# 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