Interfaces between rolls in the Swift-Hohenberg equation

@inproceedings{Haragus2007InterfacesBR,
  title={Interfaces between rolls in the Swift-Hohenberg equation},
  author={Mariana Haragus and Arnd Scheel},
  year={2007}
}
We study the existence of interfaces between stripe or roll solutions in the Swift-Hohenberg equation. We prove the existence of two different types of interfaces: corner-like interfaces, also referred to as knee solutions, and step-like interfaces. The analysis relies upon a spatial dynamics formulation of the existence problem and an equivariant center manifold reduction. In this setting, the interfaces are found as heteroclinic and homoclinic orbits of a reduced system of ODEs… CONTINUE READING

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