Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlinear diffusion equations as asymptotic limits of Cahn-Hilliard
  systems   An asymptotic limit of a class of Cahn-Hilliard systems is investigated to
obtain a general nonlinear diffusion equation. The target diffusion equation
may reproduce a number of well-known model equations: Stefan problem, porous
media equation, Hele-Shaw profile, nonlinear diffusion of singular logarithmic
type, nonlinear diffusion of Penrose-Fife type, fast diffusion equation and so
on. Namely, by setting the suitable potential of the Cahn-Hilliard systems, all
of these problems can be obtained as limits of the Cahn-Hilliard related
problems. Convergence results and error estimates are proved.

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The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs