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Volumn 175, Issue 1, 1996, Pages 221-227

Variational characterization of the speed of propagation of fronts for the nonlinear diffusion equation

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EID: 0030555096     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02101631     Document Type: Article
Times cited : (57)

References (11)
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    • Cross, M.C.1    Hohenberg, P.H.2
  • 2
    • 49349119963 scopus 로고
    • Multidimensional nonlinear diffusion arising in population genetics
    • Aronson, D.G., Weinberger, H.F.: Multidimensional Nonlinear Diffusion Arising in Population Genetics. Adv. Math. 30, 33-76 (1978)
    • (1978) Adv. Math. , vol.30 , pp. 33-76
    • Aronson, D.G.1    Weinberger, H.F.2
  • 3
    • 77957589808 scopus 로고
    • A study of the diffusion equation with increase in the amount of substance, and its applications to a biological problem
    • A.N., Tikhomirov, V.M. (ed.), Amsterdam, Kluwer Academic Publishers
    • Kolmogorov, A.N., Petrovskii, I.G., Piskunov, N.S.: A Study of the Diffusion Equation with Increase in the Amount of Substance, and its applications to a Biological Problem. In: Selected Works of Kolmogorov, A.N., Tikhomirov, V.M. (ed.), Amsterdam, Kluwer Academic Publishers, 1991
    • (1991) Selected Works of Kolmogorov
    • Kolmogorov, A.N.1    Petrovskii, I.G.2    Piskunov, N.S.3
  • 4
    • 0016743943 scopus 로고
    • Travelling fronts in nonlinear diffusion equations
    • Hadeler, K.P., Rothe, F.: Travelling Fronts in Nonlinear Diffusion Equations. J. Math. Biol 2, 251-263 (1975)
    • (1975) J. Math. Biol , vol.2 , pp. 251-263
    • Hadeler, K.P.1    Rothe, F.2
  • 5
    • 0001472496 scopus 로고
    • Validity of the linear speed selection mechanism for fronts of the nonlinear diffusion equation
    • Benguria, R.D., Depassier, M.C.: Validity of the Linear Speed Selection Mechanism for Fronts of the Nonlinear Diffusion Equation. Phys. Rev. Lett. 73, 2272-2275 (1994)
    • (1994) Phys. Rev. Lett. , vol.73 , pp. 2272-2275
    • Benguria, R.D.1    Depassier, M.C.2
  • 6
    • 0000612887 scopus 로고
    • Propagating pattern selection
    • Dee, G.T., Langer, J.S.: Propagating Pattern Selection. Phys. Rev. Lett. 50, 383-386 (1983)
    • (1983) Phys. Rev. Lett. , vol.50 , pp. 383-386
    • Dee, G.T.1    Langer, J.S.2
  • 8
    • 6444221633 scopus 로고
    • Front propagation into unstable states. II linear versus nonlinear marginal stability and rate of convergence
    • van Saarloos, W.: Front Propagation into Unstable States. II Linear versus Nonlinear Marginal Stability and Rate of Convergence. Phys. Rev. A 39, 6367-6390 (1989)
    • (1989) Phys. Rev. A , vol.39 , pp. 6367-6390
    • Van Saarloos, W.1
  • 9
    • 0002200283 scopus 로고
    • Structural stability and renormalization group for propagating fronts
    • Paquette, G.C., Chen, L.Y., Goldenfeld, N., Oono, Y.: Structural Stability and Renormalization Group for Propagating Fronts. Phys. Rev. Lett. 72, 76-79 (1994)
    • (1994) Phys. Rev. Lett. , vol.72 , pp. 76-79
    • Paquette, G.C.1    Chen, L.Y.2    Goldenfeld, N.3    Oono, Y.4
  • 10
    • 0040658262 scopus 로고
    • Exact front solutions for the nonlinear diffusion equation with quintic nonlinearities
    • Benguria, R.D., Depassier, M.C.: Exact Front Solutions for the Nonlinear Diffusion Equation with Quintic Nonlinearities. Phys. Rev. E. 50, 3701-3704 (1994)
    • (1994) Phys. Rev. E. , vol.50 , pp. 3701-3704
    • Benguria, R.D.1    Depassier, M.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.