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math.AP2018
On the long time behavior of a tumor growth model
Alain Miranville, Elisabetta Rocca, Giulio Schimperna
We consider the problem of the long time dynamics for a diffuse interface model for tumor growth. The model describes the growth of a tumor surrounded by host tissues in the presen…
math.AP2018
Uniqueness and regularity for the Navier-Stokes-Cahn-Hilliard system
Andrea Giorgini, Alain Miranville, Roger Temam
The motion of two contiguous incompressible and viscous fluids is described within the diffuse interface theory by the so-called Model H. The system consists of the Navier-Stokes e…