Research theme for competitive and other funds (5):
2021 - 2025 Study on variational level set method for evolution of spirals by crystalline curvature flow
2022 - 2024 皮膜への腐食液の浸透の数理
2014 - 2016 複数の界面ダイナミクスの組み合わせで現れる解の不連続化の研究
2010 - 2013 複数の界面ダイナミクスとその組み合わせによる界面の特異的挙動の解析
2005 - 2007 結晶のスパイラル成長を表す数理モデルの研究
Papers (17):
Yoshikazu Giga, Hiroyoshi Mitake, Takeshi Ohtsuka, Hung Tran. Existence of asymptotic speed of solutions to birth and spread type nonlinear partial differential equations. Indiana University Mathematics Journal. 2021. 70. 1. 121-156
Tetsuya Ishiwata, Takeshi Ohtsuka. Numerical analysis of an ODE and a level set methods for evolving spirals by crystalline eikonal-curvature flow. Discrete & Continuous Dynamical Systems - S. 2021. 14. 3. 893-907
T. Ishiwata, T. Ohtsuka. Evolution of spiral-shaped polygonal curve by crystalline curvature flow with a pinned tip. Discrete and Continuous Dynamical Systems Series B. 2019. 24. 10. 5261-5295
T. Ohtsuka. Spatial Lipschitz continuity of viscosity solution to level set equation for evolving spirals by eikonal-curvature flow. Mathematics for Nonlinear Phenomena: Analysis and Computation, Springer Proceedings in Mathematics & Statistics 215. 2017. 241-260
T. Ohtsuka. Minimizing movement approach without using distance function for evolving spirals by the crystalline curvature with driving force. RIMS Kokyuroku No. 2121 Theoretical Developments to Phenomenon Analyses based on Nonlinear Evolution Equations. 2019. 74-87
T. Ohtsuka. Minimizing movement approach for spirals evolving by crystalline curvature using level set functions. Oberwolfach Reports. 2018. 14. 1. 314-317