国家天元数学中部中心偏微分方程系列报告 | 吴国春 副教授(华侨大学)

发布时间: 2022-10-24 10:11

报告:On Stability and Instability for a Generic Non-conservative Compressible Two-fluid Model

报告时间:2022-11-04  16:00 - 17:00

报告人:吴国春 副教授   华侨大学

腾讯会议ID953-6730-7604  会议密码:1104

报告链接:https://meeting.tencent.com/dm/ZA93IvnAaFNZ

Abstract:In this paper, we investigate the stability and instability for a generic non-conservative compressible two-fluid model. Under the condition that the initial fraction densities are close to the constant equilibrium state in H3 and the initial velocities are small in H2 ̇, we establish the global existence and large time behavior of strong solutions by the energy method if 0≤s<1/2 . On the other hand, we show that the steady-state is nonlinear unstable in the sense of Hadamard if 1/2<s≤1.