메뉴 건너뛰기




Volumn 62, Issue 6, 2009, Pages 729-788

Bistable traveling waves around an obstacle

Author keywords

[No Author keywords available]

Indexed keywords


EID: 68049142229     PISSN: 00103640     EISSN: 00103640     Source Type: Journal    
DOI: 10.1002/cpa.20275     Document Type: Article
Times cited : (128)

References (20)
  • 1
    • 49349119963 scopus 로고
    • Multidimensional nonlinear diffusion arising in population genetics
    • Aronson, D. G.; Weinberger, H. F. Multidimensional nonlinear diffusion arising in population genetics. Adv. in Math. 30 (1978), no. 1, 33-76.
    • (1978) Adv. in Math. , vol.30 , Issue.1 , pp. 33-76
    • Aronson, D.G.1    Weinberger, H.F.2
  • 2
    • 44949224420 scopus 로고    scopus 로고
    • Non-existence of travelling front solutions of some bistable reactiondiffusion equations
    • Berestycki, H.; Hamel, F. Non-existence of travelling front solutions of some bistable reactiondiffusion equations. Adv. Differential Equations 5 (2000), no. 4-6, 723-746.
    • (2000) Adv. Differential Equations , vol.5 , Issue.4-6 , pp. 723-746
    • Berestycki, H.1    Hamel, F.2
  • 3
    • 0036298883 scopus 로고    scopus 로고
    • Front propagation in periodic excitable media
    • Berestycki, H.; Hamel, F. Front propagation in periodic excitable media. Comm. Pure Appl. Math. 55 (2002), no. 8, 949-1032.
    • (2002) Comm. Pure Appl. Math. , vol.55 , Issue.8 , pp. 949-1032
    • Berestycki, H.1    Hamel, F.2
  • 4
    • 33845387170 scopus 로고    scopus 로고
    • Fronts and invasions in general domains
    • Berestycki, H.; Hamel, F. Fronts and invasions in general domains. C. R. Math. Acad. Sci. Paris 343 (2006), no. 11-12, 711-716.
    • (2006) C. R. Math. Acad. Sci. Paris , vol.343 , Issue.11-12 , pp. 711-716
    • Berestycki, H.1    Hamel, F.2
  • 5
    • 53549127849 scopus 로고    scopus 로고
    • Generalized travelling waves for reaction-diffusion equations
    • Contemporary Mathematics, 446. American Mathematical Society, Providence, R.I
    • Berestycki, H.; Hamel, F. Generalized travelling waves for reaction-diffusion equations. Perspectives in nonlinear partial differential equations, 101-123. Contemporary Mathematics, 446. American Mathematical Society, Providence, R.I., 2007.
    • (2007) Perspectives in nonlinear partial differential equations , pp. 101-123
    • Berestycki, H.1    Hamel, F.2
  • 9
    • 0017637590 scopus 로고
    • The approach of solutions of nonlinear diffusion equations to travelling front solutions
    • Fife, P. C.; McLeod, J. B. The approach of solutions of nonlinear diffusion equations to travelling front solutions. Arch. Ration. Mech. Anal. 65 (1977), no. 4, 335-361.
    • (1977) Arch. Ration. Mech. Anal. , vol.65 , Issue.4 , pp. 335-361
    • Fife, P.C.1    McLeod, J.B.2
  • 10
    • 15444381180 scopus 로고    scopus 로고
    • Entire solutions of reaction-diffusion equations and an application to discrete diffusive equations
    • Guo, J.-S.; Morita, Y. Entire solutions of reaction-diffusion equations and an application to discrete diffusive equations. Discrete Contin. Dyn. Syst. 12 (2005), no. 2, 193-212.
    • (2005) Discrete Contin. Dyn. Syst. , vol.12 , Issue.2 , pp. 193-212
    • Guo, J.-S.1    Morita, Y.2
  • 11
    • 0033431172 scopus 로고    scopus 로고
    • Entire solutions of the KPP equation
