论文标题
具有强密度边界层的粘性等离子体的Navier-Stokes-Poisson方程的奇异极限
Singular Limits for the Navier-Stokes-Poisson Equations of Viscous Plasma with Strong Density Boundary Layer
论文作者
论文摘要
Navier-Stokes-Poisson系统的准中性极限对粘性等离子体建模，在半空间$ \ Mathbb {r}^{3} _ {+} $中消失的粘度系数在速度和电势边界的Navier-Slip-Slip边界条件下进行了严格证明。这是通过建立近似溶液的非线性稳定性来实现的，该近似溶液涉及密度和电势中的强边界层，这是由于边界附近的准中等性的分解而来，并处理了强度边界层与速度弱边界层弱边界层相互作用的难度。
The quasi-neutral limit of the Navier-Stokes-Poisson system modeling a viscous plasma with vanishing viscosity coefficients in the half-space $\mathbb{R}^{3}_{+}$ is rigorously proved under a Navier-slip boundary condition for velocity and the Dirichlet boundary condition for electric potential. This is achieved by establishing the nonlinear stability of the approximation solutions involving the strong boundary layer in density and electric potential, which comes from the break-down of the quasi-neutrality near the boundary, and dealing with the difficulty of the interaction of this strong boundary layer with the weak boundary layer of the velocity field.
