Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Global Stability for Lifschitz-Slyozov-Wagner like equations   This paper is concerned with the stability and asymptotic stability at large
time of solutions to a system of equations, which includes the
Lifschitz-Slyozov-Wagner (LSW) system in the case when the initial data has
compact support. The main result of the paper is a proof of weak global
asymptotic stability for LSW like systems. Previously strong local asymptotic
stability results were obtained by Niethammer and Vel\'{a}zquez for the LSW
system with initial data of compact support. Comparison to a quadratic model
plays an important part in the proof of the main theorem when the initial data
is critical. The quadratic model extends the linear model of Carr and Penrose,
and has a time invariant solution which decays exponentially at the edge of its
support in the same way as the infinitely differentiable self-similar solution
of the LSW model.

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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: stat