Weak-strong uniqueness for a bi-fluid model for a mixture of non-interacting compressible fluids

[摘要] We investigate a version of one velocity Baer-Nunziato type system with dissipation describing the motion of a mixture of two compressible fluids. We define for this system weak solutions on one hand and dissipative weak solutions on the other hand, and recall the theorem about their existence on a large time interval. We investigate strong solutions and show their existence on a short time interval. Finally, we prove that any weak solution satisfies a relative energy inequality and prove for this system the weak-strong uniqueness principle. This is the main result of the paper. (C) 2019 Elsevier Inc. All rights reserved.

[发布日期] 2019-12-15

[关键词] One velocity Baer-Nunziato type system;Weak solutions;Strong solutions;Relative energy;Weak-strong uniqueness