On a Non-conservative Compressible Two-Fluid Model in a Bounded Domain: Global Existence and Uniqueness

摘要

In this work, we consider the Dirichlet problem for a non-conservative compressible two-fluid model in three dimensions. In particular, capillary pressure is taken into account in the sense that P+-P-=f not equal 0 where f is assumed to be a strictly decreasing function near the equilibrium. This work aims to prove that this assumption has an essential stabilization effect on the model in bounded domains.

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