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dc.contributor.authorAntman, Stuart S.en_US
dc.date.accessioned2007-05-23T09:41:13Z
dc.date.available2007-05-23T09:41:13Z
dc.date.issued1988en_US
dc.identifier.urihttp://hdl.handle.net/1903/4765
dc.description.abstractIn this note, we add a new wrinkle to the very old problem of determining the motion of a mass point on a spring. We adopt a general model for the spring in which the force needed to compress it to zero length is infinite. (Consequently the motion is governed by a singular nonlinear second-order ordinary differential equation.) In this setting we entertain the possibility, permitted by the governing equations, that such a total compression is actually attained. This total compression corresponds to a kind of shock. We then extract from the governing equations all the illumination they can shed on the physical behavior. Our problem, which presents novel features for ordinary differential equations, captures in microcosm deep and unresolved issues involving shocks and their suppression, which arise in the study of quasilinear hyperbolic and parabolic partial differential equations. We comment briefly on these issues in Section 8.en_US
dc.format.extent800983 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoen_USen_US
dc.relation.ispartofseriesISR; TR 1988-34en_US
dc.titleA Zero - Dimensional Shock.en_US
dc.typeTechnical Reporten_US
dc.contributor.departmentISRen_US


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