论文标题
具有非本地力的无压力欧拉方程的摩擦极限
Large friction limit of pressureless Euler equations with nonlocal forces
论文作者
论文摘要
我们严格地显示出具有对齐，有吸引力和排斥作用的流体动力模型的巨大摩擦极限。更准确地说，我们考虑具有非本地力的无压力Euler方程，并为具有非局部速度场的连续性方程提供了大摩擦极限的定量估计，这通常称为聚集方程。我们的主要策略依赖于相对的熵参数，以及密度之间的$ p $ wasserstein距离的估计。
We rigorously show a large friction limit of hydrodynamic models with alignment, attractive, and repulsive effects. More precisely, we consider pressureless Euler equations with nonlocal forces and provide a quantitative estimate of large friction limit to a continuity equation with nonlocal velocity fields, which is often called an aggregation equation. Our main strategy relies on the relative entropy argument combined with the estimate of $p$-Wasserstein distance between densities.
