A third order equation arising in the falling film

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2 Citations (Scopus)

Abstract

We study a third-order differential equation arising in the study of falling film on a coated vertical fibre. We first provide some properties of solutions to this third-order equation. Then we prove some nonexistence results of global solution to this equation under certain boundary condition at infinity.

Original languageEnglish
Pages (from-to)637-643
Number of pages7
JournalTaiwanese Journal of Mathematics
Volume11
Issue number3
DOIs
Publication statusPublished - 2007 Aug

Keywords

  • Falling film
  • Global solutions
  • Initial value problem
  • Third-order differential equation

ASJC Scopus subject areas

  • Mathematics(all)

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