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On s’intéresse au phénomène d’explosion en temps fini dans les équations aux dérivées partielles paraboliques non linéaires, particulièrement au profil à l’explosion, des points de vue numérique et théorique. Dans la partie théorique, on s’intéresse au phénomène d’explosion en temps fini pour une classe d’équations semi linéaires de la chaleur perturbées fortement avec l’exposant sous-critique de Sobolev. Travaillant dans le cadre des variables auto-similaires, on obtient d’abord l’existence d’une fonctionnelle de Lyapunov, ce qui constitue une étape cruciale pour établir le taux d’explosion de la solution. Dans une seconde étape, on s’intéresse à la structure de la solution au voisinage du temps et du point d’explosion. On classifie tous les comportements asymptotiques possibles pour la solution quand elle s’approche de la singularité. Ensuite, on décrit les profils à l’explosion correspondant à ces comportements asymptotiques. Dans une troisième étape, on construit pour cette équation une solution qui explose en temps fini en un seul point avec un profil d’explosion prescrit. Cette construction s’appuie sur la réduction en dimension finie du problème et sur l’utilisation du théorème de l’indice pour conclure. Dans la partie numérique, on se propose de développer des méthodes afin de donner des réponses numériques à la question du profil à l’explosion pour certaines équations paraboliques, y compris le modèle de Ginzburg-Landau. Nous proposons deux méthodes. La première est l’algorithme de remise à l’échelle (rescaling) proposé par Bergeret Kohn en 1988, appliqué à des équations paraboliques satisfaisant une propriété d’invariance d’échelle. Cette propriété nous permet de faire un zoom de la solution quand elle est proche de la singularité, tout en gardant la même équation. Le principal avantage de cette méthode est sa capacité à donner une très bonne approximation numérique qui nous permet d’atteindre numériquement le profil à l’explosion. Le profil à l’explosion que l’on obtient numériquement est en bon accord avec le profil théorique. De plus, en considérant une équation de la chaleur non linéaire critique avec un terme de gradient non linéaire, avec peu de résultats théoriques, nous énonçons une conjecture sur le profil à l’explosion, grâce à nos simulations numériques. La deuxième méthode numérique s’appuie aussi sur un raffinement de maillage, dans l’esprit de l’algorithme de remise à l’échelle de Berger et Kohn. Cette méthode est applicable à une plus grande classe d’équations dont les solutions explosent en temps fini sans la propriété d’invariance d’échelle. / We are interested in finite-time blow-up phenomena arising in the study of Nonlinear Parabolic Partial Differential Equations, in particular in the blow-up profile, under the theoretical and numerical aspects. In the theoretical direction, we are interested in particular in finite-time blow-up phenomena for some class of strongly perturbed semilinear heat equations with Sobolev subcritical power nonlinearity. Working in the frameworkof similarity variables, we first derive a Lyapunov functional in similarity variables which is a crucial step to derive the blow-up rate of the solution. In a second step, we are interested in the structure of the solution near blow-uptime and point. We classify all possible asymptotic behaviors of the solution when it approaches to the singularity.Then we describe blow-up profiles corresponding to these asymptotic behaviors. In a third step, we construct for this equation a solution which blows up in finite time at only one blow-up point with a prescribed blow-up profile. The construction relies on the reduction of the problem to a finite dimensional one and the use of index theory to conclude. In the numerical direction, we intend to develop methods in order to give numerical answers to the question of the blow-up profile for some parabolic equations including the Ginzburg-Landau model. We propose two methods.The first one is the rescaling algorithm proposed by Berger and Kohn in 1988 applied to parabolic equations which are invariant under a scaling transformation. This scaling property allows us to make a zoom of the solution when it is close to the singularity, still keeping the same equation. The main advantage of this method is its ability to give a very good numerical approximation allowing to attain the numerical blow-up profile. The blow-up profile we obtain numerically is in good accordance with the theoretical one. Moreover, by applying the method to a critical nonlinear heat equation with a nonlinear gradient term, where almost nothing is known, we give a conjecture for its blow-up profile thanks to our numerical simulations. The second one is a new mesh-refinement method inspired by the rescaling algorithm of Berger and Kohn, which is applicable to more general equations, in particular those with no scaling invariance.

