STABILITY CRITERION FOR ENVELOPE EQUATIONS.

Charles G. Lange, Alan C Newell

Research output: Contribution to journalArticle

104 Citations (Scopus)

Abstract

The statistical initial value problem for the envelope equation dw/dt minus gamma d**2w/dx**2 equals chi w- beta w**2w*; gamma , beta complex, is discussed. (The derivatives are both partial derivatives. ) It is shown that there exists an instability (stability) criterion which determines whether the system underlying the above equation achieves or does not achieve a monochromatic state.

Original languageEnglish (US)
Pages (from-to)441-456
Number of pages16
JournalSIAM Journal on Applied Mathematics
Volume27
Issue number3
StatePublished - Nov 1974
Externally publishedYes

Fingerprint

Stability criteria
Stability Criteria
Envelope
Derivatives
Initial value problems
Partial derivative
Initial Value Problem
Derivative

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

STABILITY CRITERION FOR ENVELOPE EQUATIONS. / Lange, Charles G.; Newell, Alan C.

In: SIAM Journal on Applied Mathematics, Vol. 27, No. 3, 11.1974, p. 441-456.

Research output: Contribution to journalArticle

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