Search Results - "Lillo, S De"

Collective learning modeling based on the kinetic theory of active particles by Burini, D., De Lillo, S., Gibelli, L.

“…This paper proposes a systems approach to the theory of perception and learning in populations composed of many living entities. Starting from a…”
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Learning dynamics towards modeling living systems: Reply to comments on “Collective learning modeling based on the kinetic theory of active particles” by Burini, D., De Lillo, S., Gibelli, L.

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The unified transform for linear, linearizable and integrable nonlinear partial differential equations by Fokas, A S, De Lillo, S

“…So-called inverse scattering provides a powerful method for analyzing the initial value problem for a large class of nonlinear evolution partial differential…”
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On a "Quasi" Integrable Discrete Eckhaus Equation by Ablowitz, M J, Ahrens, C D, Lillo, S De

“…In this paper, a discrete version of the Eckhaus equation is introduced. The discretization is obtained by considering a discrete analog of the transformation…”
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A Two-Phase Free Boundary Problem for the Nonlinear Heat Equation by Lillo, S De, Salvatori, M C

“…A two-phase free boundary problem associated with nonlinear heat conduction is considered. The problem is mapped into two one-phase moving boundary problems…”
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Inhomogeneous Burgers Lattices by Lillo, S De, Konotop, V V

“…We study statistical properties of inhomogeneous Burgers lattices which are solved by the discrete Cole-Hopf transformation. Using exact solutions we…”
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On a One-Phase Stefan Problem in Nonlinear Conduction by Lillo, S De, Salvatori, M C

“…A one phase Stefan problem in nonlinear conduction is considered. The problem is shown to admit a unique solution for small times. An exact solution is…”
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On the modeling of collective learning dynamics by De Lillo, S., Bellomo, N.

“…This paper deals with the modeling of the collective learning dynamics of two systems of a heterogeneously distributed population. The first one evolves…”
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The Eckhaus soliton propagation in a random medium by De Lillo, S., Sanchini, G.

“…The random-force driven Eckhaus equation is studied in the case of a long-range correlated noise. In this model the random forcing describes the effect of a…”
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On a free boundary problem in a nonlinear diffusive–convective system by De Lillo, S., Salvatori, M.C., Sanchini, G.

“…A free boundary problem for a nonlinear diffusion–convection equation is considered. The problem is reduced to a nonlinear integral equation in time which is…”
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Elastic rods in life- and material-sciences: A general integrable model by Argeri, M., Barone, V., De Lillo, S., Lupo, G., Sommacal, M.

“…The study of elastic deformations in thin rods has recently seen renewed interest due to the close connection between these systems and coarse-grained models…”
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Solutions of a Burgers–Stefan problem by Ablowitz, M.J., De Lillo, S.

“…A method to solve a one-phase Stefan problem associated to the Burgers equation is outlined. It is shown that the problem admits an exact solution which is a…”
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Mathematical tools of the kinetic theory of active particles with some reasoning on the modelling progression and heterogeneity by De Lillo, S., Salvatori, M.C., Bellomo, N.

“…The mathematical approach proposed in this paper refers to the modelling, and related mathematical problems, of large systems of interacting entities whose…”
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Nonlinear heat diffusion under impulsive forcing by Burini, D., De Lillo, S.

“…A nonlinear diffusion equation under the influence of an external forcing of distribution type is considered. The initial value problem on the line is shown to…”
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Learning dynamics towards modeling living systems by Burini, D., De Lillo, S., Gibelli, L.

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WITHDRAWN: A nonlinear diffusion equation on a moving boundary by Barone, V., De Lillo, S., Polimeno, A.

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Traveling Waves in Elastic Rods with Arbitrary Curvature and Torsion by Ablowitz, M. J., Barone, V., De Lillo, S., Sommacal, M.

“…The dynamic Kirchhoff equations, describing a thin elastic rod of infinite length, are considered in connection with the study of the conformations of…”
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Half-line solutions of a nonlinear heat conduction problem by De Lillo, S., Lupo, G., Sommacal, M.

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Existence of energy minimums for thin elastic rods in static helical configurations by Argeri, M., Barone, V., De Lillo, S., Lupo, G., Sommacal, M.

“…We characterize families of solutions of the static Kirchhoff model of a thin elastic rod physically. These families, which are proved to exist, depend on the…”
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On the Burgers equation with moving boundary by Biondini, Gino, De Lillo, Silvana

“…A general method for solving the Dirichlet problem for the Burgers equation with a moving boundary is introduced. The method reduces the initial value problem…”
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