1.4k citations · 1.4k across the 7 of their papers we have counts for
7 papers
Forced Rapidly Dissipative Navier--Stokes Flows
Lorenzo Brandolese, Takahiro Okabe
We show that, by acting on a finite number of parameters of a compactly supported control force, we can increase the energy dissipation rate of any small solution of the Navier--St…
Helmholtz-Weyl decomposition on a time dependent domain for time periodic Navier-Stokes flows with large flux
Haru Kanno, Takahiro Okabe, Erika Ushikoshi
We consider the Helmholtz-Weyl decomposition on a time dependent bounded domain in . Especially, we investigate the domain dependence of each component in the…
Annihilation of slowly-decaying terms of Navier-Stokes flows by external forcing
Lorenzo Brandolese, Takahiro Okabe
The goal of this paper is to provide an algorithm that, for any sufficiently localised, divergence-free small initial data, explicitly constructs a localised external force leading…
Remark on the strong solvability of the Navier-Stokes equations in the weak space
Takahiro Okabe, Yohei Tsutsui
The initial value problem of the incompressible Navier-Stokes equations with non-zero forces in is investigated. Even though the Stokes semigroup is no…
Asymptotic stability of the stationary Navier-Stokes flows in Besov spaces
Jayson Cunanan, Takahiro Okabe, Yohei Tsutsui
We discuss the asymptotic stability of stationary solutions to the incompressible Navier-Stokes equations on the whole space in Besov spaces with positive smoothness and low integr…
Kinetically Driven Quintessence
Takeshi Chiba, Takahiro Okabe, Masahide Yamaguchi
Recently, a novel class of models for inflation has been found in which the inflationary dynamics is driven solely by (non-canonical) kinetic terms rather than by potential terms.…
Formation of multiple winding topological defects in the early universe
Takahiro Okabe, Michiyasu Nagasawa
The formation probability of multiple winding topological defects is calculated by phase and flux distribution analysis based on the Kibble mechanism. The core size of defects is t…