We prove a general convergence result for singular perturbations with an arbitrary number of scales of fully nonlinear degenerate parabolic PDEs. As a special case we cover the iterated homogenization for such equations with oscillating initial data. Explicit examples, among others, are the two-scale homogenization of quasilinear equations driven by a general hypoelliptic operator and the n-sca...

—Widespread introduction of common species coupled with extirpation of endemic species can cause fish assemblages to lose much of their regional uniqueness. This process of biotic homogenization contrasts with biotic differentiation, whereby initially similar fish faunas diverge due to introductions of different species. The relative importance of homogenization and differentiation in altering ...

 In this work, effects of homogenization time of 3 to 13 h at 1200 °C on the grain refinement of as-cast AISI 301 stainless steel after different hot rolling conditions were investigated. The results showed that the minimum grain size of 16±7 mm was achieved when homogenization took place at 1200 °C for 9 h followed by hot rolling at temperature range of 1000–1200 °C with strain of 0.8 and stra...

The world is currently undergoing an unprecedented decline in biodiversity, which is mainly attributable to human activities. For instance, nonnative species introduction, combined with the extirpation of native species, affects biodiversity patterns, notably by increasing the similarity among species assemblages. This biodiversity change, called taxonomic homogenization, has rarely been assess...

Laboratory examination consists of three stages, namely pre-analytical, analytical, and post-analytic. The biggest error occurred in the pre-analytical stage, which was around 61%. Homogenization including stage is process mixing blood anticoagulants are included stage. has two ways manual automatic. Inadequate homogenization can cause clots or rupture erythrocytes/lysis shrinkage erythrocytes,...

BACKGROUND This study was undertaken to compare the sleep profiles of healthy infants in swaddling and sleeping bag conditions. METHODS Polysomnographs of 85 healthy infants (40 in the study group, 45 in the control group) with a mean age of 7.5 weeks were recorded in the sleeping laboratory. A positive decision from the local Ethics Committee and the written consent of the parents were obtai...

In this paper we investigate the homogenization problem with a non-homogeneous Dirichlet condition. Our aim is to give error estimates with boundary data in H1/2(∂Ω). The tools used are those of the unfolding method in periodic homogenization.

Let H(q,p) be a Hamiltonian on T * n . Under suitable assumptions H, we show that the sequence (H k ) k≥1 defined by H (q,p)=H(kq,p) converges in γ-topology—defined [Vit92]—to an integrable continuous ¯(p). This is extended to case of non-autonomous Hamiltonians, and more general setting which only some variables are homogenized: consider H(kx,y,q,p) prove it has γ-limit ¯(y,q,p), thus yielding...