共查询到19条相似文献,搜索用时 62 毫秒
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主要研究了一类带有非牛顿位势的可压缩Navier-Stokes方程:其中粘性系数μ依赖于密度ρ,Φ是非牛顿位势.证明了上述问题的强解的存在性.在相容性条件下,得到了强解的唯一性. 相似文献
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郭尚喜 《数学物理学报(A辑)》2021,(3):642-651
考虑粘性系数依赖于密度的一维等熵可压缩Navier-Stokes方程的初值问题.利用能量估计得到密度的上界和下界,从而证明了真空和集中状态都不会产生.再利用关于强解的局部存在性结论,通过变换粘性系数构造逼近解,并结合密度和速度的先验估计得到强解的整体存在性. 相似文献
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研究一类Korteweg型不可压流体模型的强解问题.针对粘性系数依赖于密度的情形,当初始值满足兼容性条件(9)对,证明了强解的局部存在性和唯一性.我们在这指出,本文允许初始真空存在. 相似文献
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粘性依赖于密度的可压缩Navier-Stokes方程 总被引:1,自引:0,他引:1
张挺 《高校应用数学学报(英文版)》2006,21(2):165-178
The global existence of solutions to the equations of one-dimensional compressible flow with density-dependent viscosity is proved. Specifically,the assumptions on initial data are that the modulo constant is stated at x=∞ +and x=-∞ ,which may be different ,the density and velocity are in L^z ,and the density is bounded above and below away from zero. The results also show that even under these conditions, neither vacuum states nor concentration states can be formed in finite time. 相似文献
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该文证明了在二或三维情形下, 当马赫数趋于零时, 一类完全可压缩Navier-Stokes方程的解收敛到相应的完全不可压缩Navier-Stokes方程的解. 相似文献
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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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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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本文研究了带有部分扩散(?22b1,?11b2)的二维非齐次不可压缩磁流体方程组的柯西问题.我们在Sobolev空间中证明了该磁流体方程组存在唯一的整体强解. 相似文献
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Spherically Symmetric Solutions to Compressible Hydrodynamic Flow of Liquid Crystals in N Dimensions
The paper is concerned with the system modeling the compressible hydrodynamic flow of liquid crystals with radially symmetric initial data and non-negative initial density in dimension N (N ≥ 2).The au... 相似文献
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A Logarithmically Improved Blow-up Criterion for a Simplified Ericksen-Leslie System Modeling the Liquid Crystal Flows 下载免费PDF全文
In this paper, we prove a logarithmically improved blow-up criterion in terms of the homogeneous Besov spaces for a simplified 3D Ericksen-Leslie system modeling the hydrodynamic flow of nematic liquid crystal. The result shows that if a local smooth solution (u,d) satisfies $$∫^T_0\frac{||u||^{\frac{2}{1-r}}_{\dot{B}^{-r}{∞,∞}}+||∇ d||²_{L^∞}}{1+1n(e+||u||_H^S+||∇ d||_H^S)}dt‹∞$$ with 0 ≤ r ‹ 1 and s ≥ 3, then the solution (u,d) can be smoothly extended beyond the time T. 相似文献
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Daoyuan Fang Ruizhao Zi Ting Zhang 《Nonlinear Analysis: Theory, Methods & Applications》2012,75(6):3130-3141
We establish a blow-up criterion in terms of the upper bound of the density and temperature for the strong solution to 2D compressible viscous heat-conductive flows. The initial vacuum is allowed. 相似文献
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Concerning a bounded sequence of finite energy weak solutions to the compressible Navier-Stokes-Poisson system (denoted by CNSP), which converges up to extraction of a subsequence, the limit system may not be the same system. By introducing Young measures as in [6, 15], the authors deduce the system (HCNSP) which the limit functions must satisfy. Then they solve this system in a subclass where Young measures are convex combinations of Dirac measures, to give the information on the propagation of density-oscillations. The results for strong solutions to (CNSP) (see Corollary 6.1) are also obtained. 相似文献
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In this paper, we study the 3D compressible magnetohydrodynamic equations. We obtain a blow up criterion for the local strong solutions just in terms of the gradient of the velocity, similar to the Beal-Kato-Majda criterion (see J.T. Beal, T. Kato and A. Majda (1984) [1]) for the ideal incompressible flow. In addition, initial vacuum is allowed in our case. 相似文献
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In this paper, we prove the blow-up phenomena of smooth solutions to the Cauchy problem for the full compressible magnetohydrodynamic equations and isentropic compressible magnetohydrodynamic equations with constant and degenerate viscosities under some restrictions on the initial data. In particular, our results do not require that the initial data have compact support or contain vacuum in any finite region. 相似文献
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The zero dissipation limit for the one-dimensional Navier-Stokes equations of compressible,isentropic gases in the case that the corresponding Euler equations have rarefaction wave solutions is investi... 相似文献
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该文构造了三维磁流体方程组的若干分离变量型和自相似型显式爆破解. 相似文献