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Motility behavior of an engineered chemosensory particle (ECP) in fluidic environments is driven by its responses to chemical stimuli. One of the challenges to understanding such behaviors lies in tracking changes in chemical signal gradients of chemoattractants and ECP-fluid dynamics as the fluid… |
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The global existence of smooth solutions of the Cauchy
problem for the $N$-dimensional Euler-Poisson model for
semiconductors is established,
under the assumption
that the initial data is a perturbation of a stationary solution
of the drift-diffusion equations with zero electron velocity,
which is… |
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The problem of inverse statistics (statistics of distances for which the signal fluctuations are larger than a certain threshold) in differentiable signals with power law spectrum, E(k) approximately k(-alpha), 3< or =alpha<5, is discussed. We show that for these signals, with random phases,… |
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A comparison between A(1) and A(2) processes, when used for describing the evolution in time of the global rate of return on investments made by an insurance company, is proposed. In particular, we compare the two processes analysing the parameter sensibility to the size of the sampling interval.… |
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The dynamics of a system quenched into a state with lamellar order and subject to an uniform shear flow is solved in the large-N limit. The description is based on the Brazovskii free energy and the evolution follows a convection-diffusion equation. Lamellas order preferentially with the normal… |
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A new class of multiscale scheme is presented for micro-hydrodynamic problems based on a dual representation of the fluid observables. The hybrid model is first tested against the classical flow between two parallel plates and then applied to a plug flow within a micrometer-sized striction and a… |
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