主讲人: Prof. Akitaka Matsumura

单位：Osaka Unversity

时间：2013年8月23日16:00

地点：西北大学非线性科学研究中心 学术报告厅（312）

摘  要: In this talk, we show our recent works with Natusmi Yoshida on the asymptotic behavior of solutions to the Cauchy problems for the scalar viscous conservation law, where the far field states are prescribed. In particular, we treat the cases where the flux function is convex but linearly degenerate on some interval, and the corresponding Riemann solution consists of a contact discontinuity and rarefaction waves. As for the viscosity term, we treat the cases with either a standard linear viscosity or a nonlinearly degenerate viscosity term (p-Laplacian type viscosity (p>1)). Then, for the standard linear viscosity (resp. the nonlinearly degenerate viscosity), the solution of the viscous conservation law is shown to asymptotically tend toward a multi-wave pattern consisting of the rarefaction waves and a corresponding viscous contact wave which is constructed by an integration of the linear heat kernel (resp. the Barenblatt solution of the porous medium equation).

欢迎广大师生参加！