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The steady states of one dimensional Sivashinsky equations

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Publication:758173
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DOI10.1016/0893-9659(91)90039-XzbMath0724.65123MaRDI QIDQ758173

Amy Novick-Cohen, Lambertus A. Peletier

Publication date: 1991

Published in: Applied Mathematics Letters (Search for Journal in Brave)


zbMATH Keywords

phase transitionsSivashinsky equationdirectional solidificationnumber of steady statesPhase plane analysis


Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Applications to the sciences (65Z05)


Related Items (1)

Large-amplitude solutions to the Sivashinsky and Riley-Davis equations for directional solidification




Cites Work

  • Structured phase transitions on a finite interval
  • On Cahn-Hilliard type equations
  • Asymptotic behavior of solution to the Cahn-Hillard equation
  • The steady states of one-dimensional Sivashinsky equations
  • Free Energy of a Nonuniform System. I. Interfacial Free Energy




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