论文标题
汉堡方程的熵缺陷措施的重组能力
The rectifiability of the entropy defect measure for Burgers equation
论文作者
论文摘要
我们考虑到汉堡方程的有界弱解，每个熵耗散都可以通过度量表示，我们证明所有这些度量都集中在许多Lipschitz曲线的图表上。主要工具是Lagrangian表示形式，它是对非平滑设置的特性方法的扩展。
We consider bounded weak solutions to the Burgers equation for which every entropy dissipation is representable by a measure and we prove that all these measures are concentrated on the graphs of countably many Lipschitz curves. The main tool is the Lagrangian representation, which is an extension of the method of characteristics to the non-smooth setting.
