Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Perturbations of planar interfaces in Ginzburg-Landau models   Certain dissipative Ginzburg-Landau models predict existence of planar
interfaces moving with constant velocity. In most cases the interface solutions
are hard to obtain because pertinent evolution equations are nonlinear. We
present a systematic perturbative expansion which allows us to compute effects
of small terms added to the free energy functional of a soluble model. As an
example, we take the exactly soluble model with single order parameter $\phi$
and the potential $V_0(\phi) = A\phi^2 + B \phi^3 + \phi^4$, and we perturb it
by adding $V_1(\phi) = {1/2} \epsilon_1 \phi^2 \partial_i \phi \partial_i \phi
+ 1/5 \epsilon_2 \phi^5 + 1/6 \epsilon_3 \phi^6. $ We discuss the corresponding
changes of the velocity of the planar interface.

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The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
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The categories of this paper are: solv-int
2
The categories of this paper are: math
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: astro-ph