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Global existence of weak solutions to the drift-flux system for general pressure laws

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Abstract

The initial value problem of the multi-dimensional drift-flux model for two-phase flow is investigated in this paper, and the global existence of weak solutions with finite energy is established for general pressure-density functions without the monotonicity assumption.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant Nos. 11931010, 11671384 and 11871047), the key research project of Academy for Multidisciplinary Studies, Capital Normal University, and the Capacity Building for Sci-Tech Innovation-Fundamental Scientific Research Funds (Grant No. 007/20530290068). The authors thank the referees for their helpful suggestions and comments on the manuscript.

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  1. School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China

    Hailiang Li & Lingyun Shou

  2. Academy for Multidisciplinary Studies, Capital Normal University, Beijing, 100048, China

    Hailiang Li & Lingyun Shou

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  1. Hailiang Li
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Correspondence to Lingyun Shou.

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Li, H., Shou, L. Global existence of weak solutions to the drift-flux system for general pressure laws. Sci. China Math. 66, 251–284 (2023). https://doi.org/10.1007/s11425-021-1927-8

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