Un point d'aplatissement d'une courbe (réelle $C^\infty$ ou complexe holomorphe) de l'espace projectif (réel ou complexe) de dimension $n$ est un point de la courbe pour lequel l'hyperplan osculateur à un contact plus élevé qu'en un point ordinaire. Pour $n=2$, les points d'aplatissement sont communément appelés les points d'inflexions.\\ Dans la première partie de la thèse étudie les familles de courbes par rapport aux points d'aplatissement.\\ On introduit une notion de forme normale par rapport aux aplatissements des fibres d'une application $f:(\KM^n,0) \to (\KM^{n-1},0)$, avec $\KM=\RM$ ou $\KM=\CM$,\\ Ensuite, on commence la classification des germes d'applications (réels $C^\infty$ ou complexes holomorphes) $f:(\KM^n,0) \to (\KM^{n-1},0)$, avec $\KM=\RM$ ou $\KM=\CM$, par rapport aux points d'aplatissement des fibres de l'application. On introduit la notion de déformation verselle par rapport aux aplatissements, et on calcule ces déformations pour les fonctions de Morse de deux variables. Enfin, on définit ``les invariants fondamentaux de topologie projective'' d'un germe $f:(\KM^n,0) \to (\KM^{n-1},0)$ et on calcule ces invariants pour les éléments de la classification.\\ Dans une deuxième partie, on tente d'inclure la théorie des aplatissements des courbes en développant la théorie de propagation des fronts d'onde. par le biais d'un théorème de déformations verselles pour les applications legendriennes. On généralise des résultats de Kazarian sur les courbes spatiales au cas variétés de dimension quelconque. Notamment, on démontre un théorème sur la bifurcation des courbes paraboliques de certaines familles de surfaces dans l'espace projectif.

The Antarctic Circumpolar Current (ACC) is well known for its multiple bands with large meridional property gradients in the upper waters, each associated with a deep-reaching current core. A revised nineteen-year time series (1992?2011) of altimeter data from the CNES/CLS AVISO is analyzed to identify and trace the spatial distribution of ACC fronts. Specific contours of sea surface height (SSH) are selected within narrow continuous bands of relative maxima SSH slope in the Southwest Atlantic Ocean sector, where they closely follow the distribution of ACC fronts derived from inspection of concurrent high-resolution profile data at hydrographic stations. When applied to the full circumpolar belt, the frontal distribution derived from these new altimeter-based indicators also agrees well with the traces of current jets and in-situ dynamic height fields calculated from concurrent Argo profile data. The temporal variability of ACC fronts is analyzed in relation to dominant modes of atmospheric forcing variability in the Southern Ocean. All three ACC fronts have experienced large seasonal to decadal variability throughout the satellite altimetry era. The general seasonal tendency for each of these jets, with respect to long-term mean positions, is to be located farther to the south during the austral summer and to north in the winter. Circumpolar-mean annual frontal locations show a consistent linear trend of southward migration. However, the estimated decadal variability of the frontal distributions is highly localized, and due to selective response mechanisms to atmospheric variability. A persistent poleward drift of ACC fronts is observed in the Indian sector consistent with increasing sea surface temperature trends. In contrast, a vacillation in the meridional location of ACC fronts is observed in the Pacific sector in association to minor sea surface cooling trends. Therefore, unlike in the Indian sector, the regional Pacific Ocean response is significantly sensitive to dominant atmospheric forcing indices. Mesoscale eddies derived from instabilities at strong current cores are successfully identified with specific SSH gradient criteria. The new estimates of rings population in the Southern Ocean are tightly linked to interannual to decadal atmospheric variability. Increased number of mesoscale eddies correlate with positive SAM forcing about two years earlier, or negative ENSO forcing two to three months earlier. These cross-correlations might explain a prominent peak in rings abundance estimated during 2000 and 2001, and the short-lived maximum that appeared in 2010. There are no persistent trends in the estimated sea surface slope across Drake Passage, and therefore neither in the transport of the ACC. High cross-correlation between the abundance of mesoscale eddies and atmospheric forcing suggests that the overall ACC system is in an eddy-saturated state. However, Drake Passage positive sea level slope anomalies were two-year lagged with negative SAM forcing and with positive ENSO events. These regional responses are characteristic of eastward-propagating signals from a buoyancy-dominated Pacific sector of the Southern Ocean.

