Math colloquium of Saleh Tanveer, Department of Mathematics, The Ohio State University
Event Type:
Colloquium
Speaker:
Saleh Tanveer, Department of Mathematics, The Ohio State University
Event Date:
Thursday, April 6, 2023 -
3:30pm to 4:30pm
Location:
SMLC 356
Audience:
General PublicFaculty/StaffStudentsAlumni/Friends
Sponsor/s:
Pavel Lushnikov
Event Description:
Title: Singular effects of small slip in a two fluid problem
Abstract
There are many examples in modeling physical phenomenon where apparently small
effects cannot be ignored. For instance in fluid dynamics, it is well known that
viscous effects cannot be ignored regardless of how small the viscosity (or large
Reynolds number) is. In viscous fingering where a less viscous fluid displaces
a more viscous fluid, singular effects of surface tension has also been
well-documented.
We consider a model for inviscid two-fluid shear flow model and consider
the effect of slip at the interface between two fluids. Previous studies have
shown that introduction of certain types of polymers in experiment appear to
induce slip.
It is found that arbitrarily small interfacial slip has the singular effect of
destabilizing an otherwise highly stable two fluid configuration of Yih,'67.
Global existence and uniqueness of solution to the initial value problem
and existence of steady traveling waves and their linear stability properties
have also been explored.
Bio: Prof. Tanveer his Ph.D from Caltech in 1984. Has been a Professor of Mathematics at The Ohio State University. Has wide interest in both theoretical and applied aspects of physical problems, principally of those arising in fluids. He is specifically interested in singular perturbation problems.
Event Contact
Contact Name: Pavel Lushnikov
