Existence and stability of strong solutions to the Abels–Garcke–Grün model in three dimensions

A Giorgini - Interfaces and Free Boundaries, 2022 - ems.press
… This work is devoted to the analysis of the strong solutions to the AbelsGarckeGrün (AGG)
model in three dimensions. First, we prove the existence of local-in-time strong solutions
originating from an initial datum .u0; 0/ 2 H1 … Next, we prove a stability result between the
strong solutions to the AGG model and to the model H departing from the same initial datum
in terms of the density values. …
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