论文标题
非线性双曲平衡法中通量的规律性
Regularity of Fluxes in Nonlinear Hyperbolic Balance Laws
论文作者
论文摘要
本文解决了针对非线性双曲保护法制度薄弱解决方案作为整体平衡法律的问题。基本思想是，“有意义的对象”是磁通量，在跨时间间隔内进行了跨域边界的评估。这种处理的基本结果是多维环境中通量迹线的规律性。这意味着薄弱的解决方案确实满足了平衡法。实际上，相对于边界的合适扰动，通量是Lipschitz连续的。
This paper addresses the issue of the formulation of weak solutions to systems of nonlinear hyperbolic conservation laws as integral balance laws. The basic idea is that the "meaningful objects" are the fluxes, evaluated across domain boundaries over time intervals. The fundamental result in this treatment is the regularity of the flux trace in the multi-dimensional setting. It implies that a weak solution indeed satisfies the balance law. In fact, it is shown that the flux is Lipschitz continuous with respect to suitable perturbations of the boundary.
