论文标题
在具有奇异速度对齐的全球经典解决方案上
On the global classical solution to compressible Euler system with singular velocity alignment
论文作者
论文摘要
我们认为具有奇异速度比对的可压缩欧拉系统，称为欧拉对准系统，描述了大动物群的植入行为。我们为该系统建立了当地良好的理论，以及用于小型初始数据的全球范围良好的理论。我们还显示了渐近种群的行为，其中溶液在及时会呈恒定的稳态收敛。
We consider a compressible Euler system with singular velocity alignment, known as the Euler-alignment system, describing the flocking behaviors of large animal groups. We establish a local well-posedness theory for the system, as well as a global well-posedness theory for small initial data. We also show the asymptotic flocking behavior, where solutions converge to a constant steady state exponentially in time.
