77 research outputs found
On a generalization of the Constantin–Lax–Majda equation
We present evidence on the global existence of solutions of De Gregorio's equation, based on numerical computation and a mathematical criterion analogous to the Beale-Kato-Majda theorem. Its meaning in the context of a generalized Constantin-Lax-Majda equation will be discussed. We then argue that a convection term, if set in a proper form and in a proper magnitude, can deplete solutions of blow-up
Fasciite nécrosante : Agression due aux bactéries mangeuses de chair.
La fasciite nécrosante (FN) est une affection rare de la peau et des tissus sous-cutanés profonds, Caractérisée par une infection profonde rapidement progressive liée à une thrombose des vaisseaux cheminant dans les fascias.
Il s’agit d’une urgence médicochirurgicale mettant souvent en jeu le pronostic vital, d’étiologie et de présentation disparates, dont la morbidité est majeure et dont la mortalité est importante, dépendant essentiellement de la précocité de la chirurgie.
L’affection peut toucher n’importe quelle partie du corps, en particulier les membres inferieurs souvent concernés.
Flore pluri-microbienne dans plus de la moitié des cas, flore mixte anaérobie dans la gangrène de Fournier et Clostridium dans la gangrène gazeuse, cependant le staphylocoque demeure prédominant.
Leur comportement vis à vis des antibiotiques varie du phénotype sauvage au phénotype multirésistant.
L’imagerie n’a qu’un rôle secondaire et elle ne doit pas retarder la prise en charge des FN profondes, dont le pronostic vital dépend de la précocité du traitement.
Une prise en charge médicale et chirurgicale, éventuellement associée à une oxygénothérapie hyperbare, garantissent la survie, elles n'évitent pas toujours des délabrements tissulaires et musculaires importants, responsables de séquelles fonctionnelles et esthétiques ayant un impact psychologique majeur
Dealing the Majda Koren’s literature works at the classroom teaching in the primary school
Children’s literature comprises a complex of belles-lettres texts, written by adult authors who establish a dialogue with a child in this way. The author's self-understanding or how the adults see the dialogue with the child is seen in literary works and autopoetics. The latter is about the author's explanation of their own view on young adult literature creation. Children’s literature is very diverse, considering the perspective from which the author presents the textual reality.
In my thesis I researched the prevailing perspectives in literary works of Majda Koren, and how the pupil's feedback differs based on different perspectives.
The introductory part is focused on presenting the Slovene children’s literature writer Majda Koren and her literary work.
In the central part various perspectives that are characterized in young adult literature are presented, and Koren's works are analyzed according to the prevailing perspective. I figured out that the perspective of reconciliation is prevailent in her works, which means that the author identifies herself with the child's soul and mostly writes about the troubles of heroes that prevent the children’s world to be like they want it to be.
In the final part lesson plans for four literary works of Majda Koren are written. I carried out the lessons in the 5th grade of primary school. The students’ feedback to the discussed works was positive, but it differed according to the perspective. They liked works with the realistic perspective and a hero they could identify with the most.
With every discussed literary work pupils were also recreating literary works. The easiest for them was to write fantasy texts – about themselves as the allmighty hero who solves all the problems. Somewhat harder for them was to describe real events that they experienced, because they could not use their imagination in this case.
In the end I did an interview with Majda Koren
A sparse resolution of the DiPerna-Majda gap problem for D Euler equations
A central question which originates in the celebrated work in the 1980\u27s of DiPerna and Majda asks what is the optimal decay such that uniform rates of the vorticity maximal functions guarantee strong convergence without concentrations of approximate solutions to energy-conserving weak solutions of the D Euler equations with vortex sheet initial data. A famous result of Majda (1993) shows , as a sufficient condition for the lack of concentrations, while the expected gap remains as an open question. In this paper we resolve the DiPerna-Majda D gap problem: In striking contrast to the well-known case of distinguished sign vortex sheets, we identify as the optimal regularity for mixed sign vortex sheets that rules out concentrations.
