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.AP2026
Temporal decay estimates for global solutions of the Navier-Stokes equations with the Coriolis force
Tomoaki Yoshizawa
We consider temporal decay estimates for global solutions of the Navier-Stokes equations with the Coriolis force. We show that under several conditions including the smallness of t…
math.AP2026
Global well-posedness and temporal decay estimates for the viscous -plane equations
Tomoaki Yoshizawa
We consider the Cauchy problem of the viscous -plane equations. We first establish the global well-posedness of the system for the initial data sufficiently small compared to th…