3 papers
math.AP2026
Lower bounds for the lifespan of solutions to the Euler--Korteweg equations
Haruhiro Kurabe, Ryo Takada, Tomoaki Yoshizawa
We consider the initial value problem for the Euler--Korteweg equations in the class of irrotational flows. In every space dimension , we establish a quantitative lo…
math.AP2025
Increased lifespan for 3D compressible Euler flows with rotation
Haram Ko, Benoit Pausader, Ryo Takada +1
We consider the compressible Euler equation with a Coriolis term and prove a lower bound on the time of existence of solutions in terms of the speed of rotation, sound speed and si…
math.AP2024
Existence of solutions to the fractional semilinear heat equation with a singular inhomogeneous term
Kazuhiro Ishige, Tatsuki Kawakami, Ryo Takada
We study the existence of solutions to the fractional semilinear heat equation with a singular inhomogeneous term. For this aim, we establish decay estimates of the fractional heat…