Global existence of solutions for the coupled Vlasov and Navier-Stokes equations
Global existence of solutions for the coupled Vlasov and Navier-Stokes equations
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DOI：
10.57262/die/1356019415
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发表时间：
2009-11
影响因子：
1.4
通讯作者：
L. Boudin;L. Desvillettes;Céline Grandmont;A. Moussa
中科院分区：
文献类型：
--
作者：
L. Boudin;L. Desvillettes;Céline Grandmont;A. Moussa
在这项工作中，我们获得了三维不可压缩 Vlasov-Navier-Stokes 方程弱解的全局存在性结果，耦合是通过相对于流体和粒子的相对速度呈线性的曳力完成的。
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 fluid and particles.