On the finite space blow up of the solutions of the Swift–Hohenberg equation

The aim of this paper is to study the finite space blow up of the solutions for a class of fourth order differential equations. Our results answer a conjecture by Gazzola and Pavani (Arch Ration Mech Anal 207(2):717–752, 2013 ) and they have implications on the nonexistence of beam oscillation given...

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Bibliographic Details
Published in:Calculus of variations and partial differential equations 2015-09, Vol.54 (1), p.1161-1182
Main Authors: Ferreira, Vanderley, Moreira dos Santos, Ederson
Format: Article
Language:English
Subjects:
Analysis
Arches
Beams (radiation)
Calculus of variations
Calculus of Variations and Optimal Control
Optimization
Control
Differential equations
Low speed
Mathematical analysis
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Systems Theory
Theoretical
Traveling waves
Wave propagation
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Summary:The aim of this paper is to study the finite space blow up of the solutions for a class of fourth order differential equations. Our results answer a conjecture by Gazzola and Pavani (Arch Ration Mech Anal 207(2):717–752, 2013 ) and they have implications on the nonexistence of beam oscillation given by traveling wave profile at low speed propagation.
ISSN:0944-2669
1432-0835
DOI:10.1007/s00526-015-0821-6