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arxiv: 1903.09958 · v1 · pith:FG27NBEFnew · submitted 2019-03-24 · 🧮 math.AP

Self-similar solutions for compressible Navier-Stokes equations

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keywords self-similarsolutionscompressibleequationsnavier-stokescavitationconstructexhibit
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We construct forward self-similar solutions (expanders) for the compressible Navier-Stokes equations. Some of these self-similar solutions are smooth, while others exhibit a singularity do to cavitation at the origin.

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