报告题目： Low Mach number Limit of Steady Thermally Driven Fluid

报 告 人：王维强 博士（匹兹堡大学）

报告时间：2025年6月6日（星期五）10：25-11：10

报告地点：格物楼528报告厅

报告摘要： 

    We consider the existence of strong solutions to the steady non-isentropic compressible Navier-Stokes system with Dirichlet boundary conditions in bounded domains where the fluid is driven by the wall temperature, and study its low Mach number limit, i.e., $\varepsilon\to 0$.  Based on a new expansion with respect to $\varepsilon$ and an elegant $\varepsilon-$dependent higher order energy estimates, we establish the existence of the strong solutions and justify its low Mach number limit  in $L^{\infty}$ sense with a rate of convergence. Notably, for the limiting system obtained in the low Mach number limit, the variation of the wall temperature is allowed to be independent of the Mach number. It is also worth pointing out that the velocity field $u_{1}$ acts like a ghost since it appears at $\varepsilon$-order in the expansion, but still affects the density and temperature at $O(1)$-order.

报告人简介：

    王维强，博士毕业于中国科学院数学与系统科学研究院，现为匹兹堡大学博士后，研究方向为非线性偏微分方程中的奇异极限问题。在《Commun. Math. Phys.》、《SIAM J. Math. Anal.》、《Sci. China Math.》等期刊上发表多篇学术论文。