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Volumn 8, Issue 2, 2004, Pages 153-166

Global existence for a class of quasilinear reaction-diffusion systems

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CHEMICAL REACTIONS; DIFFUSION; MATHEMATICAL MODELS; POLYNOMIALS; VECTORS;

EID: 10644245998     PISSN: 10832564     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (12)

References (14)
  • 1
    • 84972541997 scopus 로고
    • Dynamic theory of quasilinear parabolic equations II. Reaction-diffusion systems
    • H. Amann, Dynamic theory of quasilinear parabolic equations II. Reaction-diffusion systems, Differential Integral Equations, 3 (1990), 13-30.
    • (1990) Differential Integral Equations , vol.3 , pp. 13-30
    • Amann, H.1
  • 2
    • 0001842649 scopus 로고
    • Large time behavior of nonlinear reaction-diffusion equations
    • E. Conway, D. Hoff and J. Smoller, Large time behavior of nonlinear reaction-diffusion equations, SIAM J. Appl. Math., 35, No. 1 (1978), 1-16.
    • (1978) SIAM J. Appl. Math. , vol.35 , Issue.1 , pp. 1-16
    • Conway, E.1    Hoff, D.2    Smoller, J.3
  • 3
    • 0031519867 scopus 로고    scopus 로고
    • Stability and Lyapunov functions for reaction-diffusion systems
    • W.E. Fitzgibbon, S.L. Hollis and J. Morgan, Stability and Lyapunov functions for reaction-diffusion systems, SIAM J. Math. Anal., 28, No. 3 (1997), 595-610.
    • (1997) SIAM J. Math. Anal. , vol.28 , Issue.3 , pp. 595-610
    • Fitzgibbon, W.E.1    Hollis, S.L.2    Morgan, J.3
  • 4
    • 0010004369 scopus 로고    scopus 로고
    • Steady state solutions for balanced reaction diffusion systems on heterogeneous domains
    • to appear
    • W.E. Fitzgibbon, S.L. Hollis and J. Morgan, Steady state solutions for balanced reaction diffusion systems on heterogeneous domains, Differential and Integral Equations, to appear (1999).
    • (1999) Differential and Integral Equations
    • Fitzgibbon, W.E.1    Hollis, S.L.2    Morgan, J.3
  • 5
    • 38249022517 scopus 로고
    • Existence of solutions for a class of weakly coupled semilinear elliptic systems
    • W.E. Fitzgibbon and J. Morgan, Existence of solutions for a class of weakly coupled semilinear elliptic systems, JDE, 77 (1989), 351-368.
    • (1989) JDE , vol.77 , pp. 351-368
    • Fitzgibbon, W.E.1    Morgan, J.2
  • 6
    • 0001243397 scopus 로고
    • Global existence and boundedness in reaction-diffusion systems
    • S.L. Hollis, R.H. Martin and M. Pierre, Global existence and boundedness in reaction-diffusion systems, SIAM J. Math. Anal., 18 (1987), 744-761.
    • (1987) SIAM J. Math. Anal. , vol.18 , pp. 744-761
    • Hollis, S.L.1    Martin, R.H.2    Pierre, M.3
  • 7
    • 38249008895 scopus 로고
    • 1 a priori estimates
    • 1 a priori estimates, JDE, 92 (1992), 260-276.
    • (1992) JDE , vol.92 , pp. 260-276
    • Hollis, S.L.1    Morgan, J.2
  • 8
    • 21844507432 scopus 로고
    • On the blow-up of solutions to some semilinear and quasilinear reaction-diffusion systems
    • S.L. Hollis and J. Morgan, On the blow-up of solutions to some semilinear and quasilinear reaction-diffusion systems, Rocky Mountain J. Math., 14 (1994), 1447-1465.
    • (1994) Rocky Mountain J. Math. , vol.14 , pp. 1447-1465
    • Hollis, S.L.1    Morgan, J.2
  • 9
    • 0009345577 scopus 로고
    • Cauchy's problem for semilinear parabolic equations with balance conditions
    • English Translation in
    • Ya.I. Kanel, Cauchy's problem for semilinear parabolic equations with balance conditions, English Translation in: Differentsial'nye Uravneniya, 20 (1984), 1753-1760.
    • (1984) Differentsial'nye Uravneniya , vol.20 , pp. 1753-1760
    • Kanel, Ya.I.1
  • 10
    • 0009345578 scopus 로고
    • Solvability in the large of a reaction-diffusion equation system with a balance condition
    • English Translation in
    • Ya.I. Kanel, Solvability in the large of a reaction-diffusion equation system with a balance condition, English Translation in: Differentsial'nye Uravneniya, 26 (1990), 448-458.
    • (1990) Differentsial'nye Uravneniya , vol.26 , pp. 448-458
    • Kanel, Ya.I.1
  • 12
    • 0000753609 scopus 로고
    • Global existence for semilinear parabolic systems
    • J. Morgan, Global existence for semilinear parabolic systems, SIAM J. Math. Anal., 20 (1989), 1128-1144.
    • (1989) SIAM J. Math. Anal. , vol.20 , pp. 1128-1144
    • Morgan, J.1
  • 13
    • 0000793223 scopus 로고
    • Boundedness and decay results for reaction-diffusion systems
    • J. Morgan, Boundedness and decay results for reaction-diffusion systems, SIAM J. Math. Anal., 21 (1990), 1172-1189.
    • (1990) SIAM J. Math. Anal. , vol.21 , pp. 1172-1189
    • Morgan, J.1
  • 14
    • 0001728032 scopus 로고
    • Sustained patterns in chorite-iodite reactions in a one dimensional reactor
    • Q. Ouyang, V. Castets, J. Boissonade, J.C. Roux, and P. DeKepper, Sustained patterns in chorite-iodite reactions in a one dimensional reactor, J. Chem. Phys., 95 (1991), 351-360.
    • (1991) J. Chem. Phys. , vol.95 , pp. 351-360
    • Ouyang, Q.1    Castets, V.2    Boissonade, J.3    Roux, J.C.4    DeKepper, P.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.