2019
DOI: 10.1007/s10665-019-10012-y
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A scalar prototype problem of deep abrasive drilling with an infinite free boundary: an asymptotic modeling study

Abstract: A vanishing at infinity solution of the three-dimensional Laplace equation is sought in an a priori unknown domain with overdetermined boundary conditions, the right-hand sides of which depend on the unit normal to the free boundary. A perturbation analysis of the nonstandard free boundary problem that models deep abrasive drilling has been performed under the assumption that the free boundary is close to the surface of a given semi-infinite cylinder, the longitudinal position of which depends on the boundary … Show more

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References 33 publications
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