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Stability of solutions to a destabilized hopf equation
Author(s) -
Hayes Brian T.
Publication year - 1995
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.3160480204
Subject(s) - mathematics , inviscid flow , attractor , burgers' equation , stability (learning theory) , mathematical analysis , zero (linguistics) , term (time) , partial differential equation , classical mechanics , physics , linguistics , philosophy , machine learning , computer science , quantum mechanics
The Hopf, or inviscid Burgers equation, destabilized by a linear source term is studied for periodic data. It is shown that for mean‐zero initial data whose integral has a unique minimum in each period, the stationary solution is a global attractor.
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