메뉴 건너뛰기




Volumn 4, Issue 1, 1993, Pages 65-81

A selfsimilar solution to the focusing problem for the porous medium equation

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0002674883     PISSN: 09567925     EISSN: 14694425     Source Type: Journal    
DOI: 10.1017/S095679250000098X     Document Type: Article
Times cited : (83)

References (16)
  • 1
    • 0001611159 scopus 로고
    • Regularity properties of flows through porous media
    • Aronson D. G. 1969 Regularity properties of flows through porous media. SIAM J. Appl. Math. 17, 461-467.
    • (1969) SIAM J. Appl. Math. , vol.17 , pp. 461-467
    • Aronson, D.G.1
  • 2
    • 84959674162 scopus 로고
    • Springer-Verlag
    • and Primicerio M.), Lecture Notes in Math. No. 1224
    • Aronson D. G. 1986 The porous medium equation. In Some Problems in Nonlinear Diffusion (eds. Fasano A. and Primicerio M. ), Lecture Notes in Math. No. 1224, Springer-Verlag.
    • (1986) Some Problems in Nonlinear Diffusion
    • Aronson, D.G.1
  • 3
    • 0007269423 scopus 로고
    • Optimal regularity for one dimensional porous medium flow
    • Aronson D. G. & Caffarelli L. A. 1986 Optimal regularity for one dimensional porous medium flow. Rev. Mat. Iberoamericana 2, 357-366.
    • (1986) Rev. Mat. Iberoamericana , vol.2 , pp. 357-366
    • Aronson, D.G.1    Caffarelli, L.A.2
  • 4
    • 84959709107 scopus 로고
    • Anomalous exponents in nonlinear diffusion (in preparation).
    • Aronson D. G. & Vazquez J. L. 1992 Anomalous exponents in nonlinear diffusion (in preparation).
    • (1992)
    • Aronson, D.G.1    Vazquez, J.L.2
  • 6
    • 84915503825 scopus 로고
    • Intermediate asymptotic in mathematical physics
    • Barenblatt G. I. & Zel'dovich YA. B. 1971 Intermediate asymptotic in mathematical physics. Russian Math. Surveys 26 (2) 45-61.
    • (1971) Russian Math. Surveys , vol.26 , Issue.2 , pp. 45-61
    • Barenblatt, G.I.1    Zel'dovich, Y.B.2
  • 7
    • 84959634027 scopus 로고
    • Pitman
    • J. ), Research Notes in Math
    • Benilan PH. 1983 A strong regularity L p for solutions of the porous medium equation. In Contributions to Nonlinear Partial Differential equations (eds. Bardos C., Damlamian A., Diaz J. I. and Hernandez J. ), Research Notes in Math 89, Pitman.
    • (1983) , pp. 89
    • Benilan, P.1
  • 8
    • 0018958786 scopus 로고
    • Regularity of the free boundary of a gas flow in an n-dimensional porous medium
    • Caffarelli L. A. & Friedman A. 1980 Regularity of the free boundary of a gas flow in an n-dimensional porous medium. Indiana Math. J. 29, 361-391.
    • (1980) Indiana Math. J. , vol.29 , pp. 361-391
    • Caffarelli, L.A.1    Friedman, A.2
  • 9
    • 0001301181 scopus 로고    scopus 로고
    • Lipschitz continuity of solutions and interfaces of the n-dimensional porous medium equation
    • Caffarelli L. A., Vazquez J. L. & Wolanski N. I. Lipschitz continuity of solutions and interfaces of the n-dimensional porous medium equation. Indiana Mat. J. 36, 373-401.
    • Indiana Mat. J. , vol.36 , pp. 373-401
    • Caffarelli, L.A.1    Vazquez, J.L.2    Wolanski, N.I.3
  • 10
    • 84959726669 scopus 로고
    • Quelques solutions auto-semblables pour l'éqation dela chaleur non-linéaire. Rapport Interne C.E.A.
    • Graveleau J. 1972 Quelques solutions auto-semblables pour l'éqation dela chaleur non-linéaire. Rapport Interne C.E.A.
    • (1972)
    • Graveleau, J.1
  • 12
    • 0001173534 scopus 로고
    • Starke kugelige und zylindrische Verdichtungsstösse in der Nähe des Kugelmittelpunktes bzw. der Zulinderachse
    • 0008522
    • Guderley G. 1942 Starke kugelige und zylindrische Verdichtungsstösse in der Nähe des Kugelmittelpunktes bzw. der Zulinderachse. Luftfahrtforschung 19, 302-312. 0008522
    • (1942) Luftfahrtforschung , vol.19 , pp. 302-312
    • Guderley, G.1
  • 13
    • 0012673138 scopus 로고
    • Similarity solutions of the porous medium equation with sign changes
    • Holshof J. 1991 Similarity solutions of the porous medium equation with sign changes. J. Math. Anal. Appl. 157, 75-111.
    • (1991) J. Math. Anal. Appl. , vol.157 , pp. 75-111
    • Holshof, J.1
  • 14
    • 0023451028 scopus 로고
    • A numerical study of global bifurcation in chemical dynamics
    • Kevrekidis I. G. 1987 A numerical study of global bifurcation in chemical dynamics. A.I.Ch.E.J. 33, 1850-1864.
    • (1987) A.I.Ch.E.J. , vol.33 , pp. 1850-1864
    • Kevrekidis, I.G.1
  • 15
    • 0001072629 scopus 로고
    • �Waiting-time’ solutions of a nonlinear diffusion equation
    • Lacy A. A., Ockendon J. R. & Tayler A. B. 1982 �Waiting-time’ solutions of a nonlinear diffusion equation, SIAM J. Appl. Math. 42, 1252-1264.
    • (1982) SIAM J. Appl. Math. , vol.42 , pp. 1252-1264
    • Lacy, A.A.1    Ockendon, J.R.2    Tayler, A.B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.