Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Limit Set of Trajectories of the Coupled Viscous Burgers' Equations   In this letter, a coupled system of viscous Burgers' equations with zero
Dirichlet boundary conditions and appropriate initial data is considered. For
the well-known single viscous Burgers' equation with zero Dirichlet boundary
conditions, the zero equilibrium is the unique global exponential point
attractor. A similar property is shown for the coupled Burgers' equations,
i.e., trajectories starting with initial data which is not too large approach
the zero equilibrium as time goes to infinity. This ``approaching" or
convergence is not necessarily exponentially fast, unlike the single viscous
Burgers' equation.

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The categories of this paper are: quant-ph
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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
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th