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arXiv · 2602.22550

The global well-posedness of the multi-dimensional compressible Euler system with damping in the $L^p$ critical Besov spaces for $p<2$

Jianzhong Zhang·Ying Sui·Xiliang Li
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Abstract

In this paper, we study the Cauchy's problem of the compressible Euler system with damping and establish the global-in-time well-posedness in $L^p$-type critical Besov spaces for $1\leq p<2$. To achieve it, a new product estimate is established in $L^2$-$L^p$ hybrid Besov spaces.

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Jianzhong Zhang, Ying Sui, Xiliang Li. 2026-02-26. The global well-posedness of the multi-dimensional compressible Euler system with damping in the $L^p$ critical Besov spaces for $p<2$. https://arxiv.org/abs/2602.22550

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