Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Onsager's conjecture for admissible weak solutions   We prove that given any $\beta<1/3$, a time interval $[0,T]$, and given any
smooth energy profile $e \colon [0,T] \to (0,\infty)$, there exists a weak
solution $v$ of the three-dimensional Euler equations such that $v \in
C^{\beta}([0,T]\times \mathbb{T}^3)$, with $e(t) = \int_{\mathbb{T}^3}
|v(x,t)|^2 dx$ for all $t\in [0,T]$. Moreover, we show that a suitable
$h$-principle holds in the regularity class $C^\beta_{t,x}$, for any
$\beta<1/3$. The implication of this is that the dissipative solutions we
construct are in a sense typical in the appropriate space of subsolutions as
opposed to just isolated examples.

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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph