Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weak-strong uniqueness for Maxwell-Stefan systems   The weak-strong uniqueness for Maxwell--Stefan systems and some generalized
systems is proved. The corresponding parabolic cross-diffusion equations are
considered in a bounded domain with no-flux boundary conditions. The key points
of the proofs are various inequalities for the relative entropy associated to
the systems and the analysis of the spectrum of a quadratic form capturing the
frictional dissipation. The latter task is complicated by the singular nature
of the diffusion matrix. This difficulty is addressed by proving its positive
definiteness on a subspace and using the Bott--Duffin matrix inverse. The
generalized Maxwell--Stefan systems are shown to cover several known
cross-diffusion systems for the description of tumor growth and physical vapor
deposition processes.

15
The categories of this paper are: nucl-ex
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The categories of this paper are: econ
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
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The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
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The categories of this paper are: stat
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc