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This article is concerned with the rigorous justification of the hydrostatic limit for continuously
stratified incompressible fluids under the influence of gravity.
The main peculiarity of this work with respect to previous studies is that no (regularizing) viscosity contribution
is added to the… |
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This paper presents a new mathematical model of vehicular traffic, based on the methods of the generalized kinetic theory, in which the space of microscopic states (position and speed) of the vehicles is genuinely discrete. While in the recent literature discrete-velocity kinetic models of car… |
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The cooperation of scientists in Big-Sky-Earth COST Action creates an emergent group of researchers with relation to meteor science. Selected cases of development of novel approaches and techniques for meteor simulation and observation are presented. |
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The dynamics of a quasi two-dimensional isotropic droplet in a cholesteric liquid crystal medium under symmetric shear flow is studied by lattice Boltzmann simulations. We consider a geometry in which the flow direction is along the axis of the cholesteric, as this setup exhibits a significant… |
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We study a finite{dimensional approach to the Heath Jarrow Morton model
for interest rate and introduce a notion of approximate consistency for a family of functions
in a deterministic and stochastic framework. This amounts to asking the decrease
of the minimum distance in least squares sense. We… |
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Lattice Boltzmann models (LBM) and phase field models (PFM) are two of the most widespread approaches for the numerical study of multicomponent fluid systems. Both methods have been successfully employed by several authors but, despite their popularity, still remains unclear how to properly compare… |
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The alpha-quartz polymorph of SiO2 forms the basis of mineral sands stable down to 100 km depths below the surface, making it of central geoscientific relevance. The characterization of the nanoscale properties of these materials is of importance, especially for elastic properties governing phonon… |
