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Annali dell’Università di Ferrara

, Volume 46, Issue 1, pp 175–180 | Cite as

A note on the nonexistence of monotonic steady solutions of the Kuramoto-Sivashinsky equation

  • Naoyuki Ishimura
  • Masaaki Nakamura
Article
  • 26 Downloads

Abstract

We present a simple proof of the nonexistence of monotonic solutions derived from the Kuramoto-Sivashinsky equation. Although our method restricts the range of parameters, it has the advantage of applicability to other equations, which includes a model of dendritic growth of needle crystals.

Keywords

Travel Wave Solution Dendritic Growth Heteroclinic Orbit Steady Solution Laminar Flame 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Sunto

In questo lavoro, presentiamo una semplice dimostrazione di non esistenza di soluzioni monotone per l’equazione di Kuramoto-Sivashinsky. Sebbene il nostro metodo restringa il range dei parametri, esso ha il vantaggio di essere applicabile anche ad equazioni aventi interesse fisico quali descriventi un modello locale di solidificazione.

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Copyright information

© Università degli Studi di Ferrara 2000

Authors and Affiliations

  • Naoyuki Ishimura
    • 1
  • Masaaki Nakamura
    • 2
  1. 1.Department of MathematicsHitotsubashi UniversityTokyoJapan
  2. 2.College of Science and TechnologyNihon UniversityTokyoJapan

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