Global existence of weak solutions to the drift-flux system for general pressure laws

作     者：Hailiang Li Lingyun Shou 

作者机构：School of Mathematical SciencesCapital Normal UniversityBeijing 100048China Academy for Multidisciplinary StudiesCapital Normal UniversityBeijing 100048China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2023年第66卷第2期

页      面：251-284页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11931010,11671384 and 11871047) the key research project of Academy for Multidisciplinary Studies,Capital Normal University the Capacity Building for Sci-Tech Innovation-Fundamental Scientific Research Funds(Grant No.007/20530290068) 

主　　题：two-phase flow drift-flux model global weak solution non-monotone pressure law quantitative regularity estimate 

摘      要：The initial value problem of the multi-dimensional drift-flux model for two-phase flow is investigated in this paper,and the global existence of weak solutions with finite energy is established for general pressure-density functions without the monotonicity assumption.