    • Hamel, F.; Nadirashvili, N. Entire solutions of the KPP equation. Comm. Pure Appl. Math. 52 (1999), no. 10, 1255-1276.
    • (1999) Comm. Pure Appl. Math. , vol.52 , Issue.10 , pp. 1255-1276
    • Hamel, F.1    Nadirashvili, N.2
  • 12
    • 84975988204 scopus 로고
    • Local minimisers and singular perturbations
    • Kohn, R. V.; Sternberg, P. Local minimisers and singular perturbations. Proc. Roy. Soc. Edinburgh Sect. A 111 (1989), no. 1-2, 69-84.
    • (1989) Proc. Roy. Soc. Edinburgh Sect. A , vol.111 , Issue.1-2 , pp. 69-84
    • Kohn, R.V.1    Sternberg, P.2
  • 13
    • 0002722044 scopus 로고
    • Étude de l'équation de la diffusion avec croissance de la quantité de la matière et son application à un problème biologique
    • Kolmogorov, A. N.; Petrovsky, I. G.; Piskunov, N. S. Étude de l'équation de la diffusion avec croissance de la quantité de la matière et son application à un problème biologique. Bull. Univ. Etat Mosc. Sér. Int. A 1 (1937), 1-26.
    • (1937) Bull. Univ. Etat Mosc. Sér. Int. A , vol.1 , pp. 1-26
    • Kolmogorov, A.N.1    Petrovsky, I.G.2    Piskunov, N.S.3
  • 14
    • 0001285249 scopus 로고
    • Multidimensional stability of traveling waves in a bistable reactiondiffusion equation. II
    • Levermore, C. D.; Xin, J. X. Multidimensional stability of traveling waves in a bistable reactiondiffusion equation. II. Comm. Partial Differential Equations 17 (1992), no. 11-12, 1901-1924.
    • (1992) Comm. Partial Differential Equations , vol.17 , Issue.11-12 , pp. 1901-1924
    • Levermore, C.D.1    Xin, J.X.2
  • 15
    • 85009592686 scopus 로고
    • Asymptotic behavior and stability of solutions of semilinear diffusion equations
    • Matano, H. Asymptotic behavior and stability of solutions of semilinear diffusion equations. Publ. Res. Inst. Math. Sci. 15 (1979), no. 2, 401-454.
    • (1979) Publ. Res. Inst. Math. Sci. , vol.15 , Issue.2 , pp. 401-454
    • Matano, H.1
  • 17
    • 33845908811 scopus 로고    scopus 로고
    • Traveling waves in diffusive random media
    • Shen, W. Traveling waves in diffusive random media. J. Dynam. Differential Equations 16 (2004), no. 4, 1011-1060.
    • (2004) J. Dynam. Differential Equations , vol.16 , Issue.4 , pp. 1011-1060
    • Shen, W.1
  • 18
    • 33645087891 scopus 로고
    • Traveling periodic waves in heterogeneous environments
    • Shigesada, N.; Kawasaki, K.; Teramoto, E. Traveling periodic waves in heterogeneous environments. Theoret. Population Biol. 30 (1986), no. 1, 143-160.
    • (1986) Theoret. Population Biol. , vol.30 , Issue.1 , pp. 143-160
    • Shigesada, N.1    Kawasaki, K.2    Teramoto, E.3
  • 19
    • 0034206088 scopus 로고    scopus 로고
    • Front propagation in heterogeneous media
    • (electronic)
    • Xin, J. Front propagation in heterogeneous media. SIAM Rev. 42 (2000), no. 2, 161-230 (electronic).
    • (2000) SIAM Rev , vol.42 , Issue.2 , pp. 161-230
    • Xin, J.1
  • 20
    • 0348143251 scopus 로고    scopus 로고
    • On spreading speeds and traveling waves for growth and migration models in a periodic habitat
    • Weinberger, H. F. On spreading speeds and traveling waves for growth and migration models in a periodic habitat. J. Math. Biol. 45 (2002), no. 6, 511-548.
    • (2002) J. Math. Biol. , vol.45 , Issue.6 , pp. 511-548
    • Weinberger, H.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.