SIAM Journal on Applied Mathematics
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.
Original Publication Citation
Lasseigne, D. G., & Olmstead, W. E. (1990). Stability of a viscoelastic burgers flow. SIAM Journal on Applied Mathematics, 50(2), 352-360. doi:10.1137/0150022
Lasseigne, D. Glenn and Olmstead, W. E., "Stability of a Viscoelastic Burgers Flow" (1990). Mathematics & Statistics Faculty Publications. 33.