Second-order Stokes solutions for internal waves in three-layer density-stratified fluid

In this paper, internal waves in three-layer stratified fluid are investigated by using a perturbation method, and the second-order asymptotic solutions of the velocity potentials and the second-order Stokes solutions of the associated elevations of the interfacial waves are presented based on the small amplitude wave theory. As expected, the first-order solutions are consistent with ordinary linear theoretical results, and the second-order solutions describe the second-order modification on the linear theory and the interactions between the two interfacial waves. Both the first-order and second-order solutions derived depend on the depths and densities of the three-layer fluid. It is also noted that the solutions obtained from the present work include the theoretical results derived by Umeyama as special cases.

Second-order solutions for random interfacial waves under steady uniform currents

In the present research, the study of Song (2004) for random interfacial waves in two-layer fluid is extended to the case of fluids moving at different steady uniform speeds. The equations describing the random displacements of the density interface and the associated velocity potentials in two-layer fluid are solved to the second order, and the wave-wave interactions of the wave components and the interactions between the waves and currents are described. As expected, the extended solutions include those obtained by Song (2004) as one special case where the steady uniform currents of the two fluids are taken as zero, and the solutions reduce to those derived by Sharma and Dean (1979) for random surface waves if the density of the upper fluid and the current of the lower fluid are both taken as zero.

Representation of microscale ocean wavenumber spectrum correct to the second order

In this paper, the analytical representations of four wave source functions in high-frequency spectrum range are given on the basis of ocean wave theory and dimensional analysis, and the perturbation method is used to solve the governing equations of ocean wave high-frequency spectrum on the basis of the temporally stationary and locally homogeneous scale relations of microscale wave. The microscale ocean wavenumber spectrum correct to the second order has an explicit structure, its first order part represents the equilibrium between different source functions, and its second order part represents the contribution of microscale wave propagation.

Statistical distribution of depth-integrated local horizontal momentum for second-order random ocean waves in finite water depth

Based on the second-order random wave solutions of water wave equations in finite water depth, statistical distributions of the depth- integrated local horizontal momentum components are derived by use of the characteristic function expansion method. The parameters involved in the distributions can be all determined by the water depth and the wave-number spectrum of ocean waves. As an illustrative example, a fully developed wind-generated sea is considered and the parameters are calculated for typical wind speeds and water depths by means of the Donelan and Pierson spectrum. The effects of nonlinearity and water depth on the distributions are also investigated.

Statistical distribution of wave-surface elevation for second-order random directional ocean waves in finite water depth

Based on the second-order random wave solutions of water wave equations in finite water depth, a statistical distribution of the wave-surface elevation is derived by using the characteristic function expansion method. It is found that the distribution, after normalization of the wave-surface elevation, depends only on two parameters. One parameter describes the small mean bias of the surface produced by the second-order wave-wave interactions. Another one is approximately proportional to the skewness of the distribution. Both of these two parameters can be determined by the water depth and the wave-number spectrum of ocean waves. As an illustrative example, we consider a fully developed wind-generated sea and the parameters are calculated for various wind speeds and water depths by using Donelan and Pierson spectrum. It is also found that, for deep water, the dimensionless distribution reduces to the third-order Gram-Charlier series obtained by Longuet-Higgins [J. Fluid Mech. 17 (1963) 459]. The newly proposed distribution is compared with the data of Bitner [Appl. Ocean Res. 2 (1980) 63], Gaussian distribution and the fourth-order Gram-Charlier series, and found our distribution gives a more reasonable fit to the data. (C) 2002 Elsevier Science B.V. All rights reserved.

Second-order solutions for random interfacial waves in N-layer density-stratified fluid with steady uniform currents

In the present paper, the random inter facial waves in N-layer density-stratified fluids moving at different steady uniform speeds are researched by using an expansion technique, and the second-order a symptotic solutions of the random displacements of the density interfaces and the associated velocity potentials in N-layer fluid are presented based on the small amplitude wave theory. The obtained results indicate that the wave-wave second-order nonlinear interactions of the wave components and the second-order nonlinear interactions between the waves and currents are described. As expected, the solutions include those derived by Chen (2006) as a special case where the steady uniform currents of the N-layer fluids are taken as zero, and the solutions also reduce to those obtained by Song (2005) for second-order solutions for random interfacial waves with steady uniform currents if N=2.

