Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global existence for a strongly coupled Cahn-Hilliard system with
  viscosity   An existence result is proved for a nonlinear diffusion problem of
phase-field type, consisting of a parabolic system of two partial differential
equations, complemented by Neumann homogeneous boundary conditions and initial
conditions. This system is meant to model two-species phase segregation on an
atomic lattice under the presence of diffusion. A similar system has been
recently introduced and analyzed in the paper arXiv:1103.4585 . Both systems
conform to the general theory developed in [P. Podio-Guidugli, Models of phase
segregation and diffusion of atomic species on a lattice, Ric. Mat. 55 (2006)
105-118]: two parabolic PDEs, interpreted as balances of microforces and
microenergy, are to be solved for the order parameter and the chemical
potential. In the system studied in this note, a phase-field equation fairly
more general than in arXiv:1103.4585 is coupled with a highly nonlinear
diffusion equation for the chemical potential, in which the conductivity
coefficient is allowed to depend nonlinearly on both variables.

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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph