论文标题
通过消失的粘度和应用中的霍尔德空间中的传输方程
Transport equations in Hölder space by vanishing viscosity and applications
论文作者
论文摘要
通过消失的粘度分析，我们获得了传输方程的溶液的急剧极限。我们还获得了抛物线方程和无粘性汉堡方程的相同控制。最终，在系数上的结构假设下，我们提供了Hölder连续解决方案的存在和独特性。
We obtain a sharp limit Hölder continuity of the solution for the transport equations thanks to a vanishing viscosity analysis. We also derive the same control for parabolic equations and for inviscid Burgers' equation. Eventually, under a structural hypothesis on the coefficients, we provide existence and uniqueness of a Hölder continuous solution.
