메뉴 건너뛰기




Volumn 10, Issue 4, 1998, Pages 619-638

Diffusion-induced blowup in a nonlinear parabolic system

Author keywords

Blowup; Parabolic systems

Indexed keywords


EID: 54649083610     PISSN: 10407294     EISSN: 15729222     Source Type: Journal    
DOI: 10.1023/A:1022633226140     Document Type: Article
Times cited : (28)

References (9)
  • 1
    • 0000805398 scopus 로고
    • Positively invariant regions for systems of nonlinear diffusion equations
    • Chueh, K., Conley, C., and Smoller, J. (1977). Positively invariant regions for systems of nonlinear diffusion equations, Ind. U. Math. J. 26, 373-392.
    • (1977) Ind. U. Math. J. , vol.26 , pp. 373-392
    • Chueh, K.1    Conley, C.2    Smoller, J.3
  • 2
    • 0001842649 scopus 로고
    • Large time behavior of solutions of nonlinear reaction-diffusion equations
    • Conway, E., Hoff, D., and Smoller, J. (1978). Large time behavior of solutions of nonlinear reaction-diffusion equations, SIAM J. Appl. Math. 35, 1-16.
    • (1978) SIAM J. Appl. Math. , vol.35 , pp. 1-16
    • Conway, E.1    Hoff, D.2    Smoller, J.3
  • 3
    • 38249040922 scopus 로고
    • Large diffusivity and asymptotic behavior in parabolic systems
    • Hale, J. K. (1986). Large diffusivity and asymptotic behavior in parabolic systems, J. Math. Anal. Appl. 118, 455-466.
    • (1986) J. Math. Anal. Appl. , vol.118 , pp. 455-466
    • Hale, J.K.1
  • 4
    • 0001524103 scopus 로고    scopus 로고
    • Diffusion induced extinction of a superior species in competition models
    • Iida, M., Muramatsu, T., Ninomiya, H., and Yanagida, E. (1998). Diffusion induced extinction of a superior species in competition models, Japan J. Indust. Appl. Math. 15, 233-252.
    • (1998) Japan J. Indust. Appl. Math. , vol.15 , pp. 233-252
    • Iida, M.1    Muramatsu, T.2    Ninomiya, H.3    Yanagida, E.4
  • 5
    • 0025442951 scopus 로고
    • The role of critical exponents in blowup theorems
    • Levine, H. A. (1990). The role of critical exponents in blowup theorems, SIAM Rev. 32, 262-288.
    • (1990) SIAM Rev. , vol.32 , pp. 262-288
    • Levine, H.A.1
  • 6
    • 0342324264 scopus 로고
    • On a question of blow-up for semilinear parabolic systems
    • Morgan, J. (1990). On a question of blow-up for semilinear parabolic systems, Diff. Integr. Eq. 3, 973-978.
    • (1990) Diff. Integr. Eq. , vol.3 , pp. 973-978
    • Morgan, J.1
  • 7
    • 51249193587 scopus 로고
    • An approach to the mathematical biophysics of biological self-regulation and of cell polarity
    • Rashevsky, N. (1940). An approach to the mathematical biophysics of biological self-regulation and of cell polarity, Bull. Math. Biophys. 2, 15-25.
    • (1940) Bull. Math. Biophys. , vol.2 , pp. 15-25
    • Rashevsky, N.1
  • 8
    • 0002011401 scopus 로고
    • The chemical basis of morphogenesis
    • Turing, A. M. (1952). The chemical basis of morphogenesis, Phil. Trans. Roy. Soc. London B237, 37-72.
    • (1952) Phil. Trans. Roy. Soc. London , vol.B237 , pp. 37-72
    • Turing, A.M.1
  • 9
    • 0000530223 scopus 로고
    • Invariant sets for weakly coupled parabolic and elliptic systems
    • Weinberger, H. (1975). Invariant sets for weakly coupled parabolic and elliptic systems. Rend. Mat. 8, 295-310.
    • (1975) Rend. Mat. , vol.8 , pp. 295-310
    • Weinberger, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.