Sawada Okihiro

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Name
Sawada Okihiro
Affiliation
Gifu University
Section
Faculty of Engineering
Research funding number
80451433

Profile

Mathematical Analysis of Fluid Dynamics

Research Areas

 
 

Published Papers

 
Term-wise estimates for the norm inflation solutions to the Navier-Stokes equations
SAWADA, Okihiro
   [Refereed]
A description of Bourgain-Pavlovic's ill-posedness theorem of the Navier-Stokes equations in the critical Besov space
SAWADA, Okihiro
   [Refereed]
Mild solutions to the Navier-Stokes equations in unbounded domains withunbounded boundary
SAWADA, Okihiro

Misc

 
Okihiro Sawada, Yasushi Taniuchi
Journal of Mathematical Fluid Mechanics   9 533-542
A single-exponential growth estimate of the solutions to the 2-dimensional Navier-Stokes equations in the whole space for nondecaying initial velocity is established. The crucial idea is to decompose velocity into high and low frequency parts. Mor...
Okihiro Sawada
Hokkaido Mathematical Journal   43 201-208   Jan 2014
The Navier-Stokes equations with bounded initial data admit unique local-in-time smooth mild solutions. It is shown that the solution can be extended globally-in-time, if the initial velocity has a special structure. Thanks to the structure, the a...
Okihiro Sawada
Discrete and Continuous Dynamical Systems - Series S   6 1409-1415   Oct 2013
The Cauchy problem of the Euler equations is considered with initial data with possibly less regularity. The time-local existence and the uniqueness of strong solutions were established by Pak-Park, when the initial velocity is in the Besov space ...
Okihiro Sawada
Journal of Mathematical Analysis and Applications   312 1-13   Dec 2005
On this paper spatial analyticity of solutions to the nonstationary incompressive Navier-Stokes flow in Ḣn/2-1 (ℝRn) is established. The proof is based on the estimates for the higher order derivatives of solutions. These estimates imply not only ...
Okihiro Sawada, Ryo Takada
Journal of Functional Analysis   260 2148-2162   Apr 2011
The Cauchy problem of the Euler equations in the whole space is considered with non-decaying initial velocity in the frame work of B∞,1 1. It is proved that if the initial velocity is real analytic then the solution is also real analytic in spatia...

Conference Activities & Talks

 
Analytic rates of solutions to the Euler equations [Invited]
SAWADA, Okihiro
Vorticity, Rotation and Symmetry (II) - Regularity of Fluid Motion   May 2011   Reinhard Farwig et al.
A description of Bourgain-Pavlovi´c’s ill-posedness theorem of the Navier-Stokes equations in the critical Besov space [Invited]
SAWADA, Okihiro
Harmonic Analysis and Nonlinear Partial Differential Equations   Jul 2011   Mitsuru Sugimoto
Mild solutions to the Navier-Stokes equations in unbounded domains with unbounded boundary [Invited]
SAWADA, Okihiro
Mathematical Analysis in Fluid and Gas Dynamics   Jul 2011   Takayuki Kobayashi
On the term-wise estimates for the norm-inflation solution of the Navier-Stokes flows [Invited]
SAWADA, Okihiro
The 36th Sapporo Symposium on Partial Differential Equations   Aug 2011   Tohru Ozawa et al.
On the term-wise estimates for the norm-inflation solution of the Navier-Stokes flows
SAWADA, Okihiro
Summer School Partial Differential Equations   Sep 2011   Matthias Hieber et al.

Association Memberships

 
 

Research Grants & Projects

 
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(研究活動スタート支援)
Project Year: 2011 - 2012    Investigator(s): Okihiro SAWADA
We study the mathematical analysis of the spin-coat model withthe heat convection. We propose the suitable model, and proved the local existence and uniqueness of mild solutions to the rotating Navier-Stokes equations coupled with the heat transpo...
Mathematical Analