Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence and uniqueness of solutions to singular Cahn-Hilliard
  equations with nonlinear viscosity terms and dynamic boundary conditions   We prove global existence and uniqueness of solutions to a Cahn-Hilliard
system with nonlinear viscosity terms and nonlinear dynamic boundary
conditions. The problem is highly nonlinear, characterized by four
nonlinearities and two separate diffusive terms, all acting in the interior of
the domain or on its boundary. Through a suitable approximation of the problem
based on abstract theory of doubly nonlinear evolution equations, existence and
uniqueness of solutions are proved using compactness and monotonicity
arguments. The asymptotic behaviour of the solutions as the the diffusion
operator on the boundary vanishes is also shown.

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The categories of this paper are: comp-gas
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th