Nonlinear wave interactions for a model of extended thermodynamics with six fields

被引：5
作者：
Curro, C. [1 ]
Manganaro, N. [1 ]
机构：
[1] Univ Messina, MIFT, Messina, Italy
来源：
RICERCHE DI MATEMATICA | 2019年 / 68卷 / 01期
关键词：
Hyperbolic systems; Double wave solutions; Nonlinear wave interactions;
D O I：
10.1007/s11587-018-0391-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A nonlinear model of extended thermodynamics with six fields without the near-equilibrium approximation, in one dimensional case, is considered. A class of double wave solutions of the governing system at hand is determined and an exact description of a soliton-like wave interaction is given.
引用
收藏
页码：131 / 143
页数：13
相关论文
共 29 条
  • [1] [Anonymous], 1958, FLUID MECH
  • [2] Extended thermodynamics of dense gases
    Arima, T.
    Taniguchi, S.
    Ruggeri, T.
    Sugiyama, M.
    [J]. CONTINUUM MECHANICS AND THERMODYNAMICS, 2012, 24 (4-6) : 271 - 292
  • [3] Recent results on nonlinear extended thermodynamics of real gases with six fields Part I: general theory
    Arima T.
    Ruggeri T.
    Sugiyama M.
    Taniguchi S.
    [J]. Ricerche di Matematica, 2016, 65 (1) : 263 - 277
  • [4] Non-linear extended thermodynamics of real gases with 6 fields
    Arima, Takashi
    Ruggeri, Tommaso
    Sugiyama, Masaru
    Taniguchi, Shigeru
    [J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2015, 72 : 6 - 15
  • [5] Boillat G, 1995, RECENT MATHEMATICAL
  • [6] COURANT R, 1962, SUPERSONIC FLOWS SHO
  • [7] Double-wave solutions to quasilinear hyperbolic systems of first-order PDEs
    Curro, C.
    Manganaro, N.
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2017, 68 (05):
  • [8] Nonlinear wave interaction problems in the three-dimensional case
    Curro, C.
    Manganaro, N.
    Pavlov, M. V.
    [J]. NONLINEARITY, 2017, 30 (01) : 207 - 224
  • [9] Exact description of simple wave interactions in multicomponent chromatography
    Curro, C.
    Fusco, D.
    Manganaro, N.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2015, 48 (01)
  • [10] Riemann problems and exact solutions to a traffic flow model
    Curro, C.
    Manganaro, N.
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2013, 54 (07)
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