Korea PDE School #5
Theme of 2015 winter: Mathematical theory of kinetic and fluid equations
Place: NIMS, Daejeon, Korea
Dates: 2015.02.09. ~ 2015.02.13.

School Information
1. Home
2. Registration
3. Schedule
4. Participants
5. Accommodation
6. Directions
7. Lecture Room
8. Organizers-Contacts

earlier winter schools
2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020,

winter school posters
2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020,

winter school VODs
2011, 2012, 2013,

2015 PDE School Poster / PDE School General Information (En /Kr)
Abstracts : Ha, Seung-Yeal / Bae, Myoungjean / Yong-Kum Cho / Sunho Choi /
Doyoon Kim / Bongsuk Kwon / Ho Lee / Kyungwoo Song / Seok-Bae Yun /

The 5th Korea PDE school will be held as follows.
Dates: 2015.02.09. ~ 2015.02.13.
Place: NIMS, Daejeon, Korea
Topics: Mathematical theory of kinetic and fluid equations
Registration Period : 2014.12.01 - 2015.01.15

Principal lecturers and lecture topics
Seung-Yeal Ha (Seoul National University) will give 5 lectures on "Introduction to mathematical theory of kinetic equations" (lecture notes #1, #2, #3, #4, #5)
Lecture 1: Where do kinetic equations come from and why do we need to study ?
Lecture 2, 3: Basics of the Boltzmann equation
Lecture 4: From the Boltzmann equation to fluid equations
Lecture 5: Basics of the mean-field kinetic equations

Myoungjean Bae (POSTECH) will give 5 lectures on "Free Boundary Problem with Mixed type PDE: Transonic shocks" (lecture note)
Lecture 1. Introduction - Euler system for compressible flow / Derivation of Rankine-Hugoniot conditions / One dimensional transonic shock solution
Lecture 2. Normal shock in a rectangular domain / Potential flow / Hyperbolic-elliptic mixed type nonlinear PDE / Derivation of a free boundary problem
Lecture 3. Supersonic solution (Quick review on hyperbolic PDE)
Lecture 4. Subsonic solution (Quick review on Elliptic PDE)
Lecture 5. How to solve a transonic shock problem? (Open problems)

Invited speakers and talk titles
Yong-Kum Cho (Chung-Ang U) Infinite Energy Solutions of the Boltzmann Equation: Recent Developments
Sunho Choi (KAIST) Scattering and Modified scattering of the Vlasov-Poisson system
Doyoon Kim (Kyung Hee U) Elliptic and parabolic equations in Sobolev spaces
Bongsuk Kwon (UNIST) A brief review of shock and rarefaction waves in hyperbolic conservation laws
Ho Lee (Kyung Hee U) Global properties of solutions to the Einstein-Boltzmann system with Bianchi I symmetry
Kyungwoo Song (Kyung Hee U) Semi-hyperbolic patches and sonic lines of two-dimensional Riemann problems of Conservation laws
Seok-Bae Yun (Sung Kyun Kwan U) An introduction to BGK models