The main objective of the workshop is to bring together mathematicians with interests in the analysis of nonlinear partial differential equations (PDE) and their applications for the purpose of presenting recent developments and exploring new connections between nonlinear PDE and other areas in mathematics and related fields in the sciences. This workshop is a regular joint activity between Kyoto University and CAU (Chung-Ang University).
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| March 29 | March 30 |
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| 9:00 -- 10:00 «Opening» Kyungkeun Kang (Yonsei University) Local regularity of weak solution for the Stokes and Navier-Stokes equations near boundary Hiroyuki Tsurumi (Kyoto University) Existence of the stationary Navier-Stokes flow in $\mathbb{R}^2$ around a radial flow |
9:00 -- 10:00 Shota Sakamoto (Tokyo Institute of Technology) Global solution to the Boltzmann equation without cutoff on the whole space in $(L^1 \cap L^p)_k$ In-Jee Jeong (Seoul National University) On vorticity supported on logarithmic spirals |
| 10:10 -- 11:10 Soonsik Kwon (KAIST) Blow up solutions of radial self-dual Chern-Simons-Schrödinger equations Masaya Maeda (Chiba University) Small energy stabilization for 1D Nonlinear Klein Gordon Equations |
10:10 -- 11:10 Kyudong Choi (UNIST) On vortex stretching for anti-parallel axisymmetric flows Stephen Gustafson (University of British Columbia) Growth rates for some axisymmetric Euler flows |
| 11:20 -- 11:50 Hyunseok Kim (Sogang University) Gagliardo-Nirenberg inequalities in Sobolev-Lorentz spaces and their applications to PDEs |
11:20 -- 12:20 Tatsu-Hiko Miura (Hirosaki University) Nonlinear stability of the two-jet Kolmogorov type flow on the unit sphere under a perturbation with nondissipative part Jihoon Lee (Chung-Ang University) Quasi-geostrophic approximation for the rotating Boussinesq equations with strong stratification |
| 11:50 -- 13:30 «Lunch» |
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| 12:20 -- 14:00 «Lunch» |
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| 13:30 -- 14:30 Yong-Kum Cho (Chung-Ang University) Sturm’s oscillation theory and spirals Sonae Hadama (Kyoto University) Stability of steady states for the Hartree equation for random fields |
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| 14:00 -- 18:00 «Open Discussion» «Closing» |
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| 14:40 -- 15:40 Younghun Hong (Chung-Ang University) The NLS approximation for the nonlinear Klein-Gordon equation Jumpei Kawakami (Kyoto University) Averaging of strong magnetic nonlinear Schrödinger equations in energy space |
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| 15:50 -- 16:50 Yoshihiro Ueda (Kobe University) Analysis of the delay effect for the viscous Burgers equation Moon-Jin Kang (KAIST) Long-time behavior of $H^1$-perturbations from Riemann data for Navier-Stokes-Fourier system |
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| 17:00 -- 18:00 Keisuke Takasao (Kyoto University) On volume preserving mean curvature flow in higher dimensions Jaeyoung Byeon (KAIST) Solvability of the Born-Infeld model for general sources |
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| 19:00 -- 21:00 «Banquet» |
This workshop is partially supported by Japan Society for the Promotion of Science (JSPS), Grants-in-Aid for Scientific Research (KAKENHI): Grant Numbers JP17H02854, JP22H01132 (Kenji Nakanishi), JP20K03678 (Nobu Kishimoto), and JP17H02853 (Yoshio Tsutsumi).