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Speaker:

周忆 教授,复旦大学数学科学学院

Inviter: 王益 研究员
Title:
Global Instability of the Multi-dimensional Plane Shocks for the Isothermal Flow
Time & Venue:

2019.10.12 9:00 N205

Abstract:

In this paper, we are concerned with the long time behavior of the piecewise smooth solutions to the generalized Riemann problem governed by the compressible isothermal Euler equations in two and three dimensions. Non-existence result is established for the fan-shaped wave structure solution, including two shocks and one contact discontinuity and which is a perturbation of plane waves.
Therefore, unlike the one-dimensional case, the multi-dimensional plane shocks are not stable globally. What is more, the sharp lifespan estimate is established which is the same as the lifespan estimate for the nonlinear wave equations in both two and three space dimensions.

Affiliation:  

学术报告中国科学院数学与系统科学研究院日搏官网

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