Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local existence results for the Westervelt equation with nonlinear
  damping and Neumann as well as absorbing boundary conditions   We investigate the Westervelt equation with several versions of nonlinear
damping and lower order damping terms and Neumann as well as absorbing boundary
conditions. We prove local in time existence of weak solutions under the
assumption that the initial and boundary data are sufficiently small.
Additionally, we prove local well-posedness in the case of spatially varying
$L^{\infty}$ coefficients, a model relevant in high intensity focused
ultrasound (HIFU) applications.

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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
19
The categories of this paper are: eess
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The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
9
The categories of this paper are: nlin