Second-order Stokes wave solutions for intefacial waves in three-layer stratified fluid with background current

In this paper, interfacial waves in three-layer stratified fluid with background current are investigated using a perturbation method, and the second-order asymptotic solutions of the velocity potentials and the second-order Stokes wave solutions of the associated elevations of the interfacial waves are presented based on the small amplitude wave theory, and the Kelvin-Helmholtz instability of interfacial waves is studied. As expected, for three-layer stratified fluid with background current, the first-order asymptotic solutions (linear wave solutions), dispersion relation and the second-order asymptotic solutions derived depend on not only the depths and densities of the three-layer fluid but also the background current of the fluids, and the second-order Stokes wave solutions of the associated elevations of the interfacial waves describe not only the second-order nonlinear wave-wave interactions between the interfacial waves but also the second-order nonlinear interactions between the interfacial waves and currents. It is also noted that the solutions obtained from the present work include the theoretical results derived by Chen et al (2005) as a special case. It also shows that with the given wave number k (real number) the interfacial waves may show Kelvin-Helmholtz instability.

Report on some species of Palaemonidae (Crustacea, Decapoda) from French Polynesia

Based on material collected from French Polynesia and deposited in the Museum national d'Histoire naturelle, Paris, the present paper reports 31 palaemonid shrimp species, which belong to the Palaemoninae (two genera, three species) and to the Pontoniinae (12 genera, 28 species), including six new species. The new species are: Izucaris crosnieri n. sp., Periclimenes alexanderi n. sp., P. josephi n. sp., P platydactylus n. sp., P polynesiensis n. sp. and P vicinus n. sp. Detailed descriptions and illustrations of the new species are provided. Besides the six new species, ten other species are recorded for the first time from French Polynesia: Exoclimenella maldivensis Duris & Bruce, 1995, Kemponia rapanui (Fransen, 1987) n. comb., Palaemonella crosnieri Bruce, 1978, P spinulata Yokoya, 1936, Periclimenaeus hecate (Nobili, 1904), P orbitocarinatus Fransen, 2006, Periclimenes aleator Bruce, 199 1, P paralcocki Li & Bruce, 2006, P uniunguiculatus Bruce, 1990, Pontonides loloata Bruce, 2005.

Maxwell's Demon, Rectifiers, and the Second Law: Computer Simulation of Smoluchowski's Trapdoor

We have simulated numerically an automated Maxwell's demon inspired by Smoluchowski's ideas of 1912. Two gas chambers of equal area are connected via an opening that is covered by a trapdoor. The trapdoor can open to the left but not to the right, and is intended to rectify naturally occurring variations in density between the two chambers. Our results confirm that though the trapdoor behaves as a rectifier when large density differences are imposed by external means, it can not extract useful work from the thermal motion of the molecules when left on its own.

Proceedings of the Second PHANToM User's Group Workshop

On October 19-22, 1997 the Second PHANToM Users Group Workshop was held at the MIT Endicott House in Dedham, Massachusetts. Designed as a forum for sharing results and insights, the workshop was attended by more than 60 participants from 7 countries. These proceedings report on workshop presentations in diverse areas including rigid and compliant rendering, tool kits, development environments, techniques for scientific data visualization, multi-modal issues and a programming tutorial.

Una testimonianza silenziosa.Storia della Chiesa cattolica in Tunisia dal Trattato del Bardo alla ‘rivoluzione dei gelsomini’

