Oscillations in a dynamical model of phase transitions

2001 ◽  
Vol 131 (1) ◽  
pp. 59-81 ◽  
Author(s):  
Deborah Brandon ◽  
Irene Fonseca ◽  
Pieter Swart
Keyword(s):  
Fine Structure ◽  
Phase Transitions ◽  
Initial Data ◽  
Initial Strain ◽  
Dynamical Model ◽  
Generalized Solutions ◽  
Viscoelastic Damping ◽  
Young Measures ◽  
Image Position

The creation and propagation of oscillations in a model for the dynamics of fine structure under viscoelastic damping is studied. It is shown that oscillations in the velocity ut are lost immediately as time evolves, while oscillations in the initial strain ux cannot be created, and they persist for all time if initially present. Uniqueness of generalized solutions (Young measures) is obtained, and a characterization of these Young measures is provided in the case of periodic modulated initial data.

scholarly journals A-quasi-convexity with variable coefficients

2004 ◽  
Vol 134 (6) ◽  
pp. 1219-1237 ◽  
Author(s):  
Pedro M. Santos
Keyword(s):  
Variable Coefficients ◽  
Young Measures ◽  
Regularity Conditions ◽  
Lower Semi ◽  
Constant Coefficients ◽  
Additional Regularity ◽  
Image Position ◽  
Quasi Convexity ◽  
Bounded Sequences

It is shown that, for integrals of the type with Ω RN open, bounded and f: Ω × Rm × Rd → [0, + ∞) Carathéodory satisfying a growth condition 0 ≤ f(x, u, υ) ≤ C(1 + |υ|p), for some p ∈ (1, + ∞), a sufficient condition for lower semi-continuity along sequences un → u in measure, υn → υ in Lp, Aυn → 0 in W−1, p is the Ax-quasi-convexity of f(x, u, ·). Here, A is a variable coefficients operator of the form with A(i) ∈ C∞ (Ω; Ml × d) ∩ W1, ∞, i = 1, …, N, satisfying the condition and Ax denotes the constant coefficients operator one obtains by freezing x. Under additional regularity conditions on f, it is proved that the condition above is also necessary. A characterization of the Young measures generated by bounded sequences {υn} in Lp satisfying the condition Aυn → 0 in W−1,p, is obtained.

scholarly journals Singular perturbations of the unicritical polynomials with two parameters

2016 ◽  
Vol 37 (6) ◽  
pp. 1997-2016 ◽  
Author(s):  
YINGQING XIAO ◽  
FEI YANG
Keyword(s):  
Julia Set ◽  
Dynamical Behavior ◽  
Rational Maps ◽  
Topological Properties ◽  
Fatou Set ◽  
The Family ◽  
Image Position ◽  
Two Parameters ◽  
Unicritical Polynomials

In this paper, we study the dynamics of the family of rational maps with two parameters $$\begin{eqnarray}f_{a,b}(z)=z^{n}+\frac{a^{2}}{z^{n}-b}+\frac{a^{2}}{b},\end{eqnarray}$$ where $n\geq 2$ and $a,b\in \mathbb{C}^{\ast }$. We give a characterization of the topological properties of the Julia set and the Fatou set of $f_{a,b}$ according to the dynamical behavior of the orbits of the free critical points.

Mutations at the Saccharomyces cerevisiae SUP4 tRNA Tyr Locus: Isolation, Genetic Fine-Structure Mapping, and Correlation with Physical Structure

1982 ◽  
Vol 2 (12) ◽  
pp. 1501-1513
Author(s):  
Janet Kurjan ◽  
Benjamin D. Hall
Keyword(s):  
Saccharomyces Cerevisiae ◽  
Fine Structure ◽  
Physical Structure ◽  
Mapping Technique ◽  
Structure Mapping ◽  
Isolation And Characterization ◽  
Qualitative Estimate ◽  
Genetic Fine Structure ◽  
Entire Gene

The SUP4 tRNA Tyr locus in Saccharomyces cerevisiae has been studied by the isolation and characterization of mutations at the SUP4 gene which result in the loss of suppressor function. Most of the mutations act as single-site mutations, whereas about a third of the mutations are deletions of the entire gene. Two meiotic fine-structure maps of the gene were made. The first mapping technique placed 10 mutations plus the sup4 + anticodon on a map by a measurement of levels of recombination between pairs of mutations. The second map utilized a more qualitative estimate of recombination frequency, allowing 69 mutations and the sup4 + anticodon to be mapped. The maps were compared with the physical structure of the gene for the 34 mutations whose nucleotide alteration has been determined by DNA sequencing (Koski et al., Cell 22 :415-425, 1980; Kurjan et al., Cell 20 :701-709, 1980). Both maps show a good correlation with the physical structure of the gene, even though certain properties of genetic fine-structure maps, such as marker effects and “map expansion,” were seen.

Synthesis and characterization of Ni incorporated titanium dioxide thin films

2018 ◽  
Vol 33 (24) ◽  
pp. 4165-4172 ◽  
Author(s):  
Deepak Kumar ◽  
Prasanta Mandal ◽  
Anil Singh ◽  
Charu Pant ◽  
Sudesh Sharma
Keyword(s):  
Thin Films ◽  
Titanium Dioxide ◽  
Synthesis And Characterization ◽  
Titanium Dioxide Thin Films ◽  
Image Position

Abstract

Deposition and characterization of nanostructured Cu2O thin-film for potential photovoltaic applications

2013 ◽  
Vol 28 (13) ◽  
pp. 1740-1746 ◽  
Author(s):  
Nishant Gupta ◽  
Rajendra Singh ◽  
Fan Wu ◽  
Jagdish Narayan ◽  
Colin McMillen ◽  
...  
Keyword(s):  
Thin Film ◽  
Photovoltaic Applications ◽  
Cu2o Thin Film ◽  
Image Position

Abstract

scholarly journals Photoacoustic characterization of phase transitions in amorphous metal alloys

1998 ◽  
Vol 66 (2) ◽  
pp. 245-249 ◽  
Author(s):  
D.J. Orzi ◽  
G.M. Bilmes ◽  
J.O. Tocho ◽  
N. Mingolo ◽  
O.E. Martínez
Keyword(s):  
Phase Transitions ◽  
Amorphous Metal ◽  
Metal Alloys ◽  
Amorphous Metal Alloys
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