Abstract Not Provided. / Thesis / Bachelor of Science (BSc)

Master of Science / Department of Computing and Information Sciences / Daniel A. Andresen / Present times most of the applications allow users to set profiles and activate them manually. Also, there is no such application to alert the calling person automatically whenever we are busy in a meeting. Auto Profile is an application which addresses these issues. Using this application, a custom profile can be created and activated. The user of this application can create any number of custom profiles with their own timings depending on their requirements from the available set of ringer modes such as vibration, silent, normal modes. All these settings will be changed automatically when they define a profile and set it as active. Every profile can be scheduled according to their wish. Also, users can define how often and how long they would like to activate the selected profile. Auto Profile Switcher will recognize their profile based on the current time and it will apply the right profile at the right time according to the given settings. For instance, they can save a home profile and a work profile, and the application will automatically switch from one to other automatically, without any user action. It's also possible for the users to apply manually saved profile wherever they are. Also, the application allows users not to bother about the calls from important persons when they are in some important meeting or busy. Automatically profile is activated as scheduled and sends a respective alert to the caller according to the profile activated. Auto Profile application is user-friendly and easy to use. The proposed application is developed for the android platform, which is used to create custom profiles and make sure that the tasks are executed as scheduled. This relieves users as they do not need to bother about the calls when they are in some important meeting or busy. As this is a mobile application users can easily organize their action wherever they are with ease.

Made available in DSpace on 2015-03-05T19:13:43Z (GMT). No. of bitstreams: 0 Previous issue date: 17 / Nenhuma / Este estudo foi desenvolvido com o objetivo de conhecer o perfil pessoal, acadêmico e profissional de egressos dos cursos de ciências contábeis de Instituições de Ensino Superior do Rio Grande do Sul. Para tal foi conduzida uma pesquisa de campo mediante encaminhamento de questionário por meio eletrônico, respondido por uma amostra de 448 egressos, sendo 242 do sexo masculino e 206 do sexo feminino, que fizeram seus registros profissionais no Conselho Regional de Contabilidade do Rio Grande do Sul no período compreendido entre 1996 e 2005. Como principais resultados podem se destacados: a) a maioria optou pelo curso por vocação e por representar melhores oportunidades de emprego; b) um número razoável de egressos está engajado num processo de educação continuada, o que lhes permite manter-se atualizados e oferecer serviço de qualidade aos usuários; c) a maior parte se dedica à prestação de serviços contábeis na condição de empregados, merecendo destaque a atuação na área de controladoria, revelando uma mudanç / This study aims for a better understanding of the personal, academic and professional profile of egress students from Higher Education Institutions of Rio Grande do Sul. A field research was carried out through a survey sent by e-mail to a sample of 448 professionals, 242 males and 206 females certified by the Regional Council of Accountancy of Rio Grande do Sul between 1996 and 2005. The main outcomes indicate that: a) the majority chose this professional based on vocation and also on the fact that it represents better job opportunities; b) a considerable number are engaged in some kind of continued educational process, in order to update and improve the quality of services; c) a great number dedicate to accounting services as employees, mainly as controllers, which points to a change in the professional profile, as it tends to approach management; d) there is a good level of satisfaction regarding profession and salary, bearing in mind the variation of 7 to 15 years in the respondents’ working time experien

