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Volumn 308, Issue 1, 2005, Pages 240-256

Asymptotic stability of traveling waves in a discrete convolution model for phase transitions

Author keywords

Asymptotic stability; Comparison principle; Discrete convolution model; Traveling wave front

Indexed keywords


EID: 19044394090     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2005.01.011     Document Type: Article
Times cited : (15)

References (11)
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  • 3
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    • Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations
    • X. Chen Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations Adv. Differential Equations 2 1997 125-160
    • (1997) Adv. Differential Equations , vol.2 , pp. 125-160
    • Chen, X.1
  • 4
    • 0037144960 scopus 로고    scopus 로고
    • Existence and asymptotic stability of traveling waves of discrete quasilinear monostable equations
    • X. Chen J.S. Guo Existence and asymptotic stability of traveling waves of discrete quasilinear monostable equations J. Differential Equations 184 2002 549-569
    • (2002) J. Differential Equations , vol.184 , pp. 549-569
    • Chen, X.1    Guo, J.S.2
  • 6
    • 24644513702 scopus 로고    scopus 로고
    • Traveling waves for delayed reaction diffusion equations with non-local response
    • preprint
    • T. Faria, W. Huang, J. Wu, Traveling waves for delayed reaction diffusion equations with non-local response, preprint
    • Faria, T.1    Huang, W.2    Wu, J.3
  • 7
    • 0017637590 scopus 로고
    • The approach of solutions of nonlinear equations to travelling front solutions
    • P.C. Fife J.B. McLeod The approach of solutions of nonlinear equations to travelling front solutions Arch. Rational Mech. Anal. 65 1977 335-361
    • (1977) Arch. Rational Mech. Anal. , vol.65 , pp. 335-361
    • Fife, P.C.1    McLeod, J.B.2
  • 8
    • 15444365827 scopus 로고    scopus 로고
    • Non-locality of reaction-diffusion equations induced by delay: Biological modelling and nonlinear dynamics
    • preprint
    • S.A. Gourley, J.W.-H. So, J.H. Wu, Non-locality of reaction-diffusion equations induced by delay: Biological modelling and nonlinear dynamics, preprint
    • Gourley, S.A.1    So, J.W.-H.2    Wu, J.H.3
  • 9
    • 15444373149 scopus 로고    scopus 로고
    • Existence, uniqueness and asymptotic stability of traveling wavefronts in a non-local delayed diffusion equation
    • preprint
    • S.W. Ma, J.H. Wu, Existence, uniqueness and asymptotic stability of traveling wavefronts in a non-local delayed diffusion equation, preprint
    • Ma, S.W.1    Wu, J.H.2
  • 10
    • 19044375188 scopus 로고    scopus 로고
    • Existence, uniqueness and asymptotic stability of traveling waves in a discrete monostable equation with delay
    • preprint
    • S.W. Ma, X.F. Zou, Existence, uniqueness and asymptotic stability of traveling waves in a discrete monostable equation with delay, preprint
    • Ma, S.W.1    Zou, X.F.2
  • 11
    • 0040807398 scopus 로고    scopus 로고
    • Global asymptotic stability of traveling waves in delayed reaction-diffusion equations
    • H.L. Smith X.Q. Zhao Global asymptotic stability of traveling waves in delayed reaction-diffusion equations SIAM J. Math. Anal. 31 2000 514-534
    • (2000) SIAM J. Math. Anal. , vol.31 , pp. 514-534
    • Smith, H.L.1    Zhao, X.Q.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.