研究キーワード (1件):
viscosity solutions, free boundary problems, crystalline mean curvature flow, porous medium equation, Hele-Shaw problem, Stefan problem
競争的資金等の研究課題 (2件):
2020 - 2025 エネルギー勾配流の新潮流:数学理論が開く多様な現象と応用の世界
2014 - 2018 Viscosity methods in homogenization of nonlinear PDEs
論文 (18件):
Patrick van Meurs, Mark A. Peletier, Norbert Požár. Discrete-to-Continuum Convergence of Charged Particles in 1D with Annihilation. Archive for Rational Mechanics and Analysis. 2022. 1-57
Yoshikazu Giga, Norbert Požár. Motion by crystalline-like mean curvature: A survey. Bulletin of Mathematical Sciences. 2022. 12. 02. 1-68
Inwon Kim, Dohyun Kwon, Norbert Požár. On volume-preserving crystalline mean curvature flow. Mathematische Annalen. 2021. 384. 1-2. 1-42
Yoshikazu Giga, Norbert Požár. Viscosity solutions for the crystalline mean curvature flow with a nonuniform driving force term. SN Partial Differential Equations and Applications. 2020. 1. 6. 1-26
Inwon Kim, Norbert Pozar, Brent Woodhouse. Singular limit of the porous medium equation with a drift. ADVANCES IN MATHEMATICS. 2019. 349. 682-732