Homogenization of a Periodic Parabolic Cauchy Problem in the
          Sobolev Space H1
          (ℝd)

T. Suslina

Displaying similar documents to “Homogenization of a Periodic Parabolic Cauchy Problem in the Sobolev Space H1 (ℝd)”

Limit theorems for measure-valued processes of the level-exceedance type

Andriy Yurachkivsky (2012)

ESAIM: Probability and Statistics

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Let, for each , (, ۔) be a random measure on the Borel -algebra in ℝ such that E(, ℝ) < ∞ for all and let $\hat{ψ}$ (, ۔) be its characteristic function. We call the function $\hat{ψ}$ ( ,…, ; ,…, ) = $𝖤 \prod_{j = 1}^{l} \hat{ψ} (t_{j}, z_{j})$ of arguments ℕ, , … , , ℝ the of the measure-valued random function (MVRF) (۔, ۔). A...

Stabilité sous condition CFL non linéaire

Erwan Deriaz, Dmitry Kolomenskiy (2012)

ESAIM: Proceedings

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We present a basic althought little known numerical stability condition: for convection equations, the von Neumann stability constraint ∥ ∥ ≤ (1 + Δ) ∥ ∥ drives to the stability condition Δ ≤ Δ with $α = \frac{p (2 q - 1)}{q (2 p - 1)}$ where is an integer linked to the stability domain of the time scheme and ≥ an integer linked to the upwind property of the space discretization...

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...