Global well-posedness of the compressible Euler with damping in Besov spaces

摘要

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 B2,1N 2 +1(RN) comparing with previous results.