偏微分方程报告(10.8)

1. 题目: Compressible Navier-Stokes equations with inflow conditions

报告人: Piotr B. Mucha (University of Warsaw, Poland)

时间: 2015年10月8日下午3:00-4:00.

地点:后主楼1124.

摘要: I would like to tell about the boundary value problem for the compressible Navier-Stokes system with inhomogeneous boundary condition admitting the in/out-flow conditions. We study the solutions around spacial states and then we aim at showing stability of such flows under small perturbations. It appears the problem is not elementary and we observe the character of hyperbolicity of the model. I would like to discuss some technique which can be applied to overcome the main obstacles in the analysis of this issue.

2. 题目: Blowup phenomena in conservation laws with fractional Laplacian and nonlocal fluxes

报告人: Grzegorz Karch (University of Wroclaw, POLAND)

时间: 2015年10月8日下午4:00-5:00.

地点: 后主楼1124.

摘要:I shall present some recent results on a blowup of solutions to the nonlinear evolution equation, which in a particular case, reduces to the celebrated parabolic-elliptic model of chemotaxis. I shall present a certain technique which allows us to show that sufficiently well-concentrated initial conditions lead to solutions which blowup in a finite time.

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