메뉴 건너뛰기




Volumn 182, Issue 1, 2006, Pages 49-75

Existence of traveling-wave solutions for hyperbolic systems of balance laws

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33746239111     PISSN: 00039527     EISSN: 14320673     Source Type: Journal    
DOI: 10.1007/s00205-006-0430-9     Document Type: Article
Times cited : (13)

References (16)
  • 1
    • 0032347251 scopus 로고    scopus 로고
    • On the shock structure problem for hyperbolic system of balance laws and convex entropy
    • BOILLAT, G., RUGGERI T.: On the shock structure problem for hyperbolic system of balance laws and convex entropy. Contin. Mech. Thermodyn. 10, 285-292 (1998)
    • (1998) Contin. Mech. Thermodyn. , vol.10 , pp. 285-292
    • Boillat, G.1    Ruggeri, T.2
  • 2
    • 0000088106 scopus 로고
    • Some problems in the theory of quasilinear equations
    • GELFAND, I.M.: Some problems in the theory of quasilinear equations. Uspehi Mat. Nauk 14, 87-158 (1959);
    • (1959) Uspehi Mat. Nauk , vol.14 , pp. 87-158
    • Gelfand, I.M.1
  • 3
    • 0000247179 scopus 로고
    • English translations
    • English translations Amer. Math. Soc. Transl. Ser. 2 29, 295-381 (1963)
    • (1963) Amer. Math. Soc. Transl. Ser. 2 , vol.29 , pp. 295-381
  • 5
    • 0001748889 scopus 로고
    • The stable, center-stable, center, center-unstable and unstable manifolds
    • KELLEY, A.: The stable, center-stable, center, center-unstable and unstable manifolds. J. Differential Equations 3, 546-570 (1967)
    • (1967) J. Differential Equations , vol.3 , pp. 546-570
    • Kelley, A.1
  • 6
    • 0016890833 scopus 로고
    • The entropy condition and the admissibility of shocks
    • LIU, T.-P.: The entropy condition and the admissibility of shocks. J. Math. Anal. Appl. 53, 78-88 (1976)
    • (1976) J. Math. Anal. Appl. , vol.53 , pp. 78-88
    • Liu, T.-P.1
  • 7
    • 21544449601 scopus 로고
    • Hyperbolic conservation laws with relaxation
    • LIU, T.-P.: Hyperbolic conservation laws with relaxation. Comm. Math. Phys. 108, 153-175 (1987)
    • (1987) Comm. Math. Phys. , vol.108 , pp. 153-175
    • Liu, T.-P.1
  • 8
    • 0002124586 scopus 로고
    • Stable viscosity matrices for systems of conservation laws
    • MAJDA, A., PEGO, R.L.: Stable viscosity matrices for systems of conservation laws, J. Differential Equations 56, 229-262 (1985)
    • (1985) J. Differential Equations , vol.56 , pp. 229-262
    • Majda, A.1    Pego, R.L.2
  • 10
    • 0039289498 scopus 로고
    • Stable viscosities and shock profiles for systems of conservation laws
    • PEGO, R.L.: Stable viscosities and shock profiles for systems of conservation laws. Trans. Amer. Math. Soc. 282, 749-763 (1984)
    • (1984) Trans. Amer. Math. Soc. , vol.282 , pp. 749-763
    • Pego, R.L.1
  • 11
    • 84972513592 scopus 로고
    • Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation
    • SHIZUTA, Y., KAWASHIMA, S.: Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation. Hokkaido Math. J. 14, 249-275 (1985)
    • (1985) Hokkaido Math. J. , vol.14 , pp. 249-275
    • Shizuta, Y.1    Kawashima, S.2
  • 12
    • 0000213514 scopus 로고
    • Continuous shock structure in extended thermodynamics
    • WEISS, W.: Continuous shock structure in extended thermodynamics. Phys. Rev. E 52, 5760-5763 (1995)
    • (1995) Phys. Rev. E , vol.52 , pp. 5760-5763
    • Weiss, W.1
  • 14
    • 0141638971 scopus 로고    scopus 로고
    • Basic aspects of hyperbolic relaxation systems
    • (Ed. FREISTÜHLER, H., SZEPESSY, A.). Progress in Nonlinear Differential Equations and Their Applications, Birkhäuser, Boston
    • YONG, W.-A.: Basic aspects of hyperbolic relaxation systems. Advances in the Theory of Shock Waves (Ed. FREISTÜHLER, H., SZEPESSY, A.). Progress in Nonlinear Differential Equations and Their Applications, Vol. 47, Birkhäuser, Boston, 2001
    • (2001) Advances in the Theory of Shock Waves , vol.47
    • Yong, W.-A.1
  • 15
    • 2442700294 scopus 로고    scopus 로고
    • Entropy and global existence for hyperbolic balance laws
    • YONG, W.-A.: Entropy and global existence for hyperbolic balance laws. Arch. Ration. Mech. Anal. 172, 247-266 (2004)
    • (2004) Arch. Ration. Mech. Anal. , vol.172 , pp. 247-266
    • Yong, W.-A.1
  • 16
    • 0033651723 scopus 로고    scopus 로고
    • Existence of relaxation shock profiles for hyperbolic conservation laws
    • YONG, W.-A., ZUMBRUN, K.: Existence of relaxation shock profiles for hyperbolic conservation laws. Siam J. Appl. Math. 60, 1565-1575 (2000)
    • (2000) Siam J. Appl. Math. , vol.60 , pp. 1565-1575
    • Yong, W.-A.1    Zumbrun, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.