Abstract
We obtain the global large solutions to the compressible Navier–Stokes equations in \({\mathbb {R}}^2\). The solution is large in the sense that there is no smallness assumption applied to one component of the initial incompressible velocity.
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Acknowledgements
This work is partially supported by the NSFC under the Grant Number 11601533, the Natural Science Foundation of Guangdong Province of China under Grant 2020B1515310008 and the Project of Educational Commission of Guangdong Province of China under Grant 2019KZDZX1007.
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Zhai, X., Chen, ZM. Global large solutions to the two-dimensional compressible Navier–Stokes equations. Z. Angew. Math. Phys. 72, 62 (2021). https://doi.org/10.1007/s00033-021-01501-1
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DOI: https://doi.org/10.1007/s00033-021-01501-1