论文标题
根据标量保护法的有限透明解决方案的最佳规律性估计
On optimal regularity estimates for finite-entropy solutions of scalar conservation laws
论文作者
论文摘要
我们考虑标量保护定律的有限 - 融合解决方案$ u_t +a（u）_x = 0 $，即熵生产的有限弱解决方案，其熵生产是局部有限的ra。在假设通量函数$ a $的假设下，严格凸（可能是退化的凸度）和$ a''$构成双倍度量，我们根据涉及Golse和Perthame首先使用的最佳常规估算功能来获得有限渗透性解决方案的表征。
We consider finite-entropy solutions of scalar conservation laws $u_t +a(u)_x =0$, that is, bounded weak solutions whose entropy productions are locally finite Radon measures. Under the assumptions that the flux function $a$ is strictly convex (with possibly degenerate convexity) and $a''$ forms a doubling measure, we obtain a characterization of finite-entropy solutions in terms of an optimal regularity estimate involving a cost function first used by Golse and Perthame.