Les eaux modales Subantarctiques (SAMW) sont formées dans la profonde couche de mélange au nord du front Subantarctique (SAF) dans l'Océan Austral. Elles influencent le climat à des échelles décennales et inter-annuelles et jouent un rôle fondamental dans la ventilation de la thermocline de l'Océan Austral. Nous étudions la formation des SAMW en nous fondant sur les récents flotteurs profilants ARGO et sur les dériveurs de surface GDP. Ces jeux de données fournissent une très bonne couverture spatio-temporelle des processus à l'oeuvre dans les couches supérieures de l'Océan Austral. Depuis le lancement du programme international ARGO, le nombre de profils hydrographiques a augmenté de façon considérable dans l'Océan Austral. Une analyse de ces données a montré que les flux air-mer et les flux d'Ekman sont les forçages dominants dans la formation des SAMW. Nous avons trouvé une transition rapide, autour de 70°E, des couches de mélange peu profondes en amont vers des couches de mélange très profondes en aval. Cette transition est associée à un changement de signe de la diffusion tourbillonnaire horizontale dans les couches de surface, et à l'extension méridionale de l'ACC lorsqu'il passe autour du plateau de Kerguelen. Ces effets sont directement liés à la bathymétrie et laissent place à une région de formation des SAMW au Sud-Ouest de l'Australie.<br /><br />La formation des SAMW est intimement liée à la dynamique océanique Australe et à la position des principaux fronts polaires. Une deuxième étude concerne la circulation de l'ACC et la variabilité frontale. Dans cette étude, nous avons tiré parti de la complémentarité des données in situ et altimétriques afin de suivre l'évolution des deux principaux fronts de l'ACC pendant la période 1993-2005. Nous avons comparé leurs mouvements avec les deux principaux modes de variabilité atmosphérique de l'Hémisphère Sud, le mode annulaire Austral (SAM) et l'Oscillation Australe El-Niño (ENSO). La position moyenne des fronts est déterminée avant tout par les fonds océaniques. Cependant, nous avons trouvé que dans les régions à fond plat, les fronts forment de grands méandres dus à l'activité tourbillonnaire et aux forçages atmosphériques.<br /><br />En parallèle, nous avons développé une nouvelle estimation de la distribution circumpolaire de la diffusion dans l'Océan Austral. La diffusion n'a presque jamais été étudiée à partir de données in situ dans cet océan. Nous avons calculé une estimation du coefficient de diffusion tourbillonnaire à partir d'une analyse statistique de dix années de trajectoires de dériveurs de surface. Nous avons cartographié ce coefficient dans l'Océan Austral, puis nous l'avons paramétré à partir de données altimétriques pour pouvoir en étudier l'évolution inter-annuelle et en faciliter l'utilisation dans le futur. Cette étude montre que l'Océan Austral est fortement diffusif au nord de l'ACC, et particulièrement près des courants de bord Ouest, c'est à dire dans la Rétroflexion des Aiguilles, dans la région du plateau de Campbell, et dans le courant de Brésil-Malouines. <br /><br />Ces résultats nous ont menés à une analyse circumpolaire de la formation des SAMW, et à une meilleure conception du lien entre la dynamique océanique Australe et la formation des SAMW. La croissance constante des données hydrologiques du programme ARGO dans l'Océan Austral nous a également permis de mieux représenter la répartition des régions de formation des SAMW. Nous avons trouvé que la diffusion tourbillonnaire joue un rôle majeur dans les budgets de chaleur locaux. Au Sud des courants de bord Ouest, et au nord du SAF, la diffusion tourbillonnaire apporte de la chaleur, équilibrant et même dominant les refroidissements hivernaux dus aux flux d'Ekman et aux flux air-mer. Elle réduit en particulier la déstabilisation de la couche de mélange au nord du SAF dans l'Ouest du bassin Indien, en aval de la Rétroflexion des Aiguilles, et dans l'Ouest du bassin Pacifique, en aval du Plateau de Campbell.

The objective of this study was to determine if fronts sustained up to three days will result in an aggregation of kingfish due to the anticipated accumulation of forage, increasing fishing success at these locations. Automated algorithms to detect frontal features in satellite-derived sea surface temperature, chlorophyll concentration, water clarity, and fluorescence images were successfully adapted for the coastal waters off west-central Florida. The surface ocean fronts were used to study the linkages between environmental conditions and recreational catch statistics of king mackerel (Scomberomorus cavalla) during 19 seasonal tournaments held in April to May and October to November of 2004 and 2005. The local winds estimated from a USF Coastal Ocean Monitoring and Prediction System observing station were analyzed with the frontal data to examine factors that influence oceanic frontal formation and stability. The front detection algorithms were also applied to high-r esolution bathymetry data which serves as a new technique for analyzing bottom topography. The spatial relationships between catch data collected through 415 angler interviews, frontal boundaries and stability, bathymetric gradients, bottom structure, and baitfish presence were identified using ESRI ArcGIS.Fishing success and fishing effort were highly variable regarding the distance of fishing activity to the nearest front. This was attributed to non-persistent winds. Intermediate water clarity (0.7 to 1.0 mW cm-2 microm-1 sr-1), the presence of baitfish, and the side of the front with relatively less chlorophyll showed the greatest influence on the king mackerel catch rates. Fishing success was found to be significantly higher at fishing locations where baitfish were reported present compared to where they were not reported. Concurrent with the 2005 harmful algal bloom event, a significant decrease in king mackerel catch occurred in the fall of 2005 (208 fish) compared to fall 20 04 (818) and spring 2005 (538). Additionally, fishing locations with baitfish present were observed about 15% less often during the fall of 2005 than the preceding seasons. From this, a model can be developed to diagnose the environmental conditions that can be used by resource managers to better understand variations in catch, which result from naturally occurring phenomena or man-induced overfishing.

