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The energy measure for the Euler equations: the endpoint case. (English) Zbl 07443293

Summary: In this paper, we consider the energy measure \(\mathcal{E}\) for the Euler equations in the endpoint case \(u \in L^{2 , \infty} ( B M O ( \Omega ) )\) for any \(\Omega \subseteq \mathbb{R}^3\). We establish the lower bounds of the lower local dimension and concentration dimension of the energy measure \(\mathcal{E}\) at the first blow-up time.

MSC:

35Q31 Euler equations
81-XX Quantum theory
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