GLOBAL EXISTENCE OF SOLUTIONS FOR THE COUPLED VLASOV AND NAVIER-STOKES EQUATIONS

LAURENT BOUDIN; LAURENT DESVILLETTES; CLINE GRANDMONT; AYMAN MOUSSA

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GLOBAL EXISTENCE OF SOLUTIONS FOR THE COUPLED VLASOV AND NAVIER-STOKES EQUATIONS

机译：耦合的VLASOV和NAVIER-STOKES方程解的整体存在性

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摘要

In this work, we obtain a result of global existence for weak solutions of the three-dimensional incompressible Vlasov-Navier-Stokes equations, the coupling being done through a drag force which is linear with respect to the relative velocity of the fluid and particles.

机译：在这项工作中，我们获得了三维不可压缩Vlasov-Navier-Stokes方程的弱解的整体存在性的结果，该耦合是通过相对于流体和颗粒的相对速度呈线性关系的拉力完成的。

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来源
《Differential and integral equations》 |2009年第12期|共25页
作者
LAURENT BOUDIN; LAURENT DESVILLETTES; CLINE GRANDMONT; AYMAN MOUSSA;
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原文格式 PDF
正文语种 eng
中图分类 513B0075;
关键词
global existence; coupling; drag force;

机译：全球存在;耦合;阻力;

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专利

1. GLOBAL EXISTENCE OF SOLUTIONS FOR THE COUPLED VLASOV AND NAVIER-STOKES EQUATIONS [J] . LAURENT BOUDIN, LAURENT DESVILLETTES, CLINE GRANDMONT, Differential and integral equations . 2009,第11a12期

机译：耦合的VLASOV和NAVIER-STOKES方程解的整体存在性
2. From the Highly Compressible Navier-Stokes Equations to Fast Diffusion and Porous Media Equations, Existence of Global Weak Solution for the Quasi-Solutions [J] . Haspot Boris Journal of mathematical fluid mechanics . 2016,第2期

机译：从高度可压缩的Navier-Stokes方程到快速扩散和多孔介质方程，拟解的整体弱解的存在
3. Existence and Uniqueness of Solutions to Heat Equations with Hysteresis Coupled with Navier-Stokes Equations in 2D and 3D [J] . Tsuzuki Yutaka Journal of mathematical fluid mechanics . 2015,第3期

机译：带有2D和3D的Navier-Stokes方程的磁滞热方程解的存在唯一性
4. POROUS MEDIA EQUATIONS, FAST DIFFUSIONS EQUATIONS AND THE EXISTENCE OF GLOBAL WEAK SOLUTION FOR THE QUASI-SOLUTIONS OF COMPRESSIBLE NAVIER-STOKES EQUATIONS [C] . BORIS HASPOT International Conference on Hyperbolic Problems . 2014

机译：多孔介质方程，快速扩散方程以及压缩Navier-Stokes方程准溶液的全局弱解决方案
5. Global existence of solutions with large, discontinuous initial data for the Navier-Stokes equations for compressible fluid flows. [D] . Perepelitsa, Mikhail. 2004

机译：对于可压缩流体流的Navier-Stokes方程，具有大量不连续初始数据的解决方案的全球存在。
6. Existence and global exponential stability of periodic solutions for n-dimensional neutral dynamic equations on time scales [O] . Bing Li, Yongkun Li, Xuemei Zhang -1

机译：时标上n维中立型动力方程周期解的存在性和全局指数稳定性
7. Global existence of smooth solutions for two dimensional Navier-Stokes equations with nondecaying initial velocity (Nonlinear evolution equations and applications) [O] . Giga Yoshikazu, Matsui Shinya, Sawada Okihiro 2001

机译：初始速度不衰减的二维Navier-Stokes方程光滑解的整体存在（非线性发展方程和应用）

GLOBAL EXISTENCE OF SOLUTIONS FOR THE COUPLED VLASOV AND NAVIER-STOKES EQUATIONS

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