摘要
In this article,we are concerned with analytical solutions for a model of inviscid liquid-gas two-phase flow.On the basis of Yuen’s works[25,27–29]on self-similar solutions for compressible Euler equations,we present some special self-similar solutions for a model of inviscid liquid-gas two-phase flow in radial symmetry with and without rotation,and in elliptic symmetry without rotation.Some blowup phenomena and the global existence of the solutions obtained are classified.
作者
Jianwei DONG
Manwai YUEN
董建伟;阮文威(School of Mathematics,Zhengzhou University of Aeronautics,Zhengzhou 450015,China;Department of Mathematics and Information Technology,The Education University of Hong Kong,10 Lo Ping Road,Tai Po,New Territories,Hong Kong,China)
基金
supported by the Project of Youth Backbone Teachers of Colleges and Universities in Henan Province(2019GGJS176)
the Natural Science Foundation of Henan Province Science and Technology Department(162300410077)
the Outstanding Youth Foundation of Science and Technology Innovation of Henan Province(2018JQ0004)
the Aeronautical Science Foundation of China(2017ZD55014)
the Basic Research Projects of Key Scientific Research Projects Plan in Henan Higher Education Institutions(20zx003)
the Internal Research Grant from the Education University of Hong Kong(RG 15/2018-2019R)。
