@book{CTT100874598, author = {Takeshi Gotoda and Takashi Sakajo}, title = {Mathematical Fluid Dynamics, Present and Future}, publisher = {}, year = 2016, } @article{CTT100908479, author = {Takeshi Gotoda}, title = {Energy conservation in the limit of filtered solutions for the 2D Euler equations}, journal = {Nonlinearity}, year = 2022, } @article{CTT100874590, author = {Takeshi Gotoda}, title = {Self-similar Motions and Related Relative Equilibria in the N-point Vortex System}, journal = {Journal of Dynamics and Differential Equations}, year = 2021, } @article{CTT100874591, author = {Kota Ohno and Yasuaki Kobayashi and Masaaki Uesaka and Takeshi Gotoda and Mitsuhiro Denda and Hideyuki Kosumi and Mika Watanabe and Ken Natsuga and Masaharu Nagayama}, title = {A computational model of the epidermis with the deformable dermis and its application to skin diseases}, journal = {Scientific Reports}, year = 2021, } @article{CTT100874592, author = {Mamoru Okamoto and Takeshi Gotoda and Masaharu Nagayama}, title = {Global existence of a unique solution and a bimodal travelling wave solution for the 1D particle-reaction-diffusion system}, journal = {Journal of Physics Communications}, year = 2021, } @article{CTT100874593, author = {Takeshi Gotoda}, title = {Convergence of filtered weak solutions to the 2D Euler equations with measure-valued vorticity}, journal = {Journal of Evolution Equations}, year = 2020, } @article{CTT100874594, author = {Mamoru Okamoto and Takeshi Gotoda and Masaharu Nagayama}, title = {Existence and non-existence of asymmetrically rotating solutions to a mathematical model of self-propelled motion}, journal = {Japan Journal of Industrial and Applied Mathematics}, year = 2020, } @article{CTT100874595, author = {Takeshi Gotoda and Takashi Sakajo}, title = {Universality of the Anomalous Enstrophy Dissipation at the Collapse of Three Point Vortices on Euler--Poincaré Models}, journal = {SIAM Journal on Applied Mathematics}, year = 2018, } @article{CTT100874596, author = {Takeshi Gotoda}, title = {Global solvability for two-dimensional filtered Euler equations with measure valued initial vorticity}, journal = {Differential and Integral Equations}, year = 2018, } @article{CTT100874597, author = {Takeshi Gotoda and Takashi Sakajo}, title = {Distributional Enstrophy Dissipation Via the Collapse of Three Point Vortices}, journal = {Journal of Nonlinear Science}, year = 2016, }