In the present paper, we prove convergence rates for the Local Discontinuous Galerkin (LDG) approximation, proposed in Part I of the paper, for systems of $p$-Navier-Stokes type and $p$-Stokes type with $p\in (2,\infty)$. The convergence rates are optimal for linear ansatz functions. The results are supported by numerical experiments.

翻译：本文证明了在第一部分提出的局部间断Galerkin（LDG）逼近对于$p\in (2,\infty)$的$p$-Navier-Stokes型和$p$-Stokes型系统的收敛速度。对于线性试探函数，该收敛速度是最优的。数值实验验证了上述结果。