论文标题
非本地标量保护法与不连续的通量
Non-local scalar conservation laws with discontinuous flux
论文作者
论文摘要
我们证明了熵弱解决方案在一类空间界面标量保护定律中具有非局部通量的弱解决方案。我们近似添加粘度项的问题，并为近似解决方案提供$ l^\ infty $和BV估算。我们使用可变技术的加倍来证明与熵条件的初始数据相对于稳定性。
We prove the well-posedness of entropy weak solutions for a class of space-discontinuous scalar conservation laws with non-local flux arising in traffic modeling. We approximate the problem adding a viscosity term and we provide $L^\infty$ and BV estimates for the approximate solutions. We use the doubling of variable technique to prove the stability with respect to the initial data from the entropy condition.
