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数学系“60周年”系庆系列报告 Wave phenomena to three-dimensional fluid-particle model

创建时间:  2020/07/31  龚惠英   浏览次数:   返回

    数学系 Seminar 第 1988期

    数学系“60周年”系庆系列报告

报告主题:Wave phenomena to three-dimensional fluid-particle model

报告人:李海梁 教授(长江学者、杰青) (首都师范大学)

报告时间:2020年8月9日(周日) 9:00-10:00

参会方式:Zoom 会议

https://cernet.zoom.com.cn/j/8649755986

会议ID:864 975 5986

主办部门:十大老品牌网赌网站数学系

报告摘要:We investigate the wave phenomena to a fluid-particle model described by the multi-dimensional compressible Euler/Navier-Stokes coupled with the Vlasov-Fokker-Planck equation (Euler-VFP or NS-VFP) through the relaxation drag force on the fluid momentum equation and the Vlasov force on the particle transport. We prove the globally nonlinear time-asymptotical stability of the planar rarefaction wave to 3D Euler-VFP system, which as we know is the first result about the nonlinear stability of basic hyperbolic waves for the multi-dimensional compressible Euler equations with low order dissipative effects (i.e., relaxation friction damping). This new (hyperbolic) wave phenomena comes essentially from the fluid-particle interactions through the relaxation friction damping, which is different from the interesting diffusive phenomena for either the compressible Euler equations with damping or the pure Fokker-Planck equation. Similar phenomena is also shown for 3D compressible NS-VFP, and it is further proved that as the shear and bulk viscosities tend to zero, the global solution to 3D compressible NS-VFP system around the planar rarefaction wave converges to that of 3D Euler-VFP system at the uniform rate with respect to the viscosity coefficients. This is joint work with Teng Wang (BJUT) and Yi Wang (AMSS) .


欢迎教师、学生参加!

上一条:从原子分子水平认识污染物催化处理(环境催化)技术

下一条:数学系“60周年”系庆系列报告 浅谈鲁津猜测


数学系“60周年”系庆系列报告 Wave phenomena to three-dimensional fluid-particle model

创建时间:  2020/07/31  龚惠英   浏览次数:   返回

    数学系 Seminar 第 1988期

    数学系“60周年”系庆系列报告

报告主题:Wave phenomena to three-dimensional fluid-particle model

报告人:李海梁 教授(长江学者、杰青) (首都师范大学)

报告时间:2020年8月9日(周日) 9:00-10:00

参会方式:Zoom 会议

https://cernet.zoom.com.cn/j/8649755986

会议ID:864 975 5986

主办部门:十大老品牌网赌网站数学系

报告摘要:We investigate the wave phenomena to a fluid-particle model described by the multi-dimensional compressible Euler/Navier-Stokes coupled with the Vlasov-Fokker-Planck equation (Euler-VFP or NS-VFP) through the relaxation drag force on the fluid momentum equation and the Vlasov force on the particle transport. We prove the globally nonlinear time-asymptotical stability of the planar rarefaction wave to 3D Euler-VFP system, which as we know is the first result about the nonlinear stability of basic hyperbolic waves for the multi-dimensional compressible Euler equations with low order dissipative effects (i.e., relaxation friction damping). This new (hyperbolic) wave phenomena comes essentially from the fluid-particle interactions through the relaxation friction damping, which is different from the interesting diffusive phenomena for either the compressible Euler equations with damping or the pure Fokker-Planck equation. Similar phenomena is also shown for 3D compressible NS-VFP, and it is further proved that as the shear and bulk viscosities tend to zero, the global solution to 3D compressible NS-VFP system around the planar rarefaction wave converges to that of 3D Euler-VFP system at the uniform rate with respect to the viscosity coefficients. This is joint work with Teng Wang (BJUT) and Yi Wang (AMSS) .


欢迎教师、学生参加!

上一条:从原子分子水平认识污染物催化处理(环境催化)技术

下一条:数学系“60周年”系庆系列报告 浅谈鲁津猜测