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Global well‐posedness of the compressible Euler with damping in Besov spaces
Author(s) -
Jiu Quansen,
Zheng Xiaoxin
Publication year - 2012
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2543
Subject(s) - mathematics , besov space , uniqueness , euler equations , mathematical analysis , compressibility , euler's formula , space (punctuation) , initial value problem , product (mathematics) , compressible flow , pure mathematics , interpolation space , geometry , functional analysis , physics , philosophy , thermodynamics , biochemistry , chemistry , gene , linguistics
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.