메뉴 건너뛰기




Volumn 20, Issue 7, 1997, Pages 569-581

On the long-time behaviour of solutions to a conservation law with memory

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; DYNAMICS; NUMERICAL ANALYSIS;

EID: 0031146798     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1476(19970510)20:7<569::AID-MMA862>3.0.CO;2-M     Document Type: Article
Times cited : (3)

References (18)
  • 2
    • 0030578108 scopus 로고    scopus 로고
    • On convergence of entropy solution of a single conservation law
    • Cockburn, B., Gripenberg, G. and Londen, S.-O., 'On convergence of entropy solution of a single conservation law', J. Differential Equations 128 (1), 206-251 (1996).
    • (1996) J. Differential Equations , vol.128 , Issue.1 , pp. 206-251
    • Cockburn, B.1    Gripenberg, G.2    Londen, S.-O.3
  • 3
    • 0041123189 scopus 로고
    • ∞ for a conservation law with memory
    • Gauthier-Villars, Pair
    • ∞ for a conservation law with memory', in: Analyse Mathématique et Applications, pp. 117-128, Gauthier-Villars, Pair, 1988.
    • (1988) Analyse Mathématique et Applications , pp. 117-128
    • Dafermos, C.M.1
  • 4
    • 84971145260 scopus 로고
    • Regularity and large time behaviour of solutions of a conservation law without convexity
    • Dafermos, C. M., 'Regularity and large time behaviour of solutions of a conservation law without convexity', Proc. Royal Soc. Edinburgh, 99A, 201-239 (1985).
    • (1985) Proc. Royal Soc. Edinburgh , vol.99 A , pp. 201-239
    • Dafermos, C.M.1
  • 5
    • 84987665752 scopus 로고
    • Large time behavior and homogenization of solutions of two-dimensional conservation laws
    • Engquist, B. and Weinan, E., 'Large time behavior and homogenization of solutions of two-dimensional conservation laws', Commun. Pure Appl. Math., 46, 1-26 (1993).
    • (1993) Commun. Pure Appl. Math. , vol.46 , pp. 1-26
    • Engquist, B.1    Weinan, E.2
  • 7
    • 0011426570 scopus 로고
    • Volterra integro-differential equations with accretive nonlinearity
    • Gripenberg, G., 'Volterra integro-differential equations with accretive nonlinearity', J. Differential Equations, 60 (1), 57-79 (1985).
    • (1985) J. Differential Equations , vol.60 , Issue.1 , pp. 57-79
    • Gripenberg, G.1
  • 10
    • 0000220623 scopus 로고
    • First order quasilinear equations in several independent variables
    • in Russian
    • Kružkov, S. N., 'First order quasilinear equations in several independent variables', Mat. Sbornik, 81, 228-255 (1970) (in Russian).
    • (1970) Mat. Sbornik , vol.81 , pp. 228-255
    • Kružkov, S.N.1
  • 11
    • 84980077727 scopus 로고
    • Hyperbolic systems of conservation laws II
    • Lax, P. D., 'Hyperbolic systems of conservation laws II', Comm. Pure Appl. Math., 10, 537-556 (1957).
    • (1957) Comm. Pure Appl. Math. , vol.10 , pp. 537-556
    • Lax, P.D.1
  • 12
    • 84968518243 scopus 로고
    • A kinetic formulation of multidimensional scalar conservation laws and related equations
    • Lions, P. L., Perthame, B. and Tadmor, E., 'A kinetic formulation of multidimensional scalar conservation laws and related equations', J. Amer. Math. Soc., 7, 169-191 (1994).
    • (1994) J. Amer. Math. Soc. , vol.7 , pp. 169-191
    • Lions, P.L.1    Perthame, B.2    Tadmor, E.3
  • 13
    • 0017480860 scopus 로고
    • A model for one-dimensional, nonlinear viscoelasticity
    • MacCamy, R. C., 'A model for one-dimensional, nonlinear viscoelasticity', Quart. Appl. Math., 35, 21-33 (1977).
    • (1977) Quart. Appl. Math. , vol.35 , pp. 21-33
    • MacCamy, R.C.1
  • 14
    • 0020596206 scopus 로고
    • A model Riemann problem for Volterra equations
    • MacCaumy, R. C., 'A model Riemann problem for Volterra equations', Arch. Rat. Mech. Anal., 82, 71-86 (1983).
    • (1983) Arch. Rat. Mech. Anal. , vol.82 , pp. 71-86
    • MacCaumy, R.C.1
  • 15
    • 5244347730 scopus 로고
    • Formation of singularities for a conservation law with memory
    • Malek-Madani, R. and Nohel, J. A., 'Formation of singularities for a conservation law with memory', SIAM J. Math. Anal., 16, 530-540 (1985).
    • (1985) SIAM J. Math. Anal. , vol.16 , pp. 530-540
    • Malek-Madani, R.1    Nohel, J.A.2
  • 16
    • 6944247011 scopus 로고
    • A nonlinear conservation law with memory
    • Volterra and functional Differential Equations (B Hannsgen, T. L. Herdman, H. W. Stech and R. L. Wheeler, eds), Dekker, New York
    • Nohel, J. 'A nonlinear conservation law with memory', in: Volterra and functional Differential Equations (B Hannsgen, T. L. Herdman, H. W. Stech and R. L. Wheeler, eds), Lecture Notes in Pure and Applied Math., Vol. 81, Dekker, New York, 1982.
    • (1982) Lecture Notes in Pure and Applied Math. , vol.81
    • Nohel, J.1
  • 17
    • 0002281210 scopus 로고
    • On discontinuous solutions of nonlinear differential equations
    • in Russian
    • Olejnik, O. A., 'On discontinuous solutions of nonlinear differential equations', Usp. Mat. Nauk, 12, 3-73 (1957) (in Russian).
    • (1957) Usp. Mat. Nauk , vol.12 , pp. 3-73
    • Olejnik, O.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.