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Volumn 32, Issue 6, 2007, Pages 879-933

Singular limit of a spatially inhomogeneous Lotka-Volterra competition-diffusion system

Author keywords

Competition diffusion; Interface motion; Matched asymptotic expansion; Nonlinear diffusion; Reaction diffusion system; Singular perturbation

Indexed keywords


EID: 34250158410     PISSN: 03605302     EISSN: 15324133     Source Type: Journal    
DOI: 10.1080/03605300701382456     Document Type: Article
Times cited : (14)

References (9)
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    • (1990) J. Reine Angew. Math , vol.410 , pp. 167-212
    • Alexander, J.1    Gardner, R.2    Jones, C.3
  • 2
    • 0018480694 scopus 로고
    • A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening
    • Allen, S., Cahn, J. (1979). A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening. Acta Metall. 27:1084-1095.
    • (1979) Acta Metall , vol.27 , pp. 1084-1095
    • Allen, S.1    Cahn, J.2
  • 3
    • 0028517768 scopus 로고
    • Dynamics of interfaces in competition diffusion systems
    • Ei, S.-I., Yanagida, E. (1994). Dynamics of interfaces in competition diffusion systems. SIAM J. Appl. Math. 54:1355-1373.
    • (1994) SIAM J. Appl. Math , vol.54 , pp. 1355-1373
    • Ei, S.-I.1    Yanagida, E.2
  • 4
    • 0001928091 scopus 로고    scopus 로고
    • Dynamics of interfaces in a scalar parabolic equations with variable diffusion coefficients
    • Ei, S.-I., Iida, M., Yanagida, E. (1997). Dynamics of interfaces in a scalar parabolic equations with variable diffusion coefficients. Japan J. Ind. Appl. Math. 14(1): 1-23.
    • (1997) Japan J. Ind. Appl. Math , vol.14 , Issue.1 , pp. 1-23
    • Ei, S.-I.1    Iida, M.2    Yanagida, E.3
  • 5
    • 0004509421 scopus 로고    scopus 로고
    • Motion of interfaces in a spatially inhomogeneous Allen-Cahn equation with equal well-depth potential
    • In preparation
    • Hilhorst, D., Matano, H., Schätzte, R. Motion of interfaces in a spatially inhomogeneous Allen-Cahn equation with equal well-depth potential. In preparation.
    • Hilhorst, D.1    Matano, H.2    Schätzte, R.3
  • 7
    • 21844508986 scopus 로고
    • Parameter dependence of propagation speed of traveling waves for competition-diffusion equations
    • Kan-on, Y. (1995). Parameter dependence of propagation speed of traveling waves for competition-diffusion equations. SIAM J. Math. Anal. 26:340-363.
    • (1995) SIAM J. Math. Anal , vol.26 , pp. 340-363
    • Kan-on, Y.1
  • 8
    • 0033245878 scopus 로고    scopus 로고
    • Singular limit of a reaction-diffusion equation with a spatially inhomogeneous reaction term
    • Nakamura, K., Matano, H., Hilhorst, D., Schätzle, R. (1999). Singular limit of a reaction-diffusion equation with a spatially inhomogeneous reaction term. J. Stat. Phys. 95:1165-1185.
    • (1999) J. Stat. Phys , vol.95 , pp. 1165-1185
    • Nakamura, K.1    Matano, H.2    Hilhorst, D.3    Schätzle, R.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.