Nonlocal Conservation Laws in Bounded Domains
Nonlocal Conservation Laws in Bounded Domains
复制标题
有界域中的非局域守恒定律
DOI：
10.1137/18m1171783
复制
发表时间：
2017
期刊：
影响因子：
--
通讯作者：
E. Rossi
中科院分区：
文献类型：
--
作者：
R. Colombo;E. Rossi
证明了一类非局部守恒律系统在有界域上的适定性，并给出了各种稳定性估计。这种构造的动机是对人群动力学进行建模，这也导致定义一个适应边界存在的非局部算子。数值积分表明，所得到的模型提供了定性合理的解。
The well posedness for a class of non local systems of conservation laws in a bounded domain is proved and various stability estimates are provided. This construction is motivated by the modelling of crowd dynamics, which also leads to define a non local operator adapted to the presence of a boundary. Numerical integrations show that the resulting model provides qualitatively reasonable solutions.