Takahito Kashiwabara

activity

20102026

most citedGlobal Strong Well-posedness of the Three Dimensional Primitive equations in

L^{p}

-spaces

90 citations · 251 across the 30 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.AP2015★ 4 cited

Strong Time-Periodic Solutions to the 3D Primitive Equations subject to Arbitrary Large Forces

Giovanni P. Galdi, Matthias Hieber, Takahito Kashiwabara

We show that the three-dimensional primitive equations admit a strong time-periodic solution of period $T > 0$ , provided the forcing term $f \in L^{2} (0, T; L^{2} (Ω))$ is a time-p…

math.AP2015★ 90 cited

Global Strong Well-posedness of the Three Dimensional Primitive equations in $L^{p}$ -spaces

Matthias Hieber, Takahito Kashiwabara

In this article, an $L^{p}$ -approach to the primitive equations is developed. In particular, it is shown that the three dimensional primitive equations admit a unique, global strong…

math.NA2015★ 1 cited

Penalty method with P1/P1 finite element approximation for the Stokes equations under slip boundary condition

Takahito Kashiwabara, Issei Oikawa, Guanyu Zhou

We consider the P1/P1 or P1b/P1 finite element approximations to the Stokes equations in a bounded smooth domain subject to the slip boundary condition. A penalty method is applied…

Strong Time-Periodic Solutions to the 3D Primitive Equations subject to Arbitrary Large Forces

Global Strong Well-posedness of the Three Dimensional Primitive equations in Lp-spaces

Penalty method with P1/P1 finite element approximation for the Stokes equations under slip boundary condition

Global Strong Well-posedness of the Three Dimensional Primitive equations in $L^{p}$ -spaces