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Volumn 21, Issue 1, 2008, Pages 119-128

Asymptotic solution of activator inhibitor systems for nonlinear reaction diffusion equations

Author keywords

Activator system; Nonlinear; Reaction diffusion; Singular perturbation

Indexed keywords

ACTIVATOR SYSTEMS; REACTION DIFFUSION; SINGULAR PERTURBATION;

EID: 38849097673     PISSN: 10096124     EISSN: 15597067     Source Type: Journal    
DOI: 10.1007/s11424-008-9071-4     Document Type: Article
Times cited : (55)

References (18)
  • 2
    • 30344464119 scopus 로고    scopus 로고
    • On positive solution concentrating on spheres for the Gierer-Meinhardt system
    • 1
    • W. M. Ni and J. C. Wei, On positive solution concentrating on spheres for the Gierer-Meinhardt system, J. Diff. Eqns., 2006, 221(1): 158-189.
    • (2006) J. Diff. Eqns. , vol.221 , pp. 158-189
    • Ni, W.M.1    Wei, J.C.2
  • 3
    • 4344706960 scopus 로고    scopus 로고
    • Coexistence of a pulse and multiple spikes and transition layers in the standing waves of a reaction-diffusion system
    • 1
    • F. Zhang, Coexistence of a pulse and multiple spikes and transition layers in the standing waves of a reaction-diffusion system, J. Diff. Eqns., 2004, 205(1): 77-155.
    • (2004) J. Diff. Eqns. , vol.205 , pp. 77-155
    • Zhang, F.1
  • 4
    • 15444368693 scopus 로고    scopus 로고
    • Limit behavior of two-time-scale diffusion revisited
    • 1
    • R. Z. Khasminskii and G. Yin, Limit behavior of two-time-scale diffusion revisited, J. Diff. Eqns., 2005, 212(1): 85-113.
    • (2005) J. Diff. Eqns. , vol.212 , pp. 85-113
    • Khasminskii, R.Z.1    Yin, G.2
  • 5
    • 14544290027 scopus 로고    scopus 로고
    • Existence and asymptotic behavior of solutions for a class of nonlinear elliptic equations with Neumann condition
    • 1
    • I. Marques, Existence and asymptotic behavior of solutions for a class of nonlinear elliptic equations with Neumann condition, Nonlinear Anal., 2005, 61(1): 21-40.
    • (2005) Nonlinear Anal. , vol.61 , pp. 21-40
    • Marques, I.1
  • 6
    • 17444428937 scopus 로고    scopus 로고
    • The behavior of solutions of multidimensional singularly perturbed system with one fast variable
    • 1
    • A. S. Bobkova, The behavior of solutions of multidimensional singularly perturbed system with one fast variable, Diff. Eqns., 2005, 41(1): 23-32.
    • (2005) Diff. Eqns. , vol.41 , pp. 23-32
    • Bobkova, A.S.1
  • 7
    • 0001199548 scopus 로고
    • A singularly perturbed nonlinear boundary value problem
    • 1
    • J. Q. Mo, A singularly perturbed nonlinear boundary value problem, J. Math. Anal. Appl., 1993, 178(1): 289-293.
    • (1993) J. Math. Anal. Appl. , vol.178 , pp. 289-293
    • Mo, J.Q.1
  • 8
    • 0001339156 scopus 로고
    • Singular perturbation for a class of nonlinear reaction diffusion systems
    • 11
    • J. Q. Mo, Singular perturbation for a class of nonlinear reaction diffusion systems, Science in China Ser. A, 1989, 32(11): 1306-1315.
    • (1989) Science in China Ser. A , vol.32 , pp. 1306-1315
    • Mo, J.Q.1
  • 9
    • 16244414298 scopus 로고    scopus 로고
    • A nonlinear singular perturbed problem for reaction diffusion equations with boundary perturbation
    • 1
    • J. Q. Mo and W. T. Lin, A nonlinear singular perturbed problem for reaction diffusion equations with boundary perturbation, Acta Math. Appl. Sinica, 2005, 21(1): 101-104.
    • (2005) Acta Math. Appl. Sinica , vol.21 , pp. 101-104
    • Mo, J.Q.1    Lin, W.T.2
  • 10
    • 0042709013 scopus 로고    scopus 로고
