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Physical Sciences and Mathematics Commons™
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Full-Text Articles in Physical Sciences and Mathematics
Stability Of A Viscoelastic Burgers Flow, D. Glenn Lasseigne, W. E. Olmstead
Stability Of A Viscoelastic Burgers Flow, D. Glenn Lasseigne, W. E. Olmstead
Mathematics & Statistics Faculty Publications
The system of equations proposed by Burgers to model turbulent flow in a channel is extended to include viscoelastic affects. The stability and bifurcation properties are examined in the neighborhood of the critical Reynolds number. For highly elastic fluids, the bifurcated state is periodic with a shift in frequency.
Construction Of The Best Monotone Approximation On Lp [0, 1], J. J. Swetits, S. E. Weinstein
Construction Of The Best Monotone Approximation On Lp [0, 1], J. J. Swetits, S. E. Weinstein
Mathematics & Statistics Faculty Publications
(First paragraph) For 1 ≤ p < ∞, let Lp, denote the Banach space of pth power Lebesgue integrable functions on [0, l] ∥ƒ∥p = (∫¹₀∣ƒ∣ p)1/p Let Mp denote the set of nondecreasing functions in Lp. For l < p < ∞ , each ƒ∊Lp has a unique best approximation from Mp, while, for p = 1, existence of a best approximation from M1 follows from Proposition 4 of [6].