We study non-isothermal nucleation and growth phase transformations, which are described by a generalized Avrami model for the phase transition coupled with an energy balance to account for recalescence effects. The main novelty of our work is the identification of temperature dependent nucleation rates. We prove that such rates can be uniquely identified from measurements in a subdomain and ap...

The theory of growth kinetics developed previously is extended to the asym-metric case of oo-critical quenches for systems with a conserved scalar order parameter. In this instance the new parameter M, the average global value of the order parameter, enters the theory. For M = 0 one has critical quenches, while for suuciently large M one approaches the coexistence curve. For all M the theory su...

The objective of this study was to estimate genetic parameters that are to be used for across-herd genetic evaluations of seed stock pigs at GGP level. Performance data with pedigree information collected from swine breeder farms in Korea were provided by Korea Animal Improvement Association (AIAK). Performance data were composed of final body weights at test days and ultrasound measures of bac...

An infinite elastic medium with a planar crack is considered. The crack is subjected to the pressure of fluid injected at a point on the crack surface. Description of the crack growth is based on the lubrication equation (balance of the injected fluid and the crack volume), the equation for crack opening caused by fluid pressure on the crack surface, the Poiseuille equation related local fluid ...

Hall effect measurements on unintentionally doped Al0.25Ga0.75N/GaN/AlN heterostructures grown by metal organic chemical vapor deposition (MOCVD) were carried out as a function of temperature (20–300 K) and magnetic field (0–1.4 T). Magnetic-field-dependent Hall data are analyzed using the quantitative mobility spectrum analysis (QMSA) technique. The QMSA technique successfully separated electr...

We consider the behavior of the asymptotic speed of growth and the asymptotic shape in some growth models, when a certain parameter becomes small. The basic example treated is the variant of Richardson's growth model on Z d in which each site which is not yet occupied becomes occupied at rate 1 if it has at least two occupied neighbors, at rate " 1 if it has exactly 1 occupied neighbor and, of ...

Parameter testing algorithms are using constant number of queries to estimate the value of a certain parameter of a very large finite graph. It is well-known that graph parameters such as the independence ratio or the edit-distance from 3-colorability are not testable in bounded degree graphs. We prove, however, that these and several other interesting graph parameters are testable in bounded d...

We consider a variant of the game of Cops and Robbers, called Lazy Cops and Robbers, where at most one cop can move in any round. We investigate the analogue of the cop number for this game, which we call the lazy cop number. Lazy Cops and Robbers was recently introduced by Offner and Ojakian, who provided asymptotic upper and lower bounds on the lazy cop number of the hypercube. By coupling th...

Publications are increasingly (often wrongly) being used as research outputs. Furthermore, ‘impacts’ of such publications are often (wrongly as well) measured using ‘citations’. Popular metric, like the ‘Hirsch index’, or ‘h-index’ is used as yardstick for judging the quality of individual researchers. However, there are many controversies around it, whether it is a good yardstick, which could ...