This article is devoted to backward self-similar blow up solutions of the compressible Navier–Stokes equations with radial symmetry. We show that such solutions cannot exist if they either have finite energy, or satisfy appropriate smallness conditions. Furthermore, numerical simulations lead us to the conjecture that such solutions do not exist.

中文翻译：

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可压缩 Navier-Stokes 方程的后向自相似解

本文致力于径向对称可压缩 Navier-Stokes 方程组的后向自相似爆破解。我们表明，如果此类解具有有限的能量或满足适当的小条件，则它们不存在。此外，数值模拟使我们推测这样的解不存在。