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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References:

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