Global well‐posedness of the compressible Euler with damping in Besov spaces |
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| Authors: | Quansen Jiu Xiaoxin Zheng |
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| Affiliation: | 1. School of Mathematical Sciences, Capital Normal University, , Beijing 100048, China;2. The Graduate School of China Academy of Engineering Physics, , PO Box 2101 Beijing 100088, China |
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| Abstract: | In this paper, we consider the Cauchy problems for compressible Euler equations with damping. In terms of the Littlewood–Paley decomposition and Bony's para‐product formula, we prove the global existence, uniqueness and asymptotic behavior of the solution in the critical Besov space  comparing with previous results. Copyright © 2012 John Wiley & Sons, Ltd. |
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| Keywords: | Euler systems with damping spectral localization Besov space global well‐posedness |
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