论文标题
具有非局部压力的修饰的瓦斯泰因距离和多孔培养基方程的梯度流动
Gradient flows of modified Wasserstein distances and porous medium equations with nonlocal pressure
论文作者
论文摘要
我们研究具有非局部压力的多孔培养基方程家族。我们通过JKO方案构建了他们的弱解决方案，以进行修改的Wasserstein距离。我们还建立了$ l^p $规范的正则化效果和衰减估计。
We study families of porous medium equation with nonlocal pressure. We construct their weak solutions via JKO schemes for modified Wasserstein distances. We also establish the regularization effect and decay estimates for the $L^p$ norms.
