Displaying similar documents to “On the formal first cocycle equation for iteration groups of type II”

On the helix equation

Mohamed Hmissi, Imene Ben Salah, Hajer Taouil (2012)

ESAIM: Proceedings

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This paper is devoted to the helices processes, i.e. the solutions H : ℝ × Ω → ℝ d , (t, ω) ↦ H(t, ω) of the helix equation H ( 0 ,ω ) = 0 ;   H ( s + t,ω ) = H ( s, Φ ( t,ω ) ) + H ( t,ω ) where Φ : ℝ × Ω → Ω, (t, ω) ↦ Φ(t, ω) is a dynamical...

A simple proof of the characterization of functions of low Aviles Giga energy on a ball regularity

Andrew Lorent (2012)

ESAIM: Control, Optimisation and Calculus of Variations

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The Aviles Giga functional is a well known second order functional that forms a model for blistering and in a certain regime liquid crystals, a related functional models thin magnetized films. Given Lipschitz domain  ⊂ ℝ the functional is I ϵ ( u ) = 1 2 ∫ Ω ϵ -1 1 − Du 2 2 + ϵ D 2 u 2 d z where belongs to the subset of functions in W 0 2 , 2 ( Ω ) whose gradient (in the sense of trace) satisfies ()·  = 1 where is...