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The Cauchy problem of a two-phase flow model for a mixture of non-interacting compressible fluids

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The second author is supported by the National Natural Science Foundation of China (Grant Nos. 11871341 and 12071152)

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  • In this paper, we consider the global existence of the Cauchy problem for a version of one velocity Baer-Nunziato model with dissipation for the mixture of two compressible fluids in $ \mathbb{R}^3 $. We get the existence theory of global strong solutions by using the decaying properties of the solutions. The energy method combined with the low-high-frequency decomposition is used to derive such properties and hence the global existence. As a byproduct, the optimal time decay estimates of all-order spatial derivatives of the pressure and the velocity are obtained.

    Mathematics Subject Classification: Primary: 76T10, 76N10; Secondary: 35M11.


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