This survey introduces the analysis of parents’ help impact on pupils’ choice of educational profiles, the theoretical and practical aspects such as the aims and objectives, the notion of the profiled learning; the analysis of documents, regulating the profiled learning, careers counseling and career education. One of the major tasks was to define the parents’ influence on efficiency in choosing the profiles of learning. Several methods were used in the survey: the analysis of scientific literature, the questionnaire for the pupils of 11th -12th grades, conversations, the analysis of mathematical-statistical data performed by computer programme SPPS 10.0 for Windows. The survey was performed in January-March 2006 where 430 respondents from 11-12 grades, their parents and class-mistresses took part. The analysis of the documents regulating the profiled learning shows that the essence of such learning is to differentiate teaching according to pupils’ ambitions, abilities, capabilities, gifts etc. giving them possibilities to choose certain subjects and levels associated with their chosen educational direction. The profiled learning, which was introduced on 1st September 2000, gives possibility to satisfy pupils’ interests,’ likings and also to learn what they prefer or what they have knowingly chosen according to their career interests. Parents have the right to choose a certain educational direction, which is closest to their... [to full text]

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Dissertation submitted to the Faculty of Health in partial compliance with the requirements for the Masters Degree in Technology: Chiropractic, at the Durban University Of Technology, 2008. / Objectives: To determine a profile of soccer injuries prevalent in amateur Indoor and Outdoor soccer players in the greater Durban areas. Methods: This study used the Outdoor Supersport corporate league and the Kwa-Zulu Natal (KZN) Indoor soccer league. A total of 103 out of a possible 147 players participated in the study which included 41 Outdoor and 62 Indoor players. The Indoor soccer players were contacted to complete the questionnaire at their match days at the Gale street Indoor soccer arena and the Outdoor players were contacted during their training sessions and/or match days. The researcher was present to answer any questions posed by the participants. In the case of participants having difficulty in understanding English, a bilingual Zulu translator accompanied the researcher in every interaction with the participants. Results: Out of a total of 103 participants, the foot/ankle (62.1%) was the most frequently injured site. This was followed closely by the knee (55.3%). The rest of the sites in descending order were wrist, back, head, elbow, shoulder, chest, genital and abdomen. All participants reported a first injury, 69 participants reported a second injury and 27 participants reported a third injury. Outdoor soccer players reported the knee as being the most affected area, while Indoor soccer players injured the foot/ankle frequently. Furthermore, age was stated as a significant positive correlation when compared with number of sessions missed, meaning the older the participants, the more sessions they missed. The findings suggest that the use of protective equipment can decrease injury rates due to the use of ankle guards decreasing missed sessions. Conclusion: The profile of soccer injuries in selected amateur league Indoor and Outdoor soccer players in the greater Durban area has been described in this study. In terms of number of injuries, there seems to be no significant differences iv between Indoor and Outdoor soccer players. With regard to site of injuries, the lower limb was affected more than any other body part. The Outdoor players showed more knee injuries than the Indoor players who showed higher incidences of foot/ankle injuries.

Thesis (MSc)--Stellenbosch University, 2015. / ENGLISH ABSTRACT: Cuticular hydrocarbon (CHC) profiles of insects play roles in behavioural interactions within and between species, encompassing species-, colony- and mate-recognition. CHCs are largely genetically determined and are thus unique to each species, making them useful in chemotaxonomy. However, species exhibit intra-species variation in their CHC profile which can be the result of both intra-species genetic variation as well as environmental influences such as habitat effects, colony effects, diet, host switching, as well as adsorption of CHCs from other insects. Studies have found that the CHC profiles of a specific insect species will often exhibit variations between regions as well as the species of host the insect is associated with. Therefore, an ideal system to investigate the effects of genetic population structure and environment on the CHC profiles of insects is within the fig – fig wasp mutualism. Fig species occur in a wide variety of habitats and host a diverse complement of fig wasp species. We were therefore offered the opportunity to investigate a wide range of potential influences on fig wasp CHC profiles ranging from environmental to genetic effects. Firstly, through GC-MS we found that the CHC profiles of the fig wasps investigated are both species-specific and species-group-specific, with the species Elisabethiella glumosae, Elisabethiella stuckenbergi and Ceratosolen capensis, and two Otitesella species-groups (the Uluzi and Sesqui species-groups) separating out significantly. Consensus phylogenies (based on COI, Cytb and EF-1α) showed that within the galling fig wasp genus Otitesella there were multiple genetic lineages within a species-group which corresponds to species-level genetic variation, and that each genetic lineage was confined to a single host fig species. The CHC profiles reflected the genetic relationships between the two species-groups, and the CHC profiles within a species group could be differentiated by genetic lineage/host species. This indicated that although genetic lineage was mostly responsible for the observed variation in CHC profiles, factors associated with different host species also had an effect. Strong regional variation overriding both the influence of genetic lineage and factors associated with host species were observed in the CHC profiles of the fig wasps within a species-group. This regional variation in CHC profiles was also observed within two pollinating fig wasp species, Elisabethiella stuckenbergi and Ceratosolen capensis, which was not supported by population genetic data (COI and Cytb). In fact, very little genetic population structure was found within the pollinating species, even though the pollinators were collected across South Africa. The lack of genetic structure in pollinating fig wasps can be the result of high gene flow caused by the large dispersal capability of pollinating fig wasps. Our results indicated that fig wasp CHC profiles have the potential to be used in chemotaxonomy and are possibly used as species and mate-recognition cues by the fig wasps. Furthermore, we found both a regional and associated host species effect on the CHC profile. We suggest that the observed regional effect in this study could be attributed to habitat differences and differences in fig wasp community between regions. Moreover, the effect host species had on the CHC profiles may be as a result of dietary differences between galls in different host species. A possible consequence of the observed regional/host speciesassociated effect on fig wasp CHC profiles is that it could lead to pre-mating isolation within fig wasp species, which could ultimately result in speciation. In addition, our results indicated that the interpretation of the variation in the fig wasp CHC profile was dependent on the scale of the analysis: on a broad, inter-species-level scale, fig wasp CHC profiles were species-specific; on a finer intra-species scale, variation in CHC profiles occurred between fig wasps collected from different regions; and on a within-region scale, variation in CHC profiles within species-groups occurred between genetic lineages/host species. Future studies should look at the application of CHCs in chemotaxonomic studies on the fig wasp phylogeny, as well as the effect of fig wasp community composition on fig wasp CHCs. / AFRIKAANSE OPSOMMING: Kutikulêre koolwaterstof (KK) profiele van insekte speel rolle in die gedragsinteraksies binne sowel as tussen spesies, en behels die herkenning van spesieof kolonielidmaatskap asook