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math.AP2017
Uniform asymptotic and convergence estimates for the Jin-Xin model under the diffusion scaling
Roberta Bianchini
We provide sharp decay estimates in time in the context of Sobolev spaces, for smooth solutions to the one dimensional Jin-Xin model under the diffusion scaling, which are uniform…
math.AP2015
Global existence and asymptotic stability of smooth solutions to a fluid dynamics model of biofilms in one space dimension
Roberta Bianchini, Roberto Natalini
In this paper, we present an analytical study, in the one space dimensional case, of the fluid dynamics system proposed in [4] to model the formation of biofilms. After showing the…