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Transversal interface dynamics of a front connecting a stripe pattern to a uniform state
(EDP SCIENCES S A, 2008)
Interfaces in two-dimensional systems exhibit unexpected complex dynamical behaviors, the dynamics of a border connecting a stripe pattern and a uniform state is studied. Numerical simulations of a prototype isotropic ...
Rodlike localized structure in isotropic pattern-forming systems
(American Physical Society, 2015)
Stationary two-dimensional localized structures have been observed in a wide variety of dissipative systems. The existence, stability properties, dynamical evolution, and bifurcation diagram of an azimuthal symmetry breaking, ...
From Localized Spots To The Formation Of Invaginated Labyrinthine Structures In A Swift-Hohenberg Model
(2015)
The stability of a circular localized spot with respect to azimuthal perturbations is studied in a prototype variational model, namely, a Swift-Hohenberg type equation. The conditions under which the circular shape of the ...
From localized spots to the formation of invaginated labyrinthine structures in a Swift-Hohenberg model
(Elsevier, 2015)
The stability of a circular localized spot with respect to azimuthal perturbations is studied in a prototype variational model, namely, a Swift-Hohenberg type equation. The conditions under which the circular shape of the ...
On the finite space blow up of the solutions of the Swift–Hohenberg equation
(SpringerHeidelberg, 2015-09)
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, ...