potensiële maats. Kutikulêre koolwaterstowwe word meestal deur gene bepaal en is dus uniek vir elke spesie, wat dit handig maak vir chemotaksonomie. Spesies vertoon egter soms intraspesie variasie in hul KK profiele wat die gevolg kan wees van beide intraspesie genetiese variasie sowel as omgewingsinvloede soos habitat effekte, kolonie effekte, dieet, tussen-gasheer skuiwings, asook die adsorpsie van ander insekte se kutikulêre koolwaterstowwe. Studies het gevind dat die kutikulêre koolwaterstof profiele van ʼn spesifieke insek spesie op ʼn gereelde basis verskille vertoon tussen streke asook tussen die verskillende gasheer spesies waarmee die insek geassosieer is. Om hierdie redes is die vy – vy-wesp mutualisme ʼn ideale sisteem om die uitwerking van genetiese populasie struktuur en omgewing op die KK profiele van insekte te ondersoek. Vy spesies kom in ʼn wye verskeidenheid van habitatte voor en ondersteun ʼn diverse groep vy-wesp spesies. Dit het ons die geleentheid gebied om ʼn wye reeks moontlike invloede van vy-wesp KK profiele te ondersoek, van omgewings- tot genetiese invloede. Eerstens, deur die gebruik van GC-MS het ons gevind dat die KK profiele van die vy-wespe wat ondersoek was beide spesie-spesifiek en spesie-groep-spesifiek is, met die spesies Elisabethiella glumosae, Elisabethiella stuckenbergi en Ceratosolen capensis, asook twee Otitesella spesie-groepe (die Uluzi en Sesqui spesie-groepe) wat betekenisvol onderskei kon word. Konsensus filogenieë (gegrond op COI, Cytb en EF1-1α) het getoon dat daar in die gal-induserende vy-wesp genus Otitesella veelvuldige genetiese lyne binne die spesie-groepe voorgekom het ooreenstemmend met tussen-spesie genetiese variasie, en dat elke genetiese lyn beperk was tot ʼn enkele gasheer vy spesie. Die KK profiele het die genetiese verhoudings tussen die twee spesie-groepe weerspieël, en die KK profiele binne ʼn spesie-groep kon onderskei word op grond van hul genetiese lyn/gasheer spesie. Hierdie het getoon dat, alhoewel genetiese lyn meestal verantwoordelik was vir die waargeneemde variasie in KK profiele, faktore wat met verskille in gasheer spesies gepaard gaan ook ʼn effek gehad het. Sterk streeks-verbonde variasie wat beide die invloed van genetiese lyn, én faktore wat met verskille in gasheer spesie gepaard gaan, oortref het, was waargeneem in die KK profiele van die vy-wespe binne ʼn spesie-groep. Hierdie streeks-verbonde variasie in KK profiele was ook waargeneem in twee bestuiwende vy-wespe, Elisabethiella stuckenbergi en Ceratosolen capensis, ʼn resultaat wat nie ondersteun was deur die genetiese bevolkingsdata nie (COI en Cytb). In werklikheid was baie min genetiese bevolkings-struktuur opgespoor binne die bestuiwer spesies, selfs as was die bestuiwer spesies regoor Suid-Afrika ingesamel. Die tekort aan genetiese struktuur in die vy-wesp bestuiwers kan die gevolg wees van hoë geenvloei wat veroorsaak word deur die hoë verspreidingskapasiteit van bestuiwende vy-wespe. Die resultate toon aan dat vy-wesp KK profiele die potensiaal besit om in chemotaksonomie gebruik te word, en word moontlik deur vy-wespe gebruik as kenmerke vir die herkenning van spesie en potensiële maats. Verder was daar gevind dat daar beide ʼn streekseffek en ʼn effek geassosieer met gasheer spesie op KK profiele was. Ons stel voor dat die waargeneemde streekseffek in hierdie studie toegeskryf kan word aan verskille tussen habitatte asook streeksverbonde verskille tussen vy-wesp gemeenskappe. Boonop kan die effek wat gasheer spesie op die KK profiele gehad het ʼn gevolg wees van dieetverskille tussen die galle in verskillende gasheer spesies. ʼn Moontlike gevolg van die waargeneemde streeks/gasheer-spesie-geassosieerde effek op vy-wesp KK profiele is dat dit moontlik kon lei tot voor-paring-isolasie binne vy-wesp spesies, wat uiteindelik spesiasie kon veroorsaak het. Daarbenewens wys ons resultate dat die interpretasie van die variasie in die vy-wesp KK profiel was afhanklik van die skaal van die analise: op ʼn breë interspesie vlak was die vy-wesp KK profiele spesiespesifiek; op ʼn fyner intra-spesie vlak het variasie in KK profiele voorgekom tussen vy-wespe wat in verskillende streke ingesamel was; en op streeksvlak het variasie in die KK profiele binne spesie-groepe voorgekom tussen genetiese lyne/gasheer spesies. Toekomstige studies behoort te kyk na die toepassing van kutikulêre koolwaterstowwe in chemotaksonomiese studies van die vy-wesp filogenie, asook die effek wat vy-wesp gemeenskap samestelling het op vy-wesp kutikulêre koolwaterstowwe.

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