Asymptotic behavior and dynamic stability of phase mixtures for the equations of Navier–Stokes with nonmonotonic pressure

Eugene Tsyganov

首页> 外文期刊>ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees >Asymptotic behavior and dynamic stability of phase mixtures for the equations of Navier–Stokes with nonmonotonic pressure

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Asymptotic behavior and dynamic stability of phase mixtures for the equations of Navier–Stokes with nonmonotonic pressure

机译：非单调Navier-Stokes方程相混合的渐近行为和动态稳定性

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We investigate the asymptotic behavior of the solutions of the compressible Navier- Stokes equations with nonmonotonic pressure when the initial data is large and discontinuous. We provide sufficient conditions on the pressure function for different boundary-value problems that guarantee strong convergence of the volume variable as time approaches infinity and show that,typically, fairly arbitrary discontinuous static phase mixtures can be realized as time-asymptotic limits from smooth initial data. It is required in the analysis that we improve known existence theories, which typically have small data or time-dependent bounds.

机译：当初始数据较大且不连续时，我们研究了具有非单调压力的可压缩Navier-Stokes方程解的渐近行为。我们为不同的边值问题提供了压力函数的充分条件，以保证随着时间接近无穷大而使体积变量有很强的收敛性，并表明，从光滑的初始数据来看，通常可以将相当任意的不连续静态相混合物实现为时间渐近极限。。在分析中，我们需要改进已知的存在理论，这些理论通常具有较小的数据或与时间有关的界限。

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《ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees》 |2007年第5期|共11页
作者
Eugene Tsyganov;
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正文语种 eng
中图分类应用数学;
关键词
Compressible Navier-Stokes equations; nonmonotonic pressure; asymptotic behavior; phase transition;

机译：可压缩的Navier-Stokes方程非单调压力渐近行为相变;

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1. Asymptotic behavior and dynamic stability of phase mixtures for the equations of Navier–Stokes with nonmonotonic pressure [J] . Eugene Tsyganov ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees . 2007,第5期

机译：非单调Navier-Stokes方程相混合的渐近行为和动态稳定性
2. ASYMPTOTIC STABILITY OF A VISCOUS CONTACT WAVE FOR THE ONE-DIMENSIONAL COMPRESSIBLE NAVIER-STOKES EQUATIONS FOR A REACTING MIXTURE [J] . Lishuang PENG 数学物理学报（英文版） . 2020,第005期

机译：一维可压缩纳维斯托克斯方程的黏性接触波的渐近稳定性
3. Asymptotic behavior for the Stokes flow and Navier-Stokes equations in half spaces [J] . Han P. Journal of Differential Equations . 2010,第8期

机译：半空间中Stokes流和Navier-Stokes方程的渐近行为
4. ON THE STABILITY AND ASYMPTOTIC STABILITY OF STEADY SOLUTIONS OF THE NAVIER-STOKES EQUATIONS IN UNBOUNDED DOMAINS [C] . F. CRISPO Meeting on Waves and Stability in Continuous Media . 2006

机译：关于无界域的Navier-Stokes方程稳态和渐近稳定性
5. MULTIPHASE BEHAVIOR IN TERNARY FLUID MIXTURES (BEHAVIOR, EQUATION OF STATE, PHASE STABILITY, EQUILIBRIUM, SUPERCRITICAL EXTRACTION). [D] . DIANDRETH, JAMES RICHARD. 1985

机译：三元流体混合物中的多相行为（行为，状态方程，相稳定性，平衡，超临界萃取）。
6. A Dynamic Model of Drag Force for Catalytic Micromotors Based on Navier–Stokes Equations [O] . Zhen Wang, Qingjia Chi, Tao Bai, 2018

机译：基于Navier-Stokes方程的催化微电机阻力的动力学模型
7. Global existence and asymptotic convergence of weak solutions for the one-dimensional Navier–Stokes equations with capillarity and nonmonotonic pressure [O] . Tsyganov Eugene 2008

机译：一维带有毛细作用和非单调压力的Navier-Stokes方程的弱解的整体存在和渐近收敛

Asymptotic behavior and dynamic stability of phase mixtures for the equations of Navier–Stokes with nonmonotonic pressure

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