Penny Smith (mathematician)
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Penelope Smith is a mathematician at Lehigh University in Bethlehem, Pennsylvania, USA who in 2006 announced a solution to one of the Clay Mathematics Institute's Millenium problems, namely Navier-Stokes existence and smoothness. Unfortunately, her ArXiv preprint was withdrawn on October 8th, 2006 because of a 'serious flaw'. [1].
The preprint drew heavily on her previous work on Perron's method for second order hyperbolic partial differential equations and for quasilinear hyperbolic systems, following in the geometric tradition of DeTurck. She was also inspired by the geometric approach of Marsden, saying
- "It was Marsden's book which talked about the geometric theory of both Einstein Cauchy and NS Cauchy that got me into both problems.".
[edit] References
- P Smith "Eternal Continuous Viscosity Solutions of the Einstein Cauchy Problem" ArXiv preprint 2006 now withdrawn [2]
- P Smith "Perron's Method for General Quasilinear Hyperbolic Systems and Immortal Viscosity Solutions of the Einstein Cauchy Problem, Part I", To appear in JMAA
- P Smith "Perron's Method for General Quasilinear Hyperbolic Systems and Immortal Viscosity Solutions of the Einstein Cauchy Problem, Part II", To appear in JMAA
- Jerrold E Marsden, Applications of global analysis in mathematical physics ISBN 091409811X.
[edit] External links
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