. We first prove the existence of pullback attractors AV in space V (has H2-regularity, see notation in Section 2) and AH in space H (has L2-regularity) for the cocycle corresponding to the solutions of the fluid. Then we verify the regularity of the pullback attractors by showing AV=AH, which implies the pullback asymptotic smoothing effect of the fluid in the sense that the solutions become eventually more regular than the initial data. 相似文献
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We investigate the asymptotic behavior of solutions to damped hyperbolic equations involving strongly degenerate differential operators. First we establish the existence of a global attractor for the damped hyperbolic equation under consideration. Then we prove the finite dimensionality of the global attractor. 相似文献
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Renjun Duan 《Bulletin of the Brazilian Mathematical Society》2016,47(1):307-321
The motion of collisional plasmas can be governed either by the Euler-Maxwell system with damping at the fluid level or by the Vlasov-Maxwell-Boltzmann system at the kinetic level. In the note, we present some recent results in [8] and [7] for the study of the non-trivial large-time behavior of solutions to the Cauchy problem on the related models in perturbation framework. 相似文献
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V. A. Galkin A. O. Dubovik A. A. Epifanov 《Computational Mathematics and Mathematical Physics》2017,57(2):272-280
Approximate methods on the basis of sequential approximations in the theory of functional solutions to systems of conservation laws is considered, including the model of dynamics of incompressible fluid. Test calculations are performed, and a comparison with exact solutions is carried out. 相似文献
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This paper estimates the finite number of the determining nodes to the equations for an incompressible non-Newtonian fluid with space-periodic or no-slip boundary conditions. The authors prove that, whenever the second order derivatives of two different solutions within the global attractor have the same time-asymptotic behavior at finite number of points in the physical space, then the two solutions possess the same time-asymptotic behavior at almost everywhere points of the physical space. 相似文献
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The unsteady flow of viscous incompressible shear-thinning non-Newtonian fluid with mixed boundary is investigated. The boundary condition on the outflow is the modified natural boundary condition, it contains the additional nonlinear term, which enables us to control the kinetic energy of the backward flow. The global existence of weak solution is proved. The fictitious domain method which consists in filling the moving rigid screws with the surrounding fluid and taking into account the boundary conditions on these bodies by introducing a well-chosen distribution of boundary forces is used. 相似文献
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This article proves that the random dynamical system generated by a twodimensional incompressible non-Newtonian fluid with multiplicative noise has a global random attractor, which is a random compact set absorbing any bounded nonrandom subset of the phase space. 相似文献
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The authors construct the trajectory attractor and global attractor for an autonomous two-dimensional non-Newtonian fluid. 相似文献
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An analysis based on the Galerkin method is developed to examine the behaviour of a nonlinear bipolar viscous fluid mathematically modelled by stochastic non-Newtonian fluid motion equations. Existence and uniqueness of solutions to the stochastic equations are derived. 相似文献