Lagrangian approximations and weak solutions of the Navier-Stokes equations

The motion of a viscous incompressible fluid flow in bounded domains with a smooth boundary can be described by the nonlinear Navier-Stokes equations. This description corresponds to the so-called Eulerian approach. We develop a new approximation method for the Navier-Stokes equations in both the stationary and the non-stationary case by a suitable coupling of the Eulerian and the Lagrangian representation of the flow, where the latter is defined by the trajectories of the particles of the fluid. The method leads to a sequence of uniquely determined approximate solutions with a high degree of regularity containing a convergent subsequence with limit function v such that v is a weak solution of the Navier-Stokes equations.

Restarting automata with restricted utilization of auxiliary symbols

The restarting automaton is a restricted model of computation that was introduced by Jancar et al. to model the so-called analysis by reduction, which is a technique used in linguistics to analyze sentences of natural languages. The most general models of restarting automata make use of auxiliary symbols in their rewrite operations, although this ability does not directly correspond to any aspect of the analysis by reduction. Here we put restrictions on the way in which restarting automata use auxiliary symbols, and we investigate the influence of these restrictions on their expressive power. In fact, we consider two types of restrictions. First, we consider the number of auxiliary symbols in the tape alphabet of a restarting automaton as a measure of its descriptional complexity. Secondly, we consider the number of occurrences of auxiliary symbols on the tape as a dynamic complexity measure. We establish some lower and upper bounds with respect to these complexity measures concerning the ability of restarting automata to recognize the (deterministic) context-free languages and some of their subclasses.

Die aeroelastische Stabilitätsanalyse – ein praxisnaher Ansatz zur intervalltheoretischen Betrachtung von Modellierungsunsicherheiten am Flugzeug

Die Untersuchung des dynamischen aeroelastischen Stabilitätsverhaltens von Flugzeugen erfordert sehr komplexe Rechenmodelle, welche die wesentlichen elastomechanischen und instationären aerodynamischen Eigenschaften der Konstruktion wiedergeben sollen. Bei der Modellbildung müssen einerseits Vereinfachungen und Idealisierungen im Rahmen der Anwendung der Finite Elemente Methode und der aerodynamischen Theorie vorgenommen werden, deren Auswirkungen auf das Simulationsergebnis zu bewerten sind. Andererseits können die strukturdynamischen Kenngrößen durch den Standschwingungsversuch identifiziert werden, wobei die Ergebnisse Messungenauigkeiten enthalten. Für eine robuste Flatteruntersuchung müssen die identifizierten Unwägbarkeiten in allen Prozessschritten über die Festlegung von unteren und oberen Schranken konservativ ermittelt werden, um für alle Flugzustände eine ausreichende Flatterstabilität sicherzustellen. Zu diesem Zweck wird in der vorliegenden Arbeit ein Rechenverfahren entwickelt, welches die klassische Flatteranalyse mit den Methoden der Fuzzy- und Intervallarithmetik verbindet. Dabei werden die Flatterbewegungsgleichungen als parameterabhängiges nichtlineares Eigenwertproblem formuliert. Die Änderung der komplexen Eigenlösung infolge eines veränderlichen Einflussparameters wird mit der Methode der numerischen Fortsetzung ausgehend von der nominalen Startlösung verfolgt. Ein modifizierter Newton-Iterations-Algorithmus kommt zur Anwendung. Als Ergebnis liegen die berechneten aeroelastischen Dämpfungs- und Frequenzverläufe in Abhängigkeit von der Fluggeschwindigkeit mit Unschärfebändern vor.

