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Volumn 9, Issue 5, 2007, Pages 731-751

Porous medium flow in a tube. Traveling waves and KPP behavior

Author keywords

Curved front; Flow in a tube; Free boundary; Porous medium equation; Traveling wave

Indexed keywords


EID: 35348817270     PISSN: 02191997     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219199707002587     Document Type: Article
Times cited : (13)

References (16)
  • 1
    • 0008270784 scopus 로고
    • Density-dependent interaction-diffusion systems
    • eds. W. E. Stewart et al, Academic Press, New York
    • D. G. Aronson, Density-dependent interaction-diffusion systems, in Dynamics and Modelling of Reactive Systems, eds. W. E. Stewart et al. (Academic Press, New York, 1980), pp. 161-176.
    • (1980) Dynamics and Modelling of Reactive Systems , pp. 161-176
    • Aronson, D.G.1
  • 2
    • 0002293879 scopus 로고
    • The Porous Medium Equation
    • Springer-Verlag, Berlin/New York
    • D. G. Aronson, The Porous Medium Equation, Lecture Notes in Mathematics, Vol. 1224 (Springer-Verlag, Berlin/New York, 1985).
    • (1985) Lecture Notes in Mathematics , vol.1224
    • Aronson, D.G.1
  • 3
    • 0001510540 scopus 로고
    • Large time behaviour of solutions of the porous medium equation in bounded domains
    • D. G. Aronson and L. A. Peletier, Large time behaviour of solutions of the porous medium equation in bounded domains, J. Differential Equation 39(3) (1981) 378-412.
    • (1981) J. Differential Equation , vol.39 , Issue.3 , pp. 378-412
    • Aronson, D.G.1    Peletier, L.A.2
  • 5
    • 0019242598 scopus 로고
    • Stability of the separable solution for fast diffusion
    • J. G. Berryman and C. J. Holland, Stability of the separable solution for fast diffusion, Arch. Rational Mech. Anal. 74(4) (1980) 379-388.
    • (1980) Arch. Rational Mech. Anal , vol.74 , Issue.4 , pp. 379-388
    • Berryman, J.G.1    Holland, C.J.2
  • 6
    • 0000934284 scopus 로고
    • Regularity of the free boundary for the one-dimensional flow of gas in a porous medium
    • L. A. Caffarelli and A. Friedman, Regularity of the free boundary for the one-dimensional flow of gas in a porous medium, Amer. J. Math. 101 (1979) 1193-1218.
    • (1979) Amer. J. Math , vol.101 , pp. 1193-1218
    • Caffarelli, L.A.1    Friedman, A.2
  • 8
    • 0000268135 scopus 로고
    • The wave of advance of advantageous genes
    • R. A. Fisher, The wave of advance of advantageous genes, Ann. Eugenics 7 (1937) 355-369.
    • (1937) Ann. Eugenics , vol.7 , pp. 355-369
    • Fisher, R.A.1
  • 9
    • 0002722044 scopus 로고
    • A study of a diffusion equation coupled with the growth in the amount of a material, and its application to a biological problem
    • A. N. Kolmogorov, I. G. Petrovskii and N. S. Piskunov, A study of a diffusion equation coupled with the growth in the amount of a material, and its application to a biological problem, Byul. Moskov. Gos. Univ., Sect. A 1(6) (1937) 1-26.
    • (1937) Byul. Moskov. Gos. Univ., Sect. A , vol.1 , Issue.6 , pp. 1-26
    • Kolmogorov, A.N.1    Petrovskii, I.G.2    Piskunov, N.S.3
  • 10
    • 2442624617 scopus 로고    scopus 로고
    • Thermal avalanche for blow-up solutions of semilinear heat equations
    • F. Quirós, J. D. Rossi and J. L. Vázquez, Thermal avalanche for blow-up solutions of semilinear heat equations, Comm. Pure Appl. Math. 57 (2004) 59-98.
    • (2004) Comm. Pure Appl. Math , vol.57 , pp. 59-98
    • Quirós, F.1    Rossi, J.D.2    Vázquez, J.L.3
  • 11
    • 0037847744 scopus 로고    scopus 로고
    • Asymptotic behaviour for the Porous Medium Equation posed in the whole space
    • J. L. Vazquez, Asymptotic behaviour for the Porous Medium Equation posed in the whole space, J. Evol. Equ. 3 (2003) 67-118.
    • (2003) J. Evol. Equ , vol.3 , pp. 67-118
    • Vazquez, J.L.1
  • 12
    • 3042536704 scopus 로고    scopus 로고
    • Asymptotic behaviour for the PME in a bounded domain. The Dirichlet problem
    • J. L. Vazquez, Asymptotic behaviour for the PME in a bounded domain. The Dirichlet problem, Monatshe. Math. 142(1-2) (2004) 81-111.
    • (2004) Monatshe. Math , vol.142 , Issue.1-2 , pp. 81-111
    • Vazquez, J.L.1
  • 14
    • 16344389943 scopus 로고    scopus 로고
    • Smoothing and Decay Estimates for Nonlinear Parabolic Equations of Porous Medium and Fast Diffusion Type
    • Oxford Univ. Press
    • J. L. Vazquez, Smoothing and Decay Estimates for Nonlinear Parabolic Equations of Porous Medium and Fast Diffusion Type, Oxford Lecture Series in Mathematics and Its Applications, Vol. 33 (Oxford Univ. Press, 2006).
    • (2006) Oxford Lecture Series in Mathematics and Its Applications , vol.33
    • Vazquez, J.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.