论文标题
一维压缩的Navier-Stokes-vlasov系统的全球适应性
Global well-posedness of one-dimensional compressible Navier-Stokes-Vlasov system
论文作者
论文摘要
本文研究了流体粒子模型，该论文由可压缩的Navier-Stokes方程组成，并通过非线性阻力为vlasov方程组成。我们考虑了一维压缩的Navier-Stokes-Vlasov系统的初始值问题，并在空间周期性域或空间真实线中建立了弱解决方案的全局存在和唯一性，这被证明是常规初始数据的经典解决方案。
A fluid-particle model is investigated in the present paper, which consists of the compressible Navier-Stokes equations coupled with the Vlasov equation though a nonlinear drag force. We consider the initial value problem for the one-dimensional compressible Navier-Stokes-Vlasov system and establish the global existence and uniqueness of the weak solution for general initial data in either spatial periodic domain or spatial real line, which is shown to be a classical solution for regular initial data.
