We consider inviscid limits to shocks for viscous scalar conservation laws inone space dimension, with strict convex fluxes. We show that we can obtainsharp estimates in $L^2$, for a class of large perturbations and for anybounded time interval. Those perturbations can be chosen big enough to destroythe viscous layer. This shows that the fast convergence to the shock does notdepend on the fine structure of the viscous layers. This is the firstapplication of the relative entropy method developed in [22], [23] to the studyof an inviscid limit to a shock.
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机译：对于具有严格凸通量的一个空间维度上的粘性标量守恒定律，我们考虑了无冲击极限。我们证明，对于一类大扰动和任何无限的时间间隔，我们可以得到$ L ^ 2 $的清晰估计。可以选择足够大的扰动来破坏粘性层。这表明对冲击的快速收敛并不取决于粘性层的精细结构。这是[22]，[23]中开发的相对熵方法在研究冲击的无形极限方面的首次应用。
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