ASYMPTOTIC ANALYSIS FOR 1D COMPRESSIBLE NAVIER-STOKES-VLASOV EQUATIONS

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ASYMPTOTIC ANALYSIS FOR 1D COMPRESSIBLE NAVIER-STOKES-VLASOV EQUATIONS

机译：1D压缩Navier-Stokes-Vlasov方程的渐近分析

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In this paper, we study the asymptotic analysis of 1D compressible Navier-Stokes-Vlasov equations. By taking advantage of the one space dimension, we obtain the hydrodynamic limit for compressible Navier-Stokes-Vlasov equations with the pressure P(rho) = A rho(gamma) (gamma > 1). The proof relies on weak convergence method.

机译：在本文中，我们研究了1D压缩Navier-Stokes-Vlasov方程的渐近分析。通过利用一个空间尺寸，我们利用压力p（rho）= rho（γ）（γ> 1）获得压缩Navier-Stokes-Vlasov方程的流体动力学极限。证明依赖于弱收敛方法。

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《Communications on pure and applied analysis》 |2020年第5期|共14页
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正文语种 eng
中图分类数学;
关键词
Asymptotic analysis; compressible Navier-Stokes-Vlasov equations; weak solutions;

机译：渐近分析;可压缩Navier-Stokes-Vlasov方程;弱解决方案;

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1. ASYMPTOTIC ANALYSIS FOR 1D COMPRESSIBLE NAVIER-STOKES-VLASOV EQUATIONS [J] . Communications on pure and applied analysis . 2020,第5期

机译：1D压缩Navier-Stokes-Vlasov方程的渐近分析
2. An asymptotic expansion for 1D steady compressible Navier-Stokes equations under nonuniform enthalpy [J] . Mathematical Methods in the Applied Sciences . 2020,第9期

机译：非均匀焓下的1D稳态可压缩Navier-Stokes方程的渐近扩展
3. Regularity and asymptotic behavior of 1D compressible Navier-Stokes-Poisson equations with free boundary [J] . Wu Z. Journal of Mathematical Analysis and Applications . 2011,第1期

机译：具有自由边界的一维可压缩Navier-Stokes-Poisson方程的正则性和渐近行为
4. Global solvability of 1D equations of viscous compressible multi-fluids [C] . A Mamontov, D Prokudin All-Russian Conference with International Participation on Modern Problems of Continuum Mechanics and Explosion Physics . 2017

机译：粘性可压缩多流体1D方程的全局可溶性
5. Analysis of a 1D approximation of the Boltzmann equation: The subclass of grossly determined solutions and the asymptotic behavior of the class of general solutions. [D] . Carty, Thomas E. 2013

机译：Boltzmann方程的一维逼近分析：总体确定解的子类和一般解的类的渐近行为。
6. Asymptotic Analysis of Coagulation–Fragmentation Equations of Carbon Nanotube Clusters [O] . Francisco Torrens, Gloria Castellano 2007

机译：碳纳米管团簇的凝聚-破碎方程的渐近分析
7. Regularity and asymptotic behavior of 1D compressible Navier–Stokes–Poisson equations with free boundary [O] . Wu Zhigang 2011

机译：具有自由边界的一维可压缩Navier–Stokes–Poisson方程的正则性和渐近行为

ASYMPTOTIC ANALYSIS FOR 1D COMPRESSIBLE NAVIER-STOKES-VLASOV EQUATIONS

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