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Dissipative kinetic models inspired by neutron transport are studied in a (1+1)-dimensional context: first, in the two-stream approximation, then in the general case of continuous velocities. Both are known to relax, in the diffusive scaling, toward a damped heat equation. Accordingly, it is shown… |
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We propose here a well-balanced numerical scheme for the one-dimensional
Goldstein-Taylor system which is endowed with all the stability properties
inherent to the continuous problem and works in both rarefied and
diffusive regimes. |
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We investigate the rheology of strain-hardening spherical capsules, from the dilute to
the concentrated regime under a confined shear flow using three-dimensional numerical
simulations. We consider the effect of capillary number, volume fraction and membrane inextensibility on the particle… |
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We review some ideas about the physics of small-scale turbulent statistics, focusing on the scaling behavior of anisotropic fluctuations. We present results from direct numerical simulations of three-dimensional homogeneous, anisotropically forced, turbulent systems: the RayleighBénard system, the… |
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We present a multiphase mathematical model for tumor growth which incorporates the remodeling of the extracellular matrix and describes the formation of fibrotic tissue by tumor cells. We also detail a full qualitative analysis of the spatially homogeneous problem, and study the equilibria of the… |
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The role of information management and retrieval in production processes has
been gaining in importance in recent years. In this context, the ability to search
for and quickly find the small piece of information needed from the huge amount
of information available has crucial importance. One… |
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In a computer-aided system for skin cancer diagnosis, hair removal is one of the main challenges to face before applying a process of automatic skin lesion segmentation and classification. In this paper, we propose a straightforward method to detect and remove hair from dermoscopic images.… |
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We set a control model to study the biomechanical problem of swing pumping. After describing the sytem, we provide the solution to some optimal control problems. |
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We consider an integro-differential model for evolutionary gametheory which describes the evolution of a population adopting mixed strategies.Using a reformulation based on the first moments of the solution, we provesome analytical properties of the model and global estimates. The… |