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Thisarticleisconcernedwiththeasymptoticbehaviorofthetwo-dimensionalinviscid Boussinesq equations with a damping term in the velocity equation. Precisely, we provide the time- decay rates of the smooth solutions to that system. The key ingredient is a careful analysis of the Green kernel of the… |
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The containment of the invasive species is a widespread problem in the environmental management, with a significant economic impact. We analyze an optimal control model which aims to find the best temporal resource allocation strategy for the removal of an invasive species. We derive the optimality… |
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We apply the techniques of monotone and relative rearrangements to the non rearrangement invariant spaces Lp(·) (? ) with variable exponent. In particular, we show that the maps u ? L p( ·) (? ) -> k(t )u* ? L p * (·)(0, meas? ) and u ? L p( ·) (? ) -> u* ? Lp* (·) (0, meas? ) are locally ?-… |
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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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Pencils of matrices whose elements have a joint noncentral Gaussian distribution with
nonidentical covariance are considered. An approximation to the distribution of the
squared modulus of their determinant is computed which allows to get a closed form
approximation of the condensed density of 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… |
