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Volumn 2000, Issue , 2000, Pages

Stochastic perturbations of the Allen-Cah equation

Author keywords

Asymptotics; Dynamics of phase boundaries; Stochastic partial differential equations

Indexed keywords


EID: 52849138562     PISSN: 10726691     EISSN: 10726691     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (7)

References (13)
  • 1
    • 0018480694 scopus 로고
    • A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsing
    • S. ALLEN AND J. W. CAHN, A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsing, Acta Metallurgica, (1979), pp. 1084-1095.
    • (1979) Acta Metallurgica , pp. 1084-1095
    • Allen, S.1    Cahn, J.W.2
  • 2
    • 84990619184 scopus 로고
    • Metastable patterns in solutions ofut = t2uxx f(u)
    • J. CARR AND R. L. PEGO, Metastable patterns in solutions ofut = t2uxx f(u), Comm. Pure Appl. Math., 42 (1989), pp. 523-576.
    • (1989) Comm. Pure Appl. Math. , vol.42 , pp. 523-576
    • Carr, J.1    Pego, R.L.2
  • 3
    • 0016345113 scopus 로고
    • A bifurcation problem for a nonlinear partial differential equation of parabolic type
    • N. CHAFEE AND E. F. INFANTE, A bifurcation problem for a nonlinear partial differential equation of parabolic type, Applicable Anal., 4 (1974/75), pp. 17-37.
    • (1974) Applicable Anal. , vol.4 , pp. 17-37
    • Chafee, N.1    Infante, E.F.2
  • 6
    • 0001863910 scopus 로고
    • Slow-motion manifolds, dormant instability, and singular perturbations
    • G. Fusco AND J. K. HALE, Slow-motion manifolds, dormant instability, and singular perturbations, J. Dynamics Differential Equations, 1 (1989), pp. 75-94.
    • (1989) J. Dynamics Differential Equations , vol.1 , pp. 75-94
    • Fusco, G.1    Hale, J.K.2
  • 7
    • 0005441873 scopus 로고
    • On the motion of viscous shocks and the supersensitivity of their steady-state limits
    • J. G. L. LAFORGUE AND R. E. O'MALLEY, JR., On the motion of viscous shocks and the supersensitivity of their steady-state limits, Methods Appl. Anal., 1 (1994), pp. 465-487.
    • (1994) Methods Appl. Anal. , vol.1 , pp. 465-487
    • Laforgue, J.G.L.1    O'Malley Jr., R.E.2
  • 8
    • 21844484809 scopus 로고
    • Viscous shock motion for advection-diffusion equations
    • _, Viscous shock motion for advection-diffusion equations, Stud. Appl. Math., 95 (1995), pp. 147-170.
    • (1995) Stud. Appl. Math. , vol.95 , pp. 147-170
  • 10
    • 0005487076 scopus 로고
    • On exponential ill-conditioning and internal layer behavior
    • L. G. REYNA AND M. J. WARD, On exponential ill-conditioning and internal layer behavior, Numer. Funct. Anal. Optim., 16 (1995), pp. 475-500.
    • (1995) Numer. Funct. Anal. Optim. , vol.16 , pp. 475-500
    • Reyna, L.G.1    Ward, M.J.2
  • 11
    • 0032676044 scopus 로고    scopus 로고
    • Numerical methods for stochastic parabolic PDEs
    • T. SHARDLOW, Numerical methods for stochastic parabolic PDEs, Numer. Funct. Anal. Optim., 20 (1999), pp. 121-145.
    • (1999) Numer. Funct. Anal. Optim. , vol.20 , pp. 121-145
    • Shardlow, T.1
  • 12
    • 0001822693 scopus 로고
    • Metastable patterns, layer collapses, and coarsening for a one-dimensional Ginzburg-Landau equation
    • M. J. WARD, Metastable patterns, layer collapses, and coarsening for a one-dimensional Ginzburg-Landau equation, Stud. Appl. Math., 91 (1994), pp. 51-93.
    • (1994) Stud. Appl. Math. , vol.91 , pp. 51-93
    • Ward, M.J.1
  • 13
    • 0029289787 scopus 로고
    • Internal layers, small eigenvalues, and the sensitivity of metastable motion
    • Perturbation methods in physical mathematics (Troy, NY, 1993).
    • M. J. WARD AND L. G. REYNA, Internal layers, small eigenvalues, and the sensitivity of metastable motion, SIAM J. Appl. Math., 55 (1995), pp. 425445. Perturbation methods in physical mathematics (Troy, NY, 1993).
    • (1995) SIAM J. Appl. Math. , vol.55 , pp. 425445
    • Ward, M.J.1    Reyna, L.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.