Climatology tries to codense the many aspects of the weather during a long period into a few significant figures. The first approach is usually the calculation of mean and extreme values for a particular element over a specified period. [...]

The location of fronts has a direct influence on both the physical and biological processes in the Southern Ocean. However, until recently fronts have been poorly resolved by available data and climate models. In this thesis we utilise a combination of high resolution satellite data, model output and ARGO data to improve our basic understanding of fronts. A method is derived whereby fronts are identified as local maxima in sea surface height gradients. In this way fronts are defined locally as jets, rather than continuous-circumpolar water mass boundaries. A new climatology of Southern Ocean fronts is presented. This climatology reveals a new interpretation of the Subtropical Front. The currents associated with the Subtropical Front correspond to the western boundary current extensions from each basin, and we name these the Dynamical Subtropical Front. Previous studies have instead suggested that the Subtropical Front is a continuous feature across the Southern Ocean associated with the super gyre boundary. A comprehensive assessment of the relationship between front locations and wind stress is conducted. Firstly, the response of fronts to a southward shift in the westerly winds is tested using output from a 100 year climate change simulation on a high resolution coupled model. It is shown that there was no change in the location of fronts within the Antarctic Circumpolar Current as a result of a 1.3° southward shift in the westerly winds. Secondly, it is shown that the climatological position of the Subtropical Front is 5-10° north of the zero wind stress curl line, despite many studies assuming that the location of the Subtropical Front is determined by the zero wind stress curl. Finally, we show that the nutrient supply at ocean fronts is primarily due to horizontal advection and not upwelling. Nutrients from coastal regions are entrained into western boundary currents and advected into the Southern Ocean along the Dynamical Subtropical Front. / <p>At the time of the doctoral defense, the following paper was unpublished and had a status as follows: Paper 4: Submitted.</p>

Shark Bay is a large inverse estuary, located in Western Australia. It has a number of unique habitats that support important species. The dynamics of circulation in Shark Bay have an influence on the species that inhabit the region, on small, local scales as well as on large Bay-wide scales. Numerical modeling and field data were used to examine small-scale dynamics in relation to an important recreational fish, pink snapper (Pagrus auratus). Icthyoplankton surveys collected and recorded egg density in regions where snapper are found. A barotropic three-dimensional hydrodynamic model was coupled with a two-dimensional Lagrangian particle-tracking program to simulate the passive transport of eggs through regions where spawning is known to occur. Circulation modeling results indicated residual flows on small scales that served to retain the eggs in the region where they were originally spawned. Results corroborate genetic work on adult snapper, which found no evidence intermixing of populations in Shark Bay. The numerical model was then further refined to run in a baroclinic mode. Simulations of salinity and temperature gradients were used to recreate frontal systems in Shark Bay. Frontal regions divide the Bay into a northern and a southern section as well as separate it from the ocean. Application of an analytical method for calculating front locations was consistent with the observed results and indicated that the primary forces determining frontal locations in the Bay are tides and gravitational circulation. Winds are a secondary influence, and solar heating is minimal in influence

Thesis (M.S.)--Florida State University, 2004. / Advisor: Dr. James O'Brien, Florida State University, College of Arts and Sciences, Dept. of Meteorology. Title and description from dissertation home page (viewed Jan. 13, 2005). Includes bibliographical references.

Η παρούσα εργασία πραγματεύεται τις τεχνικογεωλογικές συνθήκες κατά τη διάνοιξη της σιδηροδρομικής σήραγγας Αιγίου, του τμήματος από τη Χ.Θ. 87+558,70 έως Χ.Θ.89+247,17. / This dissertation analyses the technical and geological conditions while opening up Aigion tunnel. It is a comparative regard of forecast section with the real conditions of opening up.

We use electric and magnetic field data from MMS spacecraft between 2016 and 2017 tostatistically investigate earthward propagating plasma flow bursts and field-aligned currents(FACs) inside the plasma sheet of the geomagnetic tail. We observe that the occurrence rateof flow burst peaks around the midnight region with decreasing trend towards Earth and theplasma sheet flanks. Further, we distinguish between long and short FACs. Long FACs laston average 6 sec and have a magnitude of 5-20 nA/m 2 . Short FACs last on average 10 timesshorter and have an magnitude of 10-50 nA/m 2 . Both, long and short FACs occur on averageone time per flow burst, on minimum 0 times and on maximum 4 times per flow burst. Intotal, 43 % of the observed FACs are located in a flow burst, 40 % before and 17 % right after aflow burst.