Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 3 of 3
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.
Best Quasi-Convex Uniform Approximation, S. E. Weinstein, Yuesheng Xu
Best Quasi-Convex Uniform Approximation, S. E. Weinstein, Yuesheng Xu
Mathematics & Statistics Faculty Publications
No abstract provided.
A Characterization Of The Solution Of A Fredholm Integral Equation With L∞ Forcing Term, Hideaki Kaneko, Richard Noren, Yuesheng Xu
A Characterization Of The Solution Of A Fredholm Integral Equation With L∞ Forcing Term, Hideaki Kaneko, Richard Noren, Yuesheng Xu
Mathematics & Statistics Faculty Publications
In this paper we investigate the regularity properties of the Fredholm equation (Formula Presented) . The kernel is the product of the smooth function k and the singular function gα (Formula Presented). The forcing function f is in L∞. We obtain a decomposition of the solution as the sum of two functions—one with a discontinuity reflecting that of the forcing function—and the other a regular function. Our results extend those of C. Schneider [6], who assumes a condition that is stronger than f ∈ C[a, b] ∩ Cm(a,b) (for some integer m). © 1990 …