Un of Tenn | Math Department

Seminars and Colloquiums
for the week of January 30, 2012

Speaker:

Mr. Joseph White, Monday
Ms. Boloye Gomero, Monday
Prof. Xia Chen, Monday
Prof. B. G. Kang, POSTECH University, Korea, Monday
Prof. Tuoc Phan, Tuesday
Mr. Shuaibing Luo, Wednesday

If you are interested in giving or arranging a talk for one of our seminars or colloquiums,
please review our calendar.

If you have questions, or a date you would like to confirm, please contact Dr. Judy Day.

Monday, January 30

ORAL SPECIALITY EXAM
TIME: 1:30 p.m.
ROOM: Ayres 404
SPEAKER: Mr. Joseph White
TITLE: Jones' Index for Subfactors
His committee consist of Professors: Nicoara (chair), Richter, and Sundberg.

MATH BIOLOGY SEMINAR
TIME: 2:30 p.m.
ROOM: NIMBioS Classroom
SPEAKER: Ms. Boloye Gomero
TITLE: Introduction to Latin Hypercube Sampling for Parameter Sensitivity

PROBABILITY SEMINAR
TIME: 3:35 – 4:25 p.m.
ROOM: Ayres 122
SPEAKER: Professor Xia Chen
TITLE: Quenched asymptotics for Brownian motion in generalized Gaussian potential - continued.

ALGEBRA SEMINAR
TIME: 3:35 - 4:25 p.m.
ROOM: Ayres B004
SPEAKER: Prof. B. G. Kang, POSTECH University, Korea
TITLE: TBA

Tuesday, January 31

COLLOQUIUM
TIME: 335 - 4:25 p.m.
ROOM: Ayres 405
SPEAKER: Prof. Tuoc Phan
TITLE: NAVIER-STOKES EQUATIONS IN CRITICAL SPACES: EXISTENCE AND STABILITY OF STEADY STATE SOLUTIONS
ABSTRACT: In this talk, I will briefly introduce the Navier-Stokes equations which is the most fundamental equations in fluid mechanics. I then discuss my recent results on the uniqueness existence of solutions to the stationary Navier-Stokes equations with small singular external forces belonging to a critical space. To the best of my knowledge, this is the largest critical space that is currently available for this kind of existence. The stability of the stationary solutions in such spaces is also obtained by a series of sharp estimates for resolvents of a singularly perturbed operator and the corresponding semigroup. Some related results concerning the Cauchy problem for the non-stationary Navier Stokes equations will be also addressed.

The talk is based on the joint work with N. C. Phuc from LSU.

Refreshments will be available in Ayres 401 at 3:00 p.m.

Wednesday, February 1

ANALYSIS SEMINAR
TIME: 3:35 - 4:25 p.m.
ROOM: Ayres 112
SPEAKER: Mr. Shuaibing Luo, UTK
TITLE: Trace estimate of commutators of multiplication operators on function spaces. (continued)
ABSTRACT: I will present the Arveson's conjecture on the Drury-Arveson space, and some analogous results on Bergman space and Hardy space over the d-dimensional complex unit ball(d>2). I will then talk about the Schatten p class, and the estimate of Schatten 2p norm of commutators on Bergman and Hardy spaces.

Past notices:

winter break