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Review of Francesco Pelosi's Plato on Music, Soul and Body (trans. Sophie Henderson)
Mark Walley
Jan 06, 2012
Review of Francesco Pelosi's Plato on Music, Soul and Body (trans. Sophie Henderson)
Review of Francesco Pelosi's Plato on Music, Soul and Body (trans. Sophie Henderson)
Mark Walley
Jan 06, 2012
Review of Francesco Pelosi's Plato on Music, Soul and Body (trans. Sophie Henderson)
Stationary states of quadratic diffusion equations with long-range attraction
We study the existence and uniqueness of nontrivial stationary solutions to a nonlocal aggregation equation with quadratic diffusion arising in many contexts in
population dynamics. The equation is the Wasserstein gradient...
Robotic oncologic colorectal surgery with a new robotic platform (CMR Versius)
BACKGROUND: The present case-series describes the first full-robotic colorectal resections performed with the new CMR Versius platform (Cambridge Medical Robotics Surgical, 1 Evolution Business Park, Cambridge, United Kingdom)...
Fully parabolic Keller-Segel model for chemotaxis with prevention of overcrowding
M. Di Francesco, J. Rosado
Nov 01, 2008
In this paper we study a fully parabolic version of the Keller-Segel system in the presence of a volume filling effect which prevents blow-up of the L norm. This effect is sometimes referred to as prevention of overcrowding. As...
Large time behavior of nonlocal aggregation models with nonlinear diffusion
The aim of this paper is to establish rigorous results on the large time behavior of nonlocal models for aggregation, including the possible presence of nonlinear diffusion terms modeling local repulsions. We show that, as...
Large time behavior in Wasserstein spaces and relative entropy for bipolar drift-diffusion-Poisson models
M. Di Francesco, M. Wunsch
May 01, 2008
We prove asymptotic stability results for nonlinear bipolar drift-diffusion-Poisson Systems arising in semiconductor device modeling and plasma physics in one space dimension. In particular, we prove that, under certain...
Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion
We study a system arising in the modelling of the motion of swimming bacteria under the effect of diffusion, oxygen-taxis and transport through an incompressible fluid. The novelty with respect to previous papers in the...
The one-dimensional Hughes model for pedestrian flow
D. Amadori, M. Di Francesco
Jan 01, 2012
This paper deals with a coupled system consisting of a scalar conservation law and an eikonal equation, called the Hughes model. Introduced in [24], this model attempts to describe the motion of pedestrians in a densely crowded...
Stationary states of quadratic diffusion equations with long-range attraction
We study the existence and uniqueness of nontrivial stationary solutions to a nonlocal aggregation equation with quadratic diffusion arising in many contexts in
population dynamics. The equation is the Wasserstein gradient...
Asymptotic stability of constant steady states for a 2 2 reaction-diffusion system arising in cancer modelling
The dependence of tumor on essential nutrients is known to be crucial for its evolution and has become one of the targets for medical therapies. Based on this fact a reaction-diffusion system with chemotaxis term and...
Asymptotic stability of constant steady states for a 2 2 reaction-diffusion system arising in cancer modelling
The dependence of tumor on essential nutrients is known to be crucial for its evolution and has become one of the targets for medical therapies. Based on this fact a reaction-diffusion system with chemotaxis term and...
On the Hughes' model for pedestrian flow
In this paper we investigate the mathematical theory of Hughes' model for the flow of pedestrians (cf. Hughes (2002) [17]), consisting of a non-linear conservation law for the density of pedestrians coupled with an eikonal...
Curves of steepest descent are entropy solutions for a class of degenerate convection-diffusion equations
We consider a nonlinear degenerate convection-diffusion equation with inhomogeneous convection and prove that its entropy solutions in the sense of Kruzkov are obtained as the - a posteriori unique - limit points of the JKO...
Fully parabolic Keller-Segel model for chemotaxis with prevention of overcrowding
M. Di Francesco, J. Rosado
Nov 01, 2008
In this paper we study a fully parabolic version of the Keller-Segel system in the presence of a volume filling effect which prevents blow-up of the L norm. This effect is sometimes referred to as prevention of overcrowding. As...
Curves of steepest descent are entropy solutions for a class of degenerate convection-diffusion equations
We consider a nonlinear degenerate convection-diffusion equation with inhomogeneous convection and prove that its entropy solutions in the sense of Kruzkov are obtained as the - a posteriori unique - limit points of the JKO...
Singular convergence of nonlinear hyperbolic chemotaxis systems to keller-segel type models
In this paper we deal with diffusive relaxation limits of nonlinear systems of Euler type modeling chemotactic movement of cells toward Keller-Segel type systems. The approximating systems are either hyperbolicparabolic or...
Singular convergence of nonlinear hyperbolic chemotaxis systems to keller-segel type models
In this paper we deal with diffusive relaxation limits of nonlinear systems of Euler type modeling chemotactic movement of cells toward Keller-Segel type systems. The approximating systems are either hyperbolicparabolic or...
Large time behavior of nonlocal aggregation models with nonlinear diffusion
The aim of this paper is to establish rigorous results on the large time behavior of nonlocal models for aggregation, including the possible presence of nonlinear diffusion terms modeling local repulsions. We show that, as...
Synergistic photoluminescence enhancement in conjugated polymer-di-ureasil organic-inorganic composites.
Poly(fluorene) conjugated polyelectrolyte (CPE)-di-ureasil organic-inorganic composites have been prepared using a versatile sol-gel processing method, which enables selective localisation of the CPE within the di-ureasil...
Faà di Bruno's formula and inversion of power series
Faà di Bruno's formula gives an expression for the derivatives of the composition of two real-valued functions. In this paper we prove a multivariate and synthesised version of Faà di Bruno's formula in higher dimensions...
Large time behavior in Wasserstein spaces and relative entropy for bipolar drift-diffusion-Poisson models
M. Di Francesco, M. Wunsch
May 01, 2008
We prove asymptotic stability results for nonlinear bipolar drift-diffusion-Poisson Systems arising in semiconductor device modeling and plasma physics in one space dimension. In particular, we prove that, under certain...

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