Hopf Bifurcation in Two-Component Flow.
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WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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The stability of viscosity-stratified bicomponent flow has been studied by long wave asymptotics, by short wave asymptotics and numerically. These studies have shown that interfacial instabilities arise from the viscosity difference between the two fluids. If the surface tension between the fluids is non-zero, then Hopf type bifurcations leading to traveling interfacial waves are expected. This paper proves a rigorous theorem establishing the existence of bifurcating solutions of this nature. Author
- Numerical Mathematics
- Fluid Mechanics