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Localized structures and front propagation in systems with a conservation law (2016)

Knobloch, E.

Oxford University Press

In: IMA Journal of Applied Mathematics

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Publication Date: 2016-08-02

Description: The properties of spatially localized structures in systems with a conservation law are reviewed and related to the properties of fronts in such systems. The theory is illustrated using the conserved Swift–Hohenberg equation, and the insights gained used to shed light on the process of crystallization from a melt and on two problems arising in hydrodynamics: convection in a rotating layer and convection in an imposed magnetic field. Spatially localized structures in systems with time-periodic forcing are also considered. Several open problems are highlighted.

Print ISSN: 0272-4960

Electronic ISSN: 1464-3634

Topics: Mathematics

Published by Oxford University Press

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