Korea PDE School #3
Theme of 2013 winter: Regularity theory and PDEs from Fluid and Biology
Place: KAIST, Daejeon, Korea
Dates: 2013.01.07 --2013.01.11

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,

VOD's for 2013 winter are now availble.

2013 PDE School GuideBook / 2013 PDE School Poster / Slides of Prof. Mimura / Slides of Prof. Choe / Lecture note of Prof. Wang / Slides of Prof. H.Kim /

The third Korea PDE school will be held like followings.

Dates: 2013.01.07 - 2013.01.11
Place: KAIST, Daejeon, Korea
Topics: Regularity theory and PDEs from Fluid and Biology
Sponsor: NIMS and KAIST BK21
Registration Period : 2012.10.08 - 2012.11.10

Principal lecturers and topics to be discussed
Choe, Hi Jun (Yonsei University, Korea) on "Navier-Stokes equations"
1. Stokes equations and its potentials. / 2. Solvability of Stokes boundary value problems. / 3. Existence of Navier-Stokes equations. / 4. Regularity questions of Navier-Stokes equations. / 5. CKN (Caffarelli-Kohn-Nirenberg) result and simplification. / 6. Improvement of CKN result / 7. Connection between Navier-Stokes and Euler eqautions

Mimura, Masayasu (Meiji University, Japan) on "Application of reaction-diffusion systems to biological and chemical systems"
1. Prologue: Initiation to reaction-diffusion systems / 2. Consumer-resource systems I: Combustion under microgravity / 3. Consumer-resource systems II: Self-organized patterns in bacterial colonies / 4. Nonlinear-nonequilibrium reaction-diffusion systems: Interaction of traveling pulses and spots / 5. Competition-diffusion systems: competitive exclusion and competitor-mediated coexistence

Wang, Lihe (University of Iowa, USA) on "Regularity theory for elliptic and parabolic equations"
1. Geometric and physical viewpoints of estimates: The geometric and physical meaning of estimates of PDEs are explained. Basic examples are given. / 2. Pointwise estimates: Pointwise Schauder estimates are given for both elliptic and parabolic equations. / 3. Pointwise to global estimates: An universal viewpoints are give about pointwise estimates to global regularity theory. / 4. Integral estimates: L^p estimats is discussed.

Invited Speakers
Bae, Myoungjean (Postech) on "Examples of shock solutions for Euler system"
Kang, Kyung-Keun (Yonsei University) on "Global existence of weak solutions for a Keller-Segel-fluid model with nonlinear diffusion"
Kim, Hyunseok (Sogang University) on "Mathematical analysis of the stationary motion of an incompressible viscous fluid"
Kim, Yong Jung (KAIST) on "Starvation driven diffusion as a survival strategy of biological organisms"
Li, Tong (University of Iowa, USA) on "Global entropy solutions to a quasilinear hyperbolic system modeling blood flow"