论文标题

全面可压缩的Navier-Stokes方程的弱解决方案的节能法

Energy conservation law for weak solutions of the full compressible Navier-Stokes equations

论文作者

Aoki, Motofumi, Iwabuchi, Tsukasa

论文摘要

我们认为,对于曲面上的完整可压缩的Navier-Stokes方程来说,弱解决方案的节能定律有足够的条件。我们证明,在特定的一致性条件下,由Feireisl构建的弱解决方案可保留能量。与现有结果相比,我们的假设放宽了密度的规律性条件。

We consider a sufficient condition for the energy conservation law of a weak solution for the full compressible Navier-Stokes equations on the torus. We prove that a weak solution constructed by Feireisl with certain integrability conditions conserve the energy. Our assumption relaxes the regularity condition for the density compared with existing results.

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