The work examines the change involving the Church in Tunisia from the period of the Protectorate to the present through the fundamental moments of independence (1956) and the signing of the ‘Modus vivendi’ (1964). In the first structure of the “modern” Church, a fundamental role was played by the complex figure of the French Cardinal Charles-Allemand Lavigerie who, while giving strong impulse to setting up disinterested charitable social initiatives by the congregations (Pères Blancs, Soeurs Blanches and others), also represented the ideal of the ‘evangelizing’ (as well as colonial) Church which, despite its declared will to avoid proselytism, almost inevitably tended to slip into it. During the French Protectorate (1881-1956) the ecclesiastic institution concentrated strongly on itself, with little heed for the sensitivity of its host population, and developed its activities as if it were in a European country. From the social standpoint, the Church was mostly involved in teaching, which followed the French model, and health facilities. In the Church only the Pères Blancs missionaries were sincerely committed to promoting awareness of the local context and dialogue with the Muslims. The Catholic clergy in the country linked its religious activity close to the policy of the Protectorate, in the hope of succeeding in returning to the ancient “greatness of the African Church”, as the Eucharistic Congress in Carthage in 1930 made quite clear. The Congress itself planted the first seed in the twentyfive- year struggle that led the Tunisian population to independence in 1956 and the founding of the Republic in 1957. The conquest of independence and the ‘Modus vivendi’ marked a profound change in the situation and led to an inversion of roles: the Catholic community was given the right to exist only on the condition that it should not interfere in Tunisian society. The political project of Bourguiba, who led the Republic from 1957 to 1987, aimed to create a strongly egalitarian society, with a separation between political and religious powers. In particular, in referring to the Church, he appeared as a secularist with no hostility towards the Catholics who were, however, considered as “cooperators”, welcome so long as they were willing to place their skills at the service of the construction of the state. So, in the catholic Community was a tension between the will of being on the side of the country and that of conserving a certain distance from it and not being an integral part of it. In this process of reflection, the role of the Second Vatican Council was fundamental: it spread the idea of a Church open to the world and the other religions, in particular to Islam: the teaching of the Council led the congregations present in the country to accept the new condition. This new Church that emerged from the Council saw some important events in the process of “living together”, of “cultural mixing” and the search for a common ground between different realities. The almost contemporary arrival of Arab bishops raised awareness among the Tunisians of the existence of Christian Arabs and, at the same time, the Catholic community began considering their faith in a different way. In the last twenty years the situation has continued to change. Side by side with the priests present for decades or even those born there, some new congregations have begun to operate, albeit in small numbers: they have certainly revitalized the community of the faithful, but they sometimes appear more devoted to service “within” the Church, than to services for the population, and are thus characterized by exterior manifestations of their religion. This sort of presence has made it possible for Bourguiba's successor, Ben Ali (president from 1987 to 2011), to practice forms of tolerance even more clearly, but always limited to formal relations; the Tunisians are still far from having a real understanding of the Catholic reality, with certain exceptions connected to relations on a personal and not structured plane, as was the case in the previous period. The arrival of a good number of young people from sub-Saharan Africa, most of all students, belonging to the JCAT, and personnel of the BAD has “Africanized” the Church in Tunisia and has brought about an increase in Christians' exterior manifestations; but this is a visibility that is not blatant but discreet, with the implicit risk of the Church continuing to be perceived as a sort of exterior body, alien to the country; nor can we say, lacking proper documentation, how it will be possible to build a bridge between different cultures through the “accompaniment” of Christian wives of Tunisians. Today, the Church is living in a country that has less and less need of it; its presence, in the schools and in health facilities, is extremely reduced. And also in other sectors of social commitment, such as care for the disabled, the number of clergymen involved is quite small. The ‘revolution’ in 2011 and the later developments up to the present have brought about another socio-political change, characterized by a climate of greater freedom, but with as yet undefinable contours. This change in the political climate will inevitable have consequences in Tunisia’s approach to religious and cultural minorities, but it is far too soon to discuss this on the historical and scientific planes.

Strat?gie et id?ologie: le haut commandement fran?ais et la guerre civile espagnole?

Jackson, Peter, 'Strat?gie et id?ologie: le haut commandement fran?ais et la guerre civile espagnole ', Guerres Mondiales et Conflits Contemporains - Revue Trimestrielle d'Histoire (2001) 199 pp.111-133 RAE2008

The geography of Celtic personal names in the Latin inscriptions of the Roman Empire

Raybould, Marilynne, and Sims-Williams, Patrick, The geography of Celtic personal names in the Latin inscriptions of the Roman Empire (Aberystwyth: CMCS publications, 2007) RAE2008