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Variational methods for image segmentation try to recover a piecewise smooth function together with a discontinuity set which represents the boundaries of the segmentation. This paper deals with a variational method that constrains the formation of discontinuities along smooth contours. The… |
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The Hilbert-Huang transform is applied to analyze single-particle Lagrangian velocity data from numerical simulations of hydrodynamic turbulence. The velocity trajectory is described in terms of a set of intrinsic mode functions C-i(t) and of their instantaneous frequency omega(i) (t). On the basis… |
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This paper proposes a crowd dynamic macroscopic model grounded on microscopic phenomenological observations which are upscaled by means of a formal mathematical procedure. The actual applicability of the model to real-world problems is tested by considering the pedestrian traffic along footbridges… |
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BACKGROUND: Network science represents a powerful and increasingly promising method for studying complex real-world problems. In the last decade, it has been applied to psychometric data in the attempt to explain psychopathologies as complex systems of causally interconnected symptoms. One category… |
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We present a method for applying a class of velocity-dependent forces within a multicomponent lattice Boltzmann equation simulation that is designed to recover continuum regime incompressible hydrodynamics. This method is applied to the problem, in two dimensions, of constraining to uniformity the… |
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Motivated by regulartiry questions for harmonic map flow, blow up phenomena for solutions of a singular parabolic pde is studied. |
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We compute the metric fluctuations induced by a turbulent energy-matter tensor within the first order
post-Minkowskian approximation. It is found that the turbulent energy cascade can in principle interfere
with the process of black hole formation, leading to a potentially strong coupling between… |
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