2023 Winter Workshop on Mathematical Analysis of Fluids

This workshop aims to gather experts in mathematical fluid dynamics and encourage fruitful discussion as well as potential collaborations among the participants. Topics include, but are not limited to, long time dynamics of fluid equations, singularity formation, inviscid limit, and dynamics of special solutions.

Date & Venue

Date : Jan 30 (Mon) ~ Feb 2 (Thurs), 2023

Venue : Park Hyatt Busan (hotel)

The organizers already booked (and will pay for) hotel rooms for all the invited speakers at Park Hyatt Busan (hotel). So if you are one of the speakers, then please do not make a separate reservation at the hotel.

The closest airport to the hotel is the Gimhae International Airport(PUS) - 25 km (16.7 miles), about 45 minutes by taxi. The taxi fare is around 30,000 Korean won. Taxis generally accept credit cards as well as cash.

Invited Speakers

ABE, Ken(Osaka Metropolitan University)

BAE, Hantaek (UNIST)

CHAE, Dongho (Chung-Ang University)

CHOI, Young-Pil (Yonsei University)

KAGEI, Yoshiyuki (Tokyo Institute of Technology)

KANG, Kyeongkeun (Yonsei University)

KIM, Sun-Chul (Chung-Ang University)

LEE, Jihoon (Chung-Ang University)

MIURA, Hideyuki (Tokyo Institute of Technology)

SUZUKI, Masahiro (Nagoya Institute of Technology)

YONEDA, Tsuyoshi (Hitotsubashi University)

Program & Abstract

Schedule (tentative)

All events take place in Park Hyatt Busan, Drawing Room (32F), unless otherwise specified.

Jan 30(Mon)

2:00 pm ~ 2:30 pm: Reception

2:30 pm ~ 4:00 pm: Free discussion and Check-in

Afternoon session chair: Kyudong Choi(UNIST)

4:00 pm ~ 5:00 pm: Hantaek Bae, Mathematical Analysis of Active models

5:00 pm ~ : Dinner (location TBD)

Jan 31(Tue)

Morning session chair: Hantaek Bae(UNIST)

9:30 am ~ 10:30 am : Masahiro Suzuki, Stability and instability of plasma boundary layers

11:00 am ~ 12:00 pm : Dongho Chae, Some problems in the mathematical fluid mechanics

12:00 pm ~ 1:30 pm: Lunch at Park Hyatt

Afternoon session I chair: Masahiro Suzuki(Nagoya Institute of Technology)

1:30 pm ~ 2:30 pm: Yoshiyuki Kagei, Stability of the compressible Taylor vortices under axisymmetric perturbations

3:00 pm ~ 4:00 pm: Jihoon Lee, The quasi-geostrophic approximation for rotating stratified fluids

4:00 pm Group photo I

Afternoon session II chair: In-Jee Jeong (SNU)

4:30 pm ~ 5:30 pm : Tsuyoshi Yoneda, Mathematical reformulation of the Kolmogorov-Richardson energy cascade in terms of vortex stretching and related topics

6:00 pm ~ : Dinner (location TBD)

Feb 1(Wed)

Morning session chair: Tsuyoshi Yoneda(Hitotsubashi University)

9:30 am ~ 10:30 am : Young-Pil Choi, Critical thresholds in pressureless Euler-Poisson equations: a new method based on Lyapunov functions

11:00 am ~ 12:00 pm : Miura Hideyuki, Local regularity conditions on initial data for local energy solutions of the Navier-Stokes equations

12:00 pm ~ 1:30 pm: Lunch at Park Hyatt

Afternoon session I chair: Young-Pil Choi (Yonsei University)

1:30 pm ~ 2:30 pm: Sun-Chul Kim, Stability and evolution of vortex patch on a rotating sphere

3:00 pm ~ 4:00 pm: Ken Abe, Stability of Chandrasekhar's nonlinear force-free fields

4:00 pm Group photo II

Afternoon session II chair: Bongsuk Kwon (UNIST)

4:30 pm ~ 5:30 pm : Kyungkeun Kang, Singular weak solutions of the Stokes system and Navier-Stokes equations near boundary

6:00 pm ~ : Banquet at Park Hyatt

Feb 2(Thur)

9:30 am ~ 10:30 am : Contributed talk(20mins each) I, II

11:00 am ~ 12:00 pm : Contributed talk III, IV

12:00 pm ~ 1:30 pm: Lunch at Park Hyatt

1:30 pm ~ : Free discussion

Participants

Moonjin Kang(KAIST), Jinmyeong Seok(SNU), Junha Kim(KIAS), Tania Biswas (UNIST),

Min Jun Jo(UBC), Deokwoo Lim(UNIST), Habin Yim(CAU), Dowan Koo(Yonsei Univ.)