报告题目:Nonlinear Stability of Large Perturbation Around Viscous Shock Wave for 2-D Scalar Viscous Conservation Law
报 告 人:王维克 教授(上海交通大学)
报告时间:2016年6月06日(星期一)上午10:30-11:30
报告地点:4号楼4318室
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数学学院
2016年06月03日
报告摘要:
In this talk, we are interested in nonlinear stability of large perturbation around the planar shock wave for scalar viscous conservation law in two dimensions. We prove that the problem always admits a global classical solution for the large initial perturbation, and then to obtain the decay rates of solution. The idea of the proof is using a technique combining the semigroup approach and the energy method to get some smallness estimates, and then to obtain the asymptotic behavior .