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, |
Abstracts : Ha, Seung-Yeal / Bae, Myoungjean / Yong-Kum Cho / Sunho Choi / Doyoon Kim / Bongsuk Kwon / Ho Lee / Kyungwoo Song / Seok-Bae Yun /
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 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 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 |