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Well-posedness for the Linearized Motion of an Incompressible Liquid with Free Surface Boundary

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arxiv math/0112030 v4 pith:AZSFY6UP submitted 2001-12-04 math.AP

classification math.AP
keywords freelinearizedliquidmotionsurfaceboundaryequationsexistence
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We study the problem of the motion of the free surface of a liquid. We prove existence and stability for the linearized equations.

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Cited by 1 Pith paper

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  1. Local Well-posedness of the Free-boundary Problem in Incompressible Elastodynamics with Surface Tension

    math.AP 2024-11 reject novelty 6.0 of 10

    The paper claims a new proof of local well-posedness for free-boundary incompressible elastodynamics with surface tension, but the proof as written stops at the approximate system and never performs the limit back to ...

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