Existence and nonlinear stability of stationary solutions to the full two-phase flow model in a half line

被引:0
|
作者
Li, Hai-Liang [1 ,2 ]
Zhao, Shuang [1 ,2 ]
机构
[1] School of Mathematical Sciences, Capital Normal University, Beijing,100048, China
[2] Academy for Multidisciplinary Studies, Capital Normal University, Beijing,100048, China
基金
中国国家自然科学基金;
关键词
Nonlinear analysis;
D O I
暂无
中图分类号
O35 [流体力学];
学科分类号
080103 ; 080704 ;
摘要
The inflow problem for the full two-phase model in a half line is investigated in this paper. The existence and uniqueness of the stationary solution are shown and its nonlinear stability of the stationary solution is established for the small perturbation. © 2021 Elsevier Ltd
引用
收藏
相关论文
共 50 条
  • [21] On analytical solutions of a two-phase mass flow model
    Hajra, Sayonita Ghosh
    Kandel, Santosh
    Pudasaini, Shiva P.
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2018, 41 : 412 - 427
  • [22] Existence and stability of travelling wave solutions in a kinetic modeling of two-phase flows
    Domelevo, K
    Roquejoffre, JM
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1997, 324 (03): : 371 - 376
  • [23] EXISTENCE OF POSITIVE SOLUTIONS FOR NONLINEAR FRACTIONAL PROBLEM ON THE HALF LINE
    Belarbi, S.
    ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2015, 84 (01): : 1 - 12
  • [24] GLOBAL EXISTENCE FOR A TWO-PHASE FLOW MODEL WITH CROSS-DIFFUSION
    Daus, Esther S.
    Milisic, Josipa-Pina
    Zamponi, Nicola
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2020, 25 (03): : 957 - 979
  • [25] Optimal decay rate of solutions to the two-phase flow model
    Wu, Yakui
    Zhang, Yue
    Tang, Houzhi
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (02) : 2538 - 2568
  • [26] Solutions to a two-phase mass flow model with generalized drag
    Hajra, Sayonita Ghosh
    Kandel, Santosh
    Pudasaini, Shiva P.
    INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2024, 167
  • [27] Existence of viscosity solutions to two-phase problems for fully nonlinear equations with distributed sources
    Salsa, Sandro
    Tulone, Francesco
    Verzini, Gianmaria
    MATHEMATICS IN ENGINEERING, 2018, 1 (01): : 147 - 173
  • [28] STABILITY OF TWO-PHASE FLOW MODELS
    Jin, Hyeonseong
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2007, 22 (04): : 587 - 596
  • [29] Existence of weak solutions for nonisothermal immiscible compressible two-phase flow in porous media
    Amaziane, B.
    Jurak, M.
    Pankratov, L.
    Piatnitski, A.
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2025, 85
  • [30] Existence and uniqueness of global weak solution to a two-phase flow model with vacuum
    Yao, Lei
    Zhu, Chang Jiang
    MATHEMATISCHE ANNALEN, 2011, 349 (04) : 903 - 928