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Volumn 23, Issue , 2006, Pages 15-37

Time-discretization of a degenerate reaction-diffusion equation arising in biofilm modeling

Author keywords

Biofilm model; Degenerate parabolic equations; Nonlinear diffusion; Numerical solution

Indexed keywords

BIOFILMS; LAPLACE TRANSFORMS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; NUMERICAL METHODS;

EID: 33846202871     PISSN: None     EISSN: 10689613     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (18)

References (12)
  • 1
    • 0001314483 scopus 로고
    • On the existence of positive solutions of nonlinear elliptic boundary value problem
    • H. AMANN, On the existence of positive solutions of nonlinear elliptic boundary value problem, Indiana Univ. Math. J., 21 (1971), pp. 125-146.
    • (1971) Indiana Univ. Math. J , vol.21 , pp. 125-146
    • AMANN, H.1
  • 3
    • 0035738988 scopus 로고    scopus 로고
    • A new Deterministic Spatio-Temporal Continuum Model For Biofilm Development
    • H. J. EBERL, D. F. PARKER, AND M. C. M. VAN LOOSDRECHT, A new Deterministic Spatio-Temporal Continuum Model For Biofilm Development, J. Theor. Med., 3 (2001), pp. 161-175.
    • (2001) J. Theor. Med , vol.3 , pp. 161-175
    • EBERL, H.J.1    PARKER, D.F.2    VAN LOOSDRECHT, M.C.M.3
  • 4
    • 33846237003 scopus 로고    scopus 로고
    • Existence and Longtime Behaviour of Solutions of a Nonlinear Reaction-diffusion System Arising in the Modeling of Biofilms
    • M. A. EFENDIEV, H. J. EBERL, AND S. V. ZELIK, Existence and Longtime Behaviour of Solutions of a Nonlinear Reaction-diffusion System Arising in the Modeling of Biofilms, Nonlinear Diffusive Systems and Related Topics, RIMS Kyoto, Vol. 1258 (2002), pp. 49-71.
    • (2002) Nonlinear Diffusive Systems and Related Topics, RIMS Kyoto , vol.1258 , pp. 49-71
    • EFENDIEV, M.A.1    EBERL, H.J.2    ZELIK, S.V.3
  • 6
    • 33846186060 scopus 로고    scopus 로고
    • O. LADYŽENSKAJA, O. SOLONNIKOV, AND N. URAL'CEVA, Linear and Quasilinear Equations of Parabolic Type, Translations of Mathematical Monographs, V. 23, AMS, Providence R.I., 1968.
    • O. LADYŽENSKAJA, O. SOLONNIKOV, AND N. URAL'CEVA, Linear and Quasilinear Equations of Parabolic Type, Translations of Mathematical Monographs, V. 23, AMS, Providence R.I., 1968.
  • 7
    • 0028374495 scopus 로고    scopus 로고
    • M. N. LE ROUX, Semidiscretization in Time of Nonlinear Parabolic Equations with Blowup of the Solution, STAM J. Nutner. Anal., 31 (1994), pp. 170-195.
    • M. N. LE ROUX, Semidiscretization in Time of Nonlinear Parabolic Equations with Blowup of the Solution, STAM J. Nutner. Anal., 31 (1994), pp. 170-195.
  • 8
    • 0001094693 scopus 로고
    • Some Existence and Nonexistence Theorems for Solutions of Degenerate Parabolic Equations
    • H. A. LEVINE AND P. E. SACKS, Some Existence and Nonexistence Theorems for Solutions of Degenerate Parabolic Equations, J. Differential Equations, 52 (1984), pp. 135-161.
    • (1984) J. Differential Equations , vol.52 , pp. 135-161
    • LEVINE, H.A.1    SACKS, P.E.2
  • 10
    • 0001391474 scopus 로고    scopus 로고
    • Solution of Some Free Boundary Problems by Relaxation Schemes
    • J. KAČUR, Solution of Some Free Boundary Problems by Relaxation Schemes, SIAM J. Numer. Anal., 36 (1999), pp. 290-316.
    • (1999) SIAM J. Numer. Anal , vol.36 , pp. 290-316
    • KAČUR, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.