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math.AP2016★ 10 cited
Domain formation in membranes near the onset of instability
Irene Fonseca, Gurgen Hayrapetyan, Giovanni Leoni +1
The formation of microdomains, also called rafts, in biomembranes can be attributed to the surface tension of the membrane. In order to model this phenomenon, a model involving a c…
math.AP2016
Slow motion for the 1D Swift-Hohenberg equation
Gurgen Hayrapetyan, Matteo Rinaldi
The goal of this paper is to study the behavior of certain solutions to the Swift-Hohenberg equation on a one-dimensional torus . Combining results from -convergence…