For the proof, we propose a novel method to construct explicitly solutions with mixed sign to the D Euler equations in such a way that wild behaviour creates within the relevant geometry of \emph{sparse} cubes (i.e., these cubes are not necessarily pairwise disjoint, but their possible overlappings can be controlled in a sharp fashion). Such a strategy is inspired by the recent work of the first author and Milman \cite{DM} where strong connections between energy conservation and sparseness are established.24 page
On global solutions for the Constantin-Lax-Majda equation with a generalized viscosity term
We consider a one-dimensional model for the three-dimensional vorticity equation of incompressible and viscous fluids. This model is obtained by adding a generalized viscous diffusion term to the Constantin-Lax-Majda equation, which was introduced as a model for the 3-D Euler equation[2]. It is shown in [6] that the solution of the model equation blows up in finite time for sufficiently small viscosity, however large diffusion term it may has. In the present article, we discuss the existence of a unique global solution for large viscosity.We investigate convergence of the solution and show that the solution blows up in finite time for sufficiently small viscosity coefficient regardless of the order of derivative of the viscosity term.http://www.iop.org
What is reading literature today? (questionnaire)
The author talks about his reading fascinations. He talks about the pleasure of read-
ing Sienkiewicz’s novels and Pan Tadeusz, about writings by authors from the former
Yugoslavia, and finally – about the travel literature.Publikacja dofinansowana przez Wydział Filologiczny Uniwersytetu Łódzkieg
Assessing late-time singular behaviour in symmetry-plane models of 3D Euler flow
Motivated by work on stagnation-point type exact solutions of the 3D Euler fluid equations by Gibbon [Gibbon et. al. Phys. D, 132, 497, (1999)] and the subsequent demonstration of finite-time blowup by Constantin [Constantin, Math. Res. Notices, 9, 455, (2000)] we introduce a one-parameter family of models of the 3D Euler equations on a 2D symmetry plane. These models provide a collection of blow-up scenarios which admit analytical solutions and are computationally inexpensive in comparison to the full 3D Euler equations. We take advantage of these features to examine the efficacy of novel methods which aid the assessment of finite-time blow-up in numerical simulations. The principal of these is the mapping to regular systems [Bustamante, Phys. D, 240, 1092, (2011)]; a bijective nonlinear mapping of time and the prognostic variables based on a Beale-Kato-Majda (BKM) type supremum norm regularity condition [Beale et. al. Commun. Math. Phys. 94, 61, (1984)]. We show a 3 order of magnitude increase of accuracy of the singularity time when employing the mapping with negligible additional computational expense. An investigation of the spectra of the primary field (vortex stretching rate) allows us to confirm a power law decrement of the analyticity-strip width with time in agreement with rigorous bounds bridging between the global spatial behaviour and BKM theorems [Bustamante & Brachet, Phys. Rev. E. 86, (2012)]
Some aspects of family and delinquency in works of Majda Pšunder
V magistrski nalogi smo proučili nekatere vidike družine in delinkvence v delih pedagoginje Majde Pšunder. Izhajali smo iz njene biografije, saj se je avtorica na svoji bogati akademski poti ukvarjala tudi s področjem družine in odklonskosti mladih. Za potrebe naloge smo izbrana dela, ki se tako ali drugače navezujejo na omenjeno tematiko, kronološko razvrstili in predstavili njihove pomembne vsebinske značilnosti, teoretična izhodišča in rezultate raziskav. Družina je primarna družbena skupina, ki z vzorom, postavljanjem mej, doslednostjo, komunikacijo in učenjem samostojnosti in svobode, otroka usmerja na pot življenja. Z odraščanjem in vključevanjem v vzgojno-izobraževalne institucije otroku ni več družina edini identifikacijski vzorec. Pojavijo se tudi drugi dejavniki, ki lahko vplivajo na otrokovo dojemanje sveta in odklonsko vedenje, ki se najpogosteje kaže v šoli. Šola je vzgojno-izobraževalna ustanova z izdelanim vzgojnim načrtom, ki v primeru otrokovega odklonskega vedenja poseže po alternativnih vzgojnih ukrepih in kasneje tudi po pravnih vzgojnih ukrepih. Za uspešen razvoj mladostnika in adolescenta je pomembno sodelovanje staršev in učiteljev.
Za potrebe magistrskega dela smo z avtorico opravili osebni individualni vodeni intervju, ker so nas zanimali njeni motivi za akademsko pot, za raziskovanje tega področja, njeni cilji in zadovoljstvo. Izvedli pa smo še intervjuje s sedmimi sodelavci prof. dr. Majde Pšunder.Master thesis studies and researches various aspects of family and delinquency in works written by teacher and educator Ms Majda Pšunder. Research originates in her biography as the author has dealt in depth with the aspect of family and youth delinquency in her abundant academic career. For the purposes of this master thesis her chosen works have been chronologically reordered and later on presented through their important content characteristics, theoretical basis and research results. Family is a primary unit which by setting examples and boundaries, consistency, communication and teaching about independence and freedom leads and directs a child through life. With growing up and being integrated in educational institutions family no longer presents a primary identification pattern to a child. Other factors interfere and effect child\u27s perspective of the world and delinquent behaviour which is most frequently seen at school. School is an educational institution with a ready-made educational plan and in case of a child\u27s delinquent behaviour it acts according to the alternative disciplinary measures and later on proper disciplinary measures. Consistent cooperation between parents and teachers is most important for a successful child\u27s and teenager\u27s development.
For the purposes of this master thesis personal individual interview with the author herself has been carried out as we were interested in motifs for her academic path as well as her interests in this specific field, personal goals and contentment. Interviews with seven other associates of professor Majda Pšunder PhD have been carried out
- …
