Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A uniqueness lemma with applications to regularization and
  incompressible fluid mechanics   In this paper, we extend our previous result from [16]. We prove that
transport equations with rough coefficients do possess a uniqueness property.
Our method relies strongly on duality and bears a strong resemblance with the
well-known DiPerna-Lions theory first developed in [8]. As an application, we
show a uniqueness result for the Euler and Navier-Stokes equations at the Leray
regularity scale. In turn, this theorem stands as a barrier against the
paradoxical weak solutions constructed in [17], [18], [19] and later
reformulated in [6].

25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci