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Volumn 3, Issue 1, 2006, Pages 53-80

Coupling of multidimensional parabolic and hyperbolic equations

Author keywords

Coupling problem; Degenerate parabolic hyperbolic equation; Entropy process solution

Indexed keywords


EID: 34748874692     PISSN: 02198916     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219891606000720     Document Type: Article
Times cited : (3)

References (11)
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    • Perturbations singulières et prolongements maximaux d'opérateurs positifs
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    • (1973) Arch. Ration. Mech. Anal , vol.53 , Issue.1 , pp. 69-100
    • Bardos, C.1    Brézis, D.2    Brézis, H.3
  • 4
    • 0001771384 scopus 로고
    • Existence and uniqueness of the entropy solution to a nonlinear hyperbolic equation
    • R. Eymard, T. Gallouët and R. Herbin, Existence and uniqueness of the entropy solution to a nonlinear hyperbolic equation, Chin. Ann. Math. Ser. B 1 (1995) 1-14.
    • (1995) Chin. Ann. Math. Ser. B , vol.1 , pp. 1-14
    • Eymard, R.1    Gallouët, T.2    Herbin, R.3
  • 5
    • 0000234101 scopus 로고    scopus 로고
    • Initial-boundary value problem for a scalar conservation law
    • F. Otto, Initial-boundary value problem for a scalar conservation law, C. R. Acad. Sci. Paris Sér. I 322 (1996) 729-734.
    • (1996) C. R. Acad. Sci. Paris Sér. I , vol.322 , pp. 729-734
    • Otto, F.1
  • 6
    • 34748824597 scopus 로고    scopus 로고
    • G. Gagneux and M. Madaune-Tort, Analyse Mathématique de Modèles Non-Linéaires de L'ingénierie Pétrolière, S.M.A.I. Mathématiques and Applications, 22 (Springer-Verlag, 1996).
    • G. Gagneux and M. Madaune-Tort, Analyse Mathématique de Modèles Non-Linéaires de L'ingénierie Pétrolière, S.M.A.I. Mathématiques and Applications, Vol. 22 (Springer-Verlag, 1996).
  • 7
    • 0025448596 scopus 로고
    • Coupling of two-dimensional hyperbolic and elliptic equations
    • F. Gastaldi and A. Quateroni, Coupling of two-dimensional hyperbolic and elliptic equations, Comput. Methods Appl. Mech. Eng. 80(1-3) (1990) 347-354.
    • (1990) Comput. Methods Appl. Mech. Eng , vol.80 , Issue.1-3 , pp. 347-354
    • Gastaldi, F.1    Quateroni, A.2
  • 8
    • 34748909309 scopus 로고
    • Behavior of a class of nonlinear diffusion-convection equations
    • M. J. Jasor, Behavior of a class of nonlinear diffusion-convection equations, Adv. Math. Sci. Appl. 5(2) (1995) 631-638.
    • (1995) Adv. Math. Sci. Appl , vol.5 , Issue.2 , pp. 631-638
    • Jasor, M.J.1
  • 10
    • 0035646242 scopus 로고    scopus 로고
    • Error estimate for a splitting method applied to convection-reaction equations
    • F. Peyroutet and M. Madaune-Tort, Error estimate for a splitting method applied to convection-reaction equations, Math. Models Appl. Sci. 11(6) (2001) 1081-1100.
    • (2001) Math. Models Appl. Sci , vol.11 , Issue.6 , pp. 1081-1100
    • Peyroutet, F.1    Madaune-Tort, M.2
  • 11
    • 34748884207 scopus 로고    scopus 로고
    • L. Tartar, Compensated compactness and applications to partial differential equations, in Nonlinear Analysis and Mechanics: Heriot-Watt Symposium, ed. R. J. Knops, Research Notes in Mathematics, 39 (Pitman, Edinburgh, 1979), pp. 136-211.
    • L. Tartar, Compensated compactness and applications to partial differential equations, in Nonlinear Analysis and Mechanics: Heriot-Watt Symposium, ed. R. J. Knops, Research Notes in Mathematics, Vol. 39 (Pitman, Edinburgh, 1979), pp. 136-211.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.