We present and analyze a new finite volume scheme of Gudonov-type for a nonlinear scalar conservation law whose flux function has a discontinuous coefficient due to time-dependent changes in its sign along a Lipschitz continuous curve.

翻译：我们提出并分析了一种新的Godunov型有限体积格式，用于处理通量函数因沿Lipschitz连续曲线随时间变化的符号间断而具有不连续系数的非线性标量守恒律。