Gender and Space in Tehran

Abstract: This dissertation generally concentrates on the relationships between “gender” and “space” in the present time of urban life in capital city of Tehran. “Gender” as a changing social construct, differentiated within societies and through time, studied this time by investigation on “gender attitude” or “gender identity” means attitudes towards “gender” issues regarding Tehran residences. “Space” as a concept integrated from physical and social constituents investigated through focus on “spatial attitude” means attitudes towards using “living spaces” including private space of “house”, semi private semi public space of neighborhood and finally public spaces of the city. “Activities and practices” in space concentrated instead of “physical” space; this perspective to “space” discussed as the most justified implication of “space” in this debate regarding current situations in city of Tehran. Under a systematic approach, the interactions and interconnections between “gender” and “space” as two constituent variables of social organization investigated by focus on the different associations presented between different “gender identities” and their different “spatial identities”; in fact, “spatial identity” manifests “gender identity” and in opposite direction, “spatial identity” influences to construction of “gender identity”. The hypotheses of case study in Tehran defined as followed: • “Gender identity” is reflected on “spatial identity”. Various “gender identities” in Tehran present different perspectives of “space” or they identify “space” by different values. • As “gender identity” internalizes patriarchal oppression, it internalizes associated “spatial” oppression too. • Within the same social class, different “gender identities” related to men and women, present interconnected qualities, compared with “gender identities” related to men or women of different social classes. This situation could be found in the “spatial” perspectives of different groups of men and women too. • Following the upper hypotheses, “spatial” oppression differs among social classes of Tehran living in different parts of this city. This research undertook a qualitative study in Tehran by interviewing with different parents of both young daughter and son regarding their attitudes towards gender issues from one side and activities and behaviors of their children in different spaces from the other side. Results of case study indicated the parallel changes of parents’ attitudes towards “gender” and “spatial” issues; it means strong connection between “gender” and “space”. It revealed association of “equal” spatial attitudes with “open, neutral” gender attitudes, and also the association of “biased, unequal” spatial identities with “conservative patriarchal” gender identities. It was cleared too that this variable concept – gender space - changes by “sex”; mothers comparing fathers presented more equitable notions towards “gender spatial” issues. It changes too by “social class” and “educational level”, that means “gender spatial” identity getting more open equitable among more educated people of middle and upper classes. “Breadwinning status in the family” also presents its effect on the changes of “gender spatial” identity so participant breadwinners in the family expressed relatively more equitable notions comparing householders and housekeepers. And finally, “gender spatial” identity changes through “place” in the city and regarding South – North line of the city. The illustration of changes of “gender spatial” identity from “open” to “conservative” among society indicated not only vertical variation across social classes, furthermore the horizontal changing among each social class. These results also confirmed hypotheses while made precision on the third one regarding variable of sex. More investigations pointed to some inclusive spatial attitudes throughout society penetrated to different groups of “gender identities”, to “opens” as to “conservatives”, also to groups between them, by two opposite features; first kind, conservative biased spatial practices in favor of patriarchal gender relations and the second, progressive neutral actions in favor of equal gender relations. While the major reason for the inclusive conservative practices was referred to the social insecurity for women, the second neutral ones associated to more formal & safer spaces of the city. In conclusion, while both trends are associated deeply with the important issues of “sex” & “body” in patriarchal thoughts, still strong, they are the consequences of the transitional period of social change in macro level, and the challenges involved regarding interactions between social orders, between old system of patriarchy, the traditional biased “gender spatial” relations and the new one of equal relations. The case study drew an inhomogeneous illustration regarding gender spatial aspects of life in Tehran, the opposite groups of “open” and “conservative”, and the large group of “semi open semi conservative” between them. In macro perspective it presents contradicted social groups according their general life styles; they are the manifestations of challenging trends towards tradition and modernity in Iranian society. This illustration while presents unstable social situations, necessitates probing solutions for social integration; exploring the directions could make heterogeneous social groups close in the way they think and the form they live in spaces. Democratic approaches like participatory development planning might be helpful for the city in its way to more solidarity and sustainability regarding its social spatial – gender as well – development, in macro levels of social spatial planning and in micro levels of physical planning, in private space of house and in public spaces of the city.

3D Simultaneous Inversion for Seismic Structure and Local Hypocenters in Germany under Consideration of Seismic Anisotropy in the Upper Mantel

The main task of this work has been to investigate the effects of anisotropy onto the propagation of seismic waves along the Upper Mantle below Germany and adjacent areas. Refraction- and reflexion seismic experiments proved the existence of Upper Mantle anisotropy and its influence onto the propagation of Pn-waves. By the 3D tomographic investigations that have been done here for the crust and the upper mantle, considering the influence of anisotropy, a gap for the investigations in Europe has been closed. These investigations have been done with the SSH-Inversionprogram of Prof. Dr. M. Koch, which is able to compute simultaneously the seismic structure and hypocenters. For the investigation, a dataset has been available with recordings between the years 1975 to 2003 with a total of 60249 P- and 54212 S-phase records of 10028 seismic events. At the beginning, a precise analysis of the residuals (RES, the difference between calculated and observed arrivaltime) has been done which confirmed the existence of anisotropy for Pn-phases. The recognized sinusoidal distribution has been compensated by an extension of the SSH-program by an ellipse with a slow and rectangular fast axis with azimuth to correct the Pn-velocities. The azimuth of the fast axis has been fixed by the application of the simultaneous inversion at 25° - 27° with a variation of the velocities at +- 2.5 about an average value at 8 km/s. This new value differs from the old one at 35°, recognized in the initial residual analysis. This depends on the new computed hypocenters together with the structure. The application of the elliptical correction has resulted in a better fit of the vertical layered 1D-Model, compared to the results of preceding seismological experiments and 1D and 2D investigations. The optimal result of the 1D-inversion has been used as initial starting model for the 3D-inversions to compute the three dimensional picture of the seismic structure of the Crust and Upper Mantle. The simultaneous inversion has showed an optimization of the relocalization of the hypocenters and the reconstruction of the seismic structure in comparison to the geology and tectonic, as described by other investigations. The investigations for the seismic structure and the relocalization have been confirmed by several different tests. First, synthetic traveltime data are computed with an anisotropic variation and inverted with and without anisotropic correction. Further, tests with randomly disturbed hypocenters and traveltime data have been proceeded to verify the influence of the initial values onto the relocalization accuracy and onto the seismic structure and to test for a further improvement by the application of the anisotropic correction. Finally, the results of the work have been applied onto the Waldkirch earthquake in 2004 to compare the isotropic and the anisotropic relocalization with the initial optimal one to verify whether there is some improvement.

