Surviving time estimates of local classical solutions to compressible Euler equations with logarithmic equation of state

被引:3
作者
Cheung, Ka Luen [1 ]
机构
[1] Educ Univ Hong Kong, Dept Math & Informat Technol, Tai Po, 10 Lo Ping Rd, Hong Kong, Peoples R China
关键词
Surviving time; Euler equations; Logarithmic equation of state; Classical solutions; Cauchy problem; SMOOTH SOLUTIONS; RIEMANN PROBLEM; BLOWUP; SINGULARITIES; IBVP;
D O I
10.1016/j.jmaa.2022.126458
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, two sets of initial conditions that guarantee a positive lower bound and a finite upper bound of existence time of local classical solutions to multidimensional compressible Euler equations with Logarithmic equation of state are established. (C) 2022 Elsevier Inc. All rights reserved.
引用
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页数:11
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共 34 条
  • [1] Solutions with concentration to the Riemann problem for the one-dimensional chaplygin gas equations
    Brenier, Y
    [J]. JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2005, 7 (Suppl 3) : S326 - S331
  • [2] The Logotropic Dark Fluid as a unification of dark matter and dark energy
    Chavanis, Pierre-Henri
    [J]. PHYSICS LETTERS B, 2016, 758 : 59 - 66
  • [3] Finite-time singularity formation for the original multidimensional compressible Euler equations for generalized Chaplygin gas
    Cheung, Ka Luen
    Wong, Sen
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2020, 71 (02):
  • [4] Cheung KL., 2017, ATAM, V12, P51
  • [5] Singularities of solutions to compressible Euler equations with damping
    Dong, Jianwei
    Xue, Hongxia
    Lou, Guangpu
    [J]. EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 2019, 76 : 272 - 275
  • [6] New limit on logotropic unified dark energy models
    Ferreira, V. M. C.
    Avelino, P. P.
    [J]. PHYSICS LETTERS B, 2017, 770 : 213 - 216
  • [7] THE VANISHING PRESSURE LIMITS OF RIEMANN SOLUTIONS TO THE CHAPLYGIN GAS EQUATIONS WITH A SOURCE TERM
    Guo, Lihui
    Li, Tong
    Yin, Gan
    [J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2017, 16 (01) : 295 - 309
  • [8] THE TWO-DIMENSIONAL RIEMANN PROBLEM FOR ISENTROPIC CHAPLYGIN GAS DYNAMIC SYSTEM
    Guo, Lihui
    Sheng, Wancheng
    Zhang, Tong
    [J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2010, 9 (02) : 431 - 458
  • [9] On the global existence and blowup of smooth solutions to the multi-dimensional compressible Euler equations with time-depending damping
    Hou, Fei
    Yin, Huicheng
    [J]. NONLINEARITY, 2017, 30 (06) : 2485 - 2517
  • [10] An alternative to quintessence
    Kamenshchik, A
    Moschella, U
    Pasquier, V
    [J]. PHYSICS LETTERS B, 2001, 511 (2-4) : 265 - 268