Global solutions of a dissipative Baer-Nunziato type system for a mixture of two compressible heat conducting gases

We consider a dissipative Baer-Nunziato type system for a mixture of two compressible heat conducting gases in the whole space. The existence theory of the global solution to the system is established in HN(R3)-framework (N >= 2) when only the H2-norm of the initial perturbation is small. The weighted energy method combined with the low-frequency and high-frequency decomposition is used to derive the desired a priori estimates and hence the global existence. As a by-product, we obtain the decay rates of spatial derivatives of the solution. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.