Abstract
This paper is dedicated to study of the Cauchy problem for a multi-dimensional (\({N \geq 2}\)) compressible viscous liquid–gas two-phase flow model. We prove the local well-posedness of the system for large data in critical Besov spaces based on the L p framework under the sole assumption that the initial liquid mass is bounded away from zero.
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Research supported by the National Natural Science Foundation of China (11171034, 11371221), China Postdoctoral Science Foundation funded project (2014M561893), the Open Fund of State Key Laboratory of Simulation and Regulation of Water Cycle in River Basin, China Institute of Water Resources and Hydropower Research Fund (IWHR-SKL-201407), and Young Scholars Research Fund of Shandong University of Technology.
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Xu, F., Yuan, J. On the well-posedness for a multi-dimensional compressible viscous liquid–gas two-phase flow model in critical spaces. Z. Angew. Math. Phys. 66, 2395–2417 (2015). https://doi.org/10.1007/s00033-015-0529-7
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DOI: https://doi.org/10.1007/s00033-015-0529-7