SPACE-TIME BEHAVIOR FOR RADIATIVE HYDRODYNAMICS MODEL WITH OR WITHOUT HEAT CONDUCTION

被引:2
|
作者
Liu, Mengqian [1 ]
Wu, Zhigang [1 ]
机构
[1] Donghua Univ, Dept Math, Shanghai 201620, Peoples R China
基金
中国国家自然科学基金; 上海市自然科学基金;
关键词
Green's function; radiative hydrodynamics model; space-time estimate; PLANAR RAREFACTION WAVES; NAVIER-STOKES EQUATIONS; ASYMPTOTIC STABILITY; GLOBAL EXISTENCE; GREENS-FUNCTION; POISSON SYSTEM; GAS; DECAY; PROPAGATION; CONVERGENCE;
D O I
10.58997/ejde.2023.60
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider space-time behaviors of smooth solutions for the radiative hydrodynamics system with or without heat conduction in the whole space R(3 )by using Green's function method. This result exhibits the generalized Huygens' principle as the classical compressible Navier-Stokes equations [3, 26], which is different from the Hamer model for radiating gases in [36].
引用
收藏
页码:1 / 21
页数:21
相关论文
共 50 条
  • [1] SPACE-TIME NONLOCAL MODEL FOR HEAT-CONDUCTION
    SOBOLEV, SL
    PHYSICAL REVIEW E, 1994, 50 (04): : 3255 - 3258
  • [2] A SPACE-TIME CE/SE METHOD FOR SOLVING HYPERBOLIC HEAT CONDUCTION MODEL
    Qamar, Shamsul
    Ashraf, Waqas
    INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2014, 11 (01)
  • [3] Space-time behavior of the compressible Navier-Stokes equations with hyperbolic heat conduction
    Liu, Mengqian
    Wu, Zhigang
    JOURNAL OF MATHEMATICAL PHYSICS, 2023, 64 (10)
  • [4] The Cattaneo type space-time fractional heat conduction equation
    Teodor Atanacković
    Sanja Konjik
    Ljubica Oparnica
    Dušan Zorica
    Continuum Mechanics and Thermodynamics, 2012, 24 : 293 - 311
  • [5] The Cattaneo type space-time fractional heat conduction equation
    Atanackovic, Teodor
    Konjik, Sanja
    Oparnica, Ljubica
    Zorica, Dusan
    CONTINUUM MECHANICS AND THERMODYNAMICS, 2012, 24 (4-6) : 293 - 311
  • [6] On Application of the Space-Time Finite Element to the Heat Conduction Problems.
    Kaczkowski, Zbigniew
    1600, (31):
  • [7] Global space-time multiquadric method for inverse heat conduction problem
    Li, Zi
    Mao, Xian-Zhong
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2011, 85 (03) : 355 - 379
  • [8] A novel space-time generalized FDM for transient heat conduction problems
    Lei, Jun
    Wang, Qin
    Liu, Xia
    Gu, Yan
    Fan, Chia-Ming
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2020, 119 : 1 - 12
  • [9] Generalized Hydrodynamics with Space-Time Inhomogeneous Interactions
    Bastianello, Alvise
    Alba, Vincenzo
    Caux, Jean-Sebastien
    PHYSICAL REVIEW LETTERS, 2019, 123 (13)
  • [10] INTRINSIC HYDRODYNAMICS WITH APPLICATIONS TO SPACE-TIME FLUIDS
    KIEHN, RM
    INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1975, 13 (11) : 941 - 949