On the formal first cocycle equation for iteration groups of type II

Harald Fripertinger; Ludwig Reich

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 $\begin{matrix} H (0,ω) = 0; H (s + t,ω) = H (s, Φ (t,ω)) + H (t,ω) \end{matrix}$ 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 $I_{ϵ} (u) = \frac{1}{2} {^{\int}}_{Ω} ϵ^{-1} {|1 - {|Du|}^{2}|}^{2} + ϵ {|D^{2} u|}^{2} d z$ where belongs to the subset of functions in $W_{0}^{2, 2} (Ω)$ whose gradient (in the sense of trace) satisfies ()· = 1 where is...

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

On the helix equation

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