Local Solvability of the Problem of the Van Der Waals Gas Flow Around an Infinite Plane Wedge in the Case of a Weak Shock Wave

被引:2
|
作者
Blokhin, A. M. [1 ]
Tkachev, D. L. [1 ]
Yegitov, A. V. [1 ]
机构
[1] Novosibirsk State Univ, Sobolev Inst Math, Novosibirsk, Russia
关键词
van der Waals gas; flow around an infinite plane wedge; weak shock wave; nonstationary problem; local-in-time well-posedness; SUPERSONIC-FLOW; STABILITY CONDITION;
D O I
10.1134/S0037446618060022
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Studying the problem of a stationary supersonic van der Waals gas flow around an infinite plane wedge, we prove the local-in-time well-posedness of the generalized statement of the problem.
引用
收藏
页码:960 / 982
页数:23
相关论文
共 22 条
  • [1] Local Solvability of the Problem of the Van Der Waals Gas Flow Around an Infinite Plane Wedge in the Case of a Weak Shock Wave
    A. M. Blokhin
    D. L. Tkachev
    A. V. Yegitov
    [J]. Siberian Mathematical Journal, 2018, 59 : 960 - 982
  • [2] The strong shock wave in the problem on flow around infinite plane wedge
    Tkachev, D. L.
    Blokhin, A. M.
    Pashinin, Y. Y.
    [J]. HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS: PROCEEDINGS OF THE 11TH INTERNATIONAL CONFERENCE ON HYPERBOLIC PROBLEMS, 2008, : 1037 - 1044
  • [3] Diffraction of a weak shock by a wedge in a van der Waals gas
    Gupta, Neelam
    Sharma, V. D.
    [J]. IMA JOURNAL OF APPLIED MATHEMATICS, 2016, 81 (05) : 824 - 841
  • [4] Shock Wave in van der Waals Gas
    Avramenko, Andriy A.
    Shevchuk, Igor, V
    Dmitrenko, Nataliya P.
    [J]. JOURNAL OF NON-EQUILIBRIUM THERMODYNAMICS, 2022, 47 (03) : 255 - 267
  • [5] Stability condition for strong shock waves in the problem of flow around an infinite plane wedge
    Blokhin, A. M.
    Tkachev, D. L.
    Pashinin, Yu. Yu.
    [J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2008, 2 (01) : 1 - 17
  • [6] The problem of flow about infinite plane wedge with inviscous non-heat-conducting gas. Linear stability of a weak shock wave
    Tkachev, Dmitry L.
    Blokhin, Alexander M.
    [J]. PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON DAYS ON DIFFRACTION 2016 (DD), 2016, : 410 - 415
  • [7] Numerical analysis of feasibility of the neutral stability conditions for shock waves in the problem of a van der waals gas flow past a wedge
    Blokhin A.M.
    Bychkov A.S.
    Myakishev V.O.
    [J]. Journal of Applied and Industrial Mathematics, 2013, 7 (2) : 131 - 141
  • [8] Structure and stability of a spherical shock wave in a van der Waals gas
    Wu, CC
    Roberts, PH
    [J]. QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1996, 49 : 501 - 543
  • [9] Linear Stability of a Weak Shock Wave Appearing in Flow over an Infinite Plane Wedge (Lopatinski Condition is Fulfilled on the Shock)
    Blokhin, Alexander
    Tkachev, Dmitry
    [J]. INTERNATIONAL CONFERENCE ON THE METHODS OF AEROPHYSICAL RESEARCH (ICMAR 2016), 2016, 1770
  • [10] Stability of an imploding spherical shock wave in a Van der Waals gas II
    Somogyi, Zoltan
    Roberts, Paul H.
    [J]. QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 2007, 60 : 289 - 309