报告题目：Steady-state Navier-Stokes flow in an obstructed pipe under mixed boundary conditions and with a prescribed transversal flux rate

报告简介：The steady motion of a viscous incompressible fluid in an obstructed finite pipe is modeled through the Navier-Stokes equations with mixed boundary conditions involving the Bernoulli pressure and the tangential velocity on the inlet and outlet of the tube, while a transversal flux rate F is prescribed along the pipe. Existence of a weak solution to such Navier-Stokes system is proved without any restriction on the data by means of the Leray-Schauder Principle, in which the required a priori estimate is obtained by a contradiction argument based on Bernoulli’s law. Through variational techniques and with the use of an exact flux carrier, an explicit upper bound on F (in terms of the viscosity, diameter and length of the tube) ensuring the uniqueness of such weak solution is given. This upper bound is shown to converge to zero at a given rate as the length of the pipe goes to infinity. In an axially symmetric framework, we also prove the existence of a weak solution displaying rotational symmetry.

报告人：Gianmarco Silvio，2014年本科毕业于智利大学，2019年博士毕业于米兰理工大学，目前任职于米兰理工大学，已在ARMA,JMPA,CVPDE,JDE等多个著名杂志发表学术论文。

报告时间：2024年1月3日（星期三）下午 14:30-17:30

报告地点：扬州大学数学科学学院208

主办单位：扬州大学数学科学学院

联系人：唐童

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