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math.AP2016
Local existence of smooth solutions to multiphase models in two space dimensions
Roberta Bianchini, Roberto Natalini
In this paper, we consider a class of models for multiphase fluids, in the framework of mixture theory. The considered system, in its more general form, contains both the gradient…
math.AP2014★ 1 cited
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…