Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On The 1+2 Dimensional Landau-Lifshitz Equation   By using the geometric concept of PDEs with prescribed curvature
representations, we show that the 1+2 dimensional Landau-Lifshitz equation is
gauge equivalent to a 1+2 dimensional nonlinear Schr\"odinger-type system.
  From the nonlinear Schr\"odinger-type system, we construct blowing up
$H^3({\bf R}^2)$-solutions to the 1+2 dimensional Landau-Lifshitz equation,
which reveals the blow up phenomenon of the equation.

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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
1
The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
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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: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: cond-mat