[Invited talk] Green’s functions and Well-posedness of Compressible Navier-Stokes equation

There will be an invited talk.

Title: Green’s functions and Well-posedness of Compressible Navier-Stokes equation
Speaker: Prof. Shih-Hsien Yu (National University of Singapore)
Time: 2018 November 13th, 4:00pm~5:00pm
Place: 27-220
Abstract:
A class of decomposition of Green’s functions for the compressilbe Navier-Stokes linearized around a constant state is introduced. The singular structures of the Green’s functions are developed as essential devices to use the nonlinearity directly to covert the 2nd order quasi-linear PDE into a system of zero-th order integral equation with regular integral kernels. The system of integrable equations allows a wider class of functions such as BV solutions. We have shown global existence and well-posedness of the compressible Navier-Stokes equation for isentropic gas with the gas constant γ∈(0,e) in the Lagrangian coordinate for the class of the BV functions and point wise L∞ around a constant state; and the
underline pointwise structure of the solutions is constructed. It is also shown that for the class of BV solution the solution is at most piecewise C2-solution even though the initial data is piecewise C^infty.

[Invited talk] Self-Organized Hydrodynamic models for nematic alignment and the application to myxobacteria

There will be an invited talk.

Title: Self-Organized Hydrodynamic models for nematic alignment and the application to myxobacteria
Speaker: Prof. Hui Yu (Tsinghua University)
Time: 2018 November 1st, 11:00am~11:50am
Place: 27-220
Abstract:
A continuum model for a population of self-propelled particles interacting through nematic alignment is derived from an individual-based model. The methodology consists of introducing a hydrodynamic scaling of the corresponding mean field kinetic equation. The resulting perturbation problem is solved thanks to the concept of generalized collision invariants. It yields a hyperbolic but nonconservative system of equations for the nematic mean direction of the flow and the densities of particles flowing parallel or antiparallel to this mean direction. An application to myxobacteria is presented.

HYKE Weekly Seminar

The following is the information for our weekly seminar in this semester.

Date : September 28th, 2018 ~ (every Friday)
Time: 09:00 ~ 12:00
Place: 27-116
Text: “Deep Learning” by Ian Goodfellow, Yoshua Bengio and Aaron Courville

Schedule for presentations

Chapter 4. Woojoo Shim
Chapter 5. Doheon Kim, Dohyun Kim
Chapter 6. Hansol Park
Chapter 7. Jaeseung Lee, Yinglong Zhang
Chapter 8. Weiyuan Zou
Chapter 9. Bora Moon, Jeongho Kim
Chapter 10. Jinwook Jung

If you want to join our seminar, please contact Woojoo Shim: cosmo.shim@gmail.com

Graduation ceremony

The graduation ceremony for people who graduate this semester was held on June 8th, 2018.

Although official graduation ceremony was scheduled to be August, 2018, we held our own ceremony earlier due to other team members’ schedule.

Our team members, Jaeseung Lee and Chanho Min received Ph.D degree, and Inyoung Sung received Master’s degree.

HYKE Weekly Seminar

The following is the information about our weekly seminar for the rest of this semester.

Date : May 8th, 2018 ~ (every Tuesday)
Time: 09:00 ~ 11:00
Place: 27-325
Text: “Linear Models in Statistics” by Alvin C. Rencher and G. Bruce Schaalje

If you want to join our seminar, please contact Woojoo Shim. cosmo.shim [at] gmail [dot] com