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arXiv · 1408.3436

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

Vanderley Ferreira Jr·Ederson Moreira dos Santos
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Abstract

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 in [F. Gazzola and R. Pavani. Wide oscillation finite time blow up for solutions to nonlinear fourth order differential equations. 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.

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Vanderley Ferreira Jr, Ederson Moreira dos Santos. 2014-08-14. On the finite space blow up of the solutions of the Swift-Hohenberg equation. https://doi.org/10.1007/s00526-015-0821-6

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