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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.AP2016
Well-posedness of a model of nonhomogeneous compressible-incompressible fluids
Roberta Bianchini, Roberto Natalini
We propose a model of a density-dependent compressible-incompressible fluid, which is intended as a simplified version of models based on mixture theory as, for instance, those ari…