    • The singularly perturbed boundary value problems for higher-order semilinear elliptic equations
    • 2
    • J. Q. Mo and S. Shao, The singularly perturbed boundary value problems for higher-order semilinear elliptic equations, Advances in Math., 2001, 30(2): 141-148.
    • (2001) Advances in Math. , vol.30 , pp. 141-148
    • Mo, J.Q.1    Shao, S.2
  • 11
    • 0142026411 scopus 로고    scopus 로고
    • Asymptotic behavior of the shock solution for a class of nonlinear equations
    • 9
    • J. Q. Mo, J. Zhu, and H. Wang, Asymptotic behavior of the shock solution for a class of nonlinear equations, Progress in Natural Sci., 2003, 13(9): 768-770.
    • (2003) Progress in Natural Sci. , vol.13 , pp. 768-770
    • Mo, J.Q.1    Zhu, J.2    Wang, H.3
  • 12
    • 33744950531 scopus 로고    scopus 로고
    • Asymptotic shock solution for a nonlinear equation
    • 2
    • J. Q. Mo and X. L. Han, Asymptotic shock solution for a nonlinear equation, Acta Math. Sci., 2004, 24(2): 164-167.
    • (2004) Acta Math. Sci. , vol.24 , pp. 164-167
    • Mo, J.Q.1    Han, X.L.2
  • 13
    • 27144483217 scopus 로고    scopus 로고
    • A variational iteration solving method for ENSO mechanism
    • 12
    • J. Q. Mo, W. T. Lin, and J. Zhu, A variational iteration solving method for ENSO mechanism, Progress in Natural Sci., 2004, 14(12): 1126-1128.
    • (2004) Progress in Natural Sci. , vol.14 , pp. 1126-1128
    • Mo, J.Q.1    Lin, W.T.2    Zhu, J.3
  • 14
    • 33344470018 scopus 로고    scopus 로고
    • Sea-air oscillator model for equatorial eastern Pacific SST
    • 1
    • J. Q. Mo, H. Wang, W. T. Lin, and Y. H. Lin, Sea-air oscillator model for equatorial eastern Pacific SST, Acta Phys. Sinica, 2006, 55(1): 6-9.
    • (2006) Acta Phys. Sinica , vol.55 , pp. 6-9
    • Mo, J.Q.1    Wang, H.2    Lin, W.T.3    Lin, Y.H.4
  • 15
    • 33645682113 scopus 로고    scopus 로고
    • Varitional iteration method thr mechanism of the equatorial eastern Pacific El Nino-Southern Oscillation
    • 4
    • J. Q. Mo, H. Wang, W. T. Lin, and Y. H. Lin, Varitional iteration method thr mechanism of the equatorial eastern Pacific El Nino-Southern Oscillation, Chin. Phys., 2006, 15(4): 671-675.
    • (2006) Chin. Phys. , vol.15 , pp. 671-675
    • Mo, J.Q.1    Wang, H.2    Lin, W.T.3    Lin, Y.H.4
  • 16
    • 0042762788 scopus 로고    scopus 로고
    • Instability of planar travling waves in bistable reaction-diffusion systems
    • 1
    • M. Taniguchi, Instability of planar travling waves in bistable reaction-diffusion systems, Discrete and Continuous Dynamicl Systems, 2003, 3B(1): 21-44.
    • (2003) Discrete and Continuous Dynamicl Systems , vol.3 , pp. 21-44
    • Taniguchi, M.1
  • 17
    • 36749112287 scopus 로고
    • Chemical relaxation pulses and waves, analysis of lowest order multiple time scales expansion
    • 10
    • M. A. Collins and J. Ross, Chemical relaxation pulses and waves, analysis of lowest order multiple time scales expansion, J. Chem. Phys., 1978, 68(10): 3774-3784.
    • (1978) J. Chem. Phys. , vol.68 , pp. 3774-3784
    • Collins, M.A.1    Ross, J.2
  • 18
    • 0001558564 scopus 로고
    • Theory of propagation of discontinuities in kinetic systems with multiple time scales: Fronts, front multiplicity, and pulses
    • 9
    • P. Ortoleva and J. Ross, Theory of propagation of discontinuities in kinetic systems with multiple time scales: Fronts, front multiplicity, and pulses, J. Chem. Phys., 1975, 63(9): 3398-3408.
    • (1975) J. Chem. Phys. , vol.63 , pp. 3398-3408
    • Ortoleva, P.1    Ross, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.