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Volumn 26, Issue 1-2, 1997, Pages 49-63

The diffusive limit of two velocity models: The porous medium equation

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EID: 0031490751     PISSN: 00411450     EISSN: None     Source Type: Journal    
DOI: 10.1080/00411459708221774     Document Type: Article
Times cited : (1)

References (21)
  • 2
    • 0019242598 scopus 로고
    • Stability of the separable solution for fast diffusion
    • J.G. Bassiman, and C.J. Holland, Stability of the separable solution for fast diffusion, Arch. Rat. Mech. Anal. 74 279 (1980).
    • (1980) Arch. Rat. Mech. Anal. , vol.74 , pp. 279
    • Bassiman, J.G.1    Holland, C.J.2
  • 5
    • 0003004337 scopus 로고
    • On some unsteady motion of a liquid or a gas in a porous medium
    • G.I. Barenblatt, On some unsteady motion of a liquid or a gas in a porous medium, Prikl. Math. Meh. 16 67 (1952).
    • (1952) Prikl. Math. Meh. , vol.16 , pp. 67
    • Barenblatt, G.I.1
  • 9
    • 0000821543 scopus 로고
    • Solution of porous medium type systems by linear approximation schemes
    • W. Jäger, and J. Kacur, Solution of porous medium type systems by linear approximation schemes, Numer. Math. 60 407 (1991).
    • (1991) Numer. Math. , vol.60 , pp. 407
    • Jäger, W.1    Kacur, J.2
  • 10
    • 0012217004 scopus 로고
    • A finite difference approach to some degenerate nonlinear parabolic equations
    • J.L. Graveleau, and P. Jamet, A finite difference approach to some degenerate nonlinear parabolic equations, Siam J. Appl. Math. 20 199 (1971).
    • (1971) Siam J. Appl. Math. , vol.20 , pp. 199
    • Graveleau, J.L.1    Jamet, P.2
  • 11
    • 0039565872 scopus 로고
    • Approximation to nonlinear convection diffusion equations
    • Proc. Workshop Nonlinear hyperbolic problems Bordeaux, Springer-Verlag
    • S. Benachour, A. Y. Le Roux, and M.N. Le Roux, Approximation to nonlinear convection diffusion equations, Proc. Workshop Nonlinear hyperbolic problems Bordeaux, Lect. Notes. Math. 1402 Springer-Verlag (1989).
    • (1989) Lect. Notes. Math. , vol.1402
    • Benachour, S.1    Le Roux, A.Y.2    Le Roux, M.N.3
  • 12
    • 84967772563 scopus 로고
    • An interface algorithm for the porous medium equation
    • E. Di Benedetto, and D. Hoff, An interface algorithm for the porous medium equation, Trans. Amer. Math. Soc. 284 463 (1984).
    • (1984) Trans. Amer. Math. Soc. , vol.284 , pp. 463
    • Di Benedetto, E.1    Hoff, D.2
  • 13
    • 0000542076 scopus 로고
    • A study of numerical methods for hyperbolic conservation laws with stiff source terms
    • R.J. Leveque and H.C. Yee, A study of Numerical Methods for Hyperbolic Conservation Laws with Stiff Source Terms, Journal of Comput. Physics 86 187 (1990).
    • (1990) Journal of Comput. Physics , vol.86 , pp. 187
    • Leveque, R.J.1    Yee, H.C.2
  • 14
    • 0027677962 scopus 로고
    • Numerical methods for hyperbolic conservation laws with stiff relaxation, I. Spurious solutions
    • R. B. Pember, Numerical methods for hyperbolic conservation laws with stiff relaxation, I. Spurious solutions, SIAM J. Appl. Math., 535 1293 (1993).
    • (1993) SIAM J. Appl. Math. , vol.535 , pp. 1293
    • Pember, R.B.1
  • 15
    • 0000417595 scopus 로고
    • Numerical methods for hyperbolic conservation laws with stiff relaxation, II. High-order godunov methods
    • R. B. Pember, Numerical methods for hyperbolic conservation laws with stiff relaxation, II. High-Order Godunov methods, SIAM J. Sci. Comput., 14 824 (1993).
    • (1993) SIAM J. Sci. Comput. , vol.14 , pp. 824
    • Pember, R.B.1
  • 17
    • 0026106517 scopus 로고
    • Numerical passage from kinetic to fluid equations
    • F. Coron and B. Perthame, Numerical passage from kinetic to fluid equations, SIAM J. Numer. Anal. 28 (1991).
    • (1991) SIAM J. Numer. Anal. , vol.28
    • Coron, F.1    Perthame, B.2
  • 18
    • 0028446617 scopus 로고
    • Studies on error propagation for certain nonlinear approxi-mations to hyperbolic equations: Discontinuities in derivatives
    • R. Donat, Studies on Error propagation for certain nonlinear approxi-mations to Hyperbolic Equations: Discontinuities in Derivatives, Siam J. Numer. Anal. 31 655 (1994).
    • (1994) Siam J. Numer. Anal. , vol.31 , pp. 655
    • Donat, R.1
  • 20
    • 0001607121 scopus 로고
    • Diffusion from an instantaneous point source with concentration dependent coefficient
    • R.E. Pattle, Diffusion from an instantaneous point source with concentration dependent coefficient, Quart. J. mech. Appl. Math. 12 407 (1959).
    • (1959) Quart. J. Mech. Appl. Math. , vol.12 , pp. 407
    • Pattle, R.E.1
  • 21
    • 0014847244 scopus 로고
    • Regularity properties of flows through porous media: A counterexample
    • D.G. Aronson, Regularity properties of flows through porous media: a counterexample, Siam J. Appl. Math. 19 299 (1970).
    • (1970) Siam J. Appl. Math. , vol.19 , pp. 299
    • Aronson, D.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.