Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability of thin fluid films characterised by a complex form of
  structural/effective disjoining pressure   We discuss instabilities of fluid films of nanoscale thickness, with a
particular focus on films where the destabilising mechanism allows for linear
instability, metastability, and absolute stability. Our study is motivated by
nematic liquid crystal films; however we note that similar instability
mechanisms, and forms of the effective disjoining pressure, appear in other
contexts, such as the well-studied problem of polymeric films on two-layered
substrates. The analysis is carried out within the framework of the long-wave
approximation, which leads to a fourth order nonlinear partial different
equation for the film thickness. Within the considered formulation, the nematic
character of the film leads to an additional contribution to the disjoining
pressure, changing its functional form. This effective disjoining pressure is
characterised by the presence of a local maximum for non-vanishing film
thickness. Such a form leads to complicated instability evolution that we study
by analytical means, including application of marginal stability criteria, and
by extensive numerical simulations that help us develop a better understanding
of instability evolution in the nonlinear regime. This combination of
analytical and computational techniques allows us to reach novel understanding
of relevant instability mechanisms, and of their influence on transient and
fully developed fluid film morphologies.

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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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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: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org