The Ri chicken breed and livelihoods in North Vietnam: characterization and prospects

For the last twenty years, the consumption of poultry meat has boomed in Vietnam as in the rest of the developing world. Capital-intensive production has grown rapidly to satisfy this demand. Based on a few numbers of genetically uniform strains, these systems threaten biodiversity. In Vietnam, both rural and urban households still keep indigenous chickens as part of a diversified livelihood portfolio. In line with the national in situ conservation strategy, this study approached the context of local poultry keeping in two rural and one suburban districts of Northern Vietnam. It aimed at understanding households’ willingness, constraints and opportunities for practice improvement, including breeds’ management. As the Ri chicken constitutes the large majority of backyard flocks, two particular objectives of this study are the morpho-biometric characterisation of phenotypic diversity among individuals classified as Ri by farmers and an assessment of their productive potential. Chicken was found to hold a different place in livelihoods of the three districts with consequences on the management of genetic resources. The most favourable conditions for improvement of the Ri breed was found in the rural district of Luong-Son, due to market integration. In the more remote district of Ky-Son, living standards were lower and much would be gained from Ri conservation. Ri breed was the most threatened in the suburban Gia-Lam district, where poultry was a minor side-activity, lacking incentive for genetic management. From motives and constraints, tracks about breeding goals are suggested. Further considerations about conservation, improvement, market integration and livelihoods are proposed.

Landschaftsperspektiven der Nutzer

Die vorliegende Arbeit macht Vorschläge zur Einbindung der Öffentlichkeit in Planungsbestrebungen vor Ort, wobei vor allem Methoden empirischer Sozialforschung und deren Anwendbarkeit in landschaftsplanerischen Vorhaben näher betrachtet werden. Hiermit finden insbesondere Wertezuweisungen durch die Bürger stärkere Berücksichtigung. Es wird angenommen, dass, um eine zukunftsweisende Landschaftsplanung zu etablieren, Planer und Fachleute lernen müssen, wie die lokale Bevölkerung ihre Umwelt wahrnimmt und empfindet und welche Ideen sie für die zukünftige Entwicklung der Landschaft haben. Als empirische Grundlage werden Fallstudien aus Bad Soden am Taunus, Hamburg-Wilhelmsburg und Kassel-Rothenditmold präsentiert und verglichen. Rothenditmold und Wilhelmsburg zeichnen sich durch hohe Einwohneranteile mit Migrationshintergrund aus, weisen relativ hohe Arbeitslosenquoten auf und sind als soziale Brennpunkte bekannt – zumindest für Außenstehende. Beide Stadtteile versuchen ihr Image aufzuwerten. In Wilhelmsburg wird dieses Vorhaben in die großräumigen Veränderungen eingebunden, die von verschiedenen Hamburger Großprojekten ausstrahlen. In Rothenditmold ist vor allem Eigeninitiative durch den Stadtteil selbst gefragt. In Bad Soden gibt es ebenfalls viele Menschen mit ausländischen Wurzeln. Sie gehören allerdings mehrheitlich der gesellschaftlichen Mittel- und Oberschicht an. Bad Soden verfügt über ein insgesamt positives Image, das aller kulturellen Veränderungen zum Trotz beibehalten werden soll. Entsprechende Initiativen gehen hier ebenfalls von der Gemeinde selbst aus. An allen Standorten hat es drastische Landschaftsveränderungen und speziell deren Erscheinung gegeben. Bad Soden und Wilhelmsburg haben dabei Teile ihres vormals ländlichen Charakters zu bewahren, während in Rothenditmold vor allem Zeugnisse aus der Zeit der Industrialisierung erhalten sind und den Ort prägen. Die Landschaften haben jeweils ihre einzigartigen Erscheinungen. Zumindest Teile der Landschaften ermöglichen eine Identifikation, sind attraktiv und liefern gute Erholungsmöglichkeiten. Um diese Qualitäten zu bewahren, müssen sie entsprechend gepflegt und weiter entwickelt werden. Dazu sind die Interessen und Wünsche der Bewohner zu ermitteln und in Planungen einzuarbeiten. Die Arbeit strebt einen Beitrag zur Lebensraumentwicklung für und mit Menschen an, die mittels ausgewählter Methoden der empirischen Sozialforschung eingebunden werden. Dabei wird gezeigt, dass die vorgestellten und erprobten Methoden sinnvoll in Projekte der Landschaftsplanung eingebunden werden können. Mit ihnen können ergänzende Erkenntnisse zum jeweiligen Landschaftsraum gewonnen werden, da sie helfen, die kollektive Wahrnehmung der Landschaft durch die Bevölkerung zu erfassen, um sie anschließend in Planungsentwürfe einbinden zu können. Mit der Untersuchung wird in den drei vorgestellten Fallstudien exemplarisch erfasst, welche Elemente der Landschaft für die Bewohner von besonderer Bedeutung sind. Darüber hinaus lernen Planer, welche Methoden zur Ermittlung emotionaler Landschaftswerte verfügbar sind und auf welcher Ebene der Landschaftsplanung sowie bei welchen Zielgruppen sie eingesetzt werden können. Durch die Verknüpfung landschaftsplanerischer Erfassungsmethoden mit Methoden der empirischen Sozialwissenschaft (Fragebogen, Interviews, „Spaziergangsinterviews“, gemeinsame Erarbeitung von Projekten bis zur Umsetzung) sowie der Möglichkeit zur Rückkoppelung landschaftsplaneri-scher Entwürfe mit der Bevölkerung wird eine Optimierung dieser Entwürfe sowohl im Sinne der Planer als auch im Sinne der Bürger erreicht. Zusätzlich wird die Wahrnehmung teilnehmender Bevölkerung für ihre Umwelt geschärft, da sie aufgefordert wird, sich mit ihrer Lebensumgebung bewusst auseinander zu setzen. Die Ergebnisse dieser Untersuchung sind Beitrag und Beleg zu der Annahme, dass ergänzende Methoden in der Landschaftsplanung zur stärkeren Interessenberücksichtigung der von Planung betroffenen Menschen benötigt werden. Zudem zeigen die Studien auf, wie man dem planungsethischen Anspruch, die Öffentlichkeit einzubeziehen, näher kommt. Resultat sind eine bessere Bewertung und Akzeptanz der Planungen und das nicht nur aus landschaftsplanerisch-fachlicher Sicht. Landschaftsplaner sollten ein Interesse daran haben, dass ihre Entwürfe ernst genommen und akzeptiert werden. Das schaffen sie, wenn sie der Bevölkerung nicht etwas aufplanen, sondern ihnen entsprechende Einflussmöglichkeiten bieten und Landschaft mit ihnen gemeinsam entwickeln.

Resource use pattern and agroecosystem functioning in Rawanganga micro-watershed in Garhwal Himalaya, India

Agro-ecological resource use pattern in a traditional hill agricultural watershed in Garhwal Himalaya was analysed along an altitudinal transect. Thirty one food crops were found, although only 0.5% agriculture land is under irrigation in the area. Fifteen different tree species within agroforestry systems were located and their density varied from 30-90 trees/ha. Grain yield, fodder from agroforest trees and crop residue were observed to be highest between 1200 and 1600 m a.s.l. Also the annual energy input- output ratio per hectare was highest between 1200 and 1600 m a.s.l. (1.46). This higher input- output ratio between 1200-1600 m a.s.l. was attributed to the fact that green fodder, obtained from agroforestry trees, was considered as farm produce. The energy budget across altitudinal zones revealed 95% contribution of the farmyard manure and the maximum output was in terms of either crop residue (35%) or fodder (55%) from the agroforestry component. Presently on average 23%, 29% and 41% cattle were dependent on stall feeding in villages located at higher, lower and middle altitudes respectively. Similarly, fuel wood consumption was greatly influenced by altitude and family size. The efficiency and sustainability of the hill agroecosystem can be restored by strengthening of the agroforestry component. The approach will be appreciated by the local communities and will readily find their acceptance and can ensure their effective participation in the programme.