1 citations · 2 across the 4 of their papers we have counts for
4 papers
Vanishing viscosity approximation for linear transport equations on finite starshaped networks
Francesca R. Guarguaglini, Roberto Natalini
In this paper we study linear parabolic equations on a finite oriented starshaped network; the equations are coupled by transmission conditions set at the inner node, which do not…
Global solutions for a chemotaxis hyperbolic-parabolic system on networks with nonhomogeneous boundary conditions
Francesca Romana Guarguaglini
In this paper we study a semilinear hyperbolic-parabolic system as a model for some chemotaxis phenomena evolving on networks; we consider transmission conditions at the inner node…
Stationary solutions and asymptotic behaviour for a chemotaxis hyperbolic model on a network
Francesca Romana Guarguaglini
This paper approaches the question of existence and uniqueness of stationary solutions to a semilinear hyperbolic-parabolic system and the study of the asymptotic behaviour of glob…
Global smooth solutions for a hyperbolic chemotaxis model on a network
Francesca Romana Guarguaglini, Roberto Natalini
In this paper we study a semilinear hyperbolic-parabolic system modeling biological phenomena evolving on a network composed by oriented arcs. We prove the existence of global (in…