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.

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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 Sponsor: NIMS, KIAS CMC 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