8 citations · 9 across the 6 of their papers we have counts for
6 papers
A Damage-Driven Model for Duchenne Muscular Dystrophy: Early-Stage Dynamics and Invasion Thresholds
Gaetana Gambino, Francesco Gargano, Alessandra Rizzo +1
We introduce a spatially extended mathematical model for Duchenne muscular dystrophy based on a damage-driven paradigm, in which immune recruitment is triggered by tissue injury. T…
Geometric aspects of non-homogeneous 1+0 operators
Marta Dell'Atti, Alessandra Rizzo, Pierandrea Vergallo
Led by the key example of the Korteweg-de Vries equation, we study pairs of Hamiltonian operators which are non-homogeneous and are given by the sum of a first-order operator and a…
Classification of 1+0 two-dimensional Hamiltonian operators
Alessandra Rizzo
In this paper, we study Hamiltonian operators which are sum of a first order operator and of a Poisson tensor, in two spatial independent variables. In particular, a complete class…
A reduction procedure for determining exact solutions of second order hyperbolic equations
Natale Manganaro, Alessandra Rizzo
In this paper we develop a systematic reduction procedure for determining intermediate integrals of second order hyperbolic equations so that exact solutions of the second order PD…
Quasilinear differential constraints for parabolic systems of Jordan-block type
Alessandra Rizzo, Pierandrea Vergallo
We prove that linear degeneracy is a necessary conditions for systems in Jordan-block form to admit a compatible quasilinear differential constraint. Such condition is also suffici…
Solutions to the wave equation for commuting flows of dispersionless PDEs
Natale Manganaro, Alessandra Rizzo, Pierandrea Vergallo
Motivated by the viewpoint of integrable systems, we study commuting flows of 2-component quasilinear equations, reducing to investigate the solutions of the wave equation with non…