论文标题
在标量保护法的熵解决方案上，不连续的通量
On entropy solutions of scalar conservation laws with discontinuous flux
论文作者
论文摘要
我们将熵解决方案（E.S.）的概念介绍给具有任意跳跃连续磁通量的保护法，并证明存在最大和最小的E.S.的存在。解决库奇问题。还建立了这些解决方案的单调性和稳定性。在定期初始函数的情况下，我们得出了E.S.的独特性。通常，可以侵犯唯一性属性，这是一个例子证实的。最后，我们证明，在单个空间变量的情况下，弱极限是一系列空间周期性e.s的序列。是E.S.也是如此。
We introduce the notion of entropy solutions (e.s.) to a conservation law with an arbitrary jump continuous flux vector and prove existence of the largest and the smallest e.s. to the Cauchy problem. The monotonicity and stability properties of these solutions are also established. In the case of a periodic initial function we derive the uniqueness of e.s. Generally, the uniqueness property can be violated, which is confirmed by an example. Finally, we proved that in the case of single space variable a weak limit of a sequence of spatially periodic e.s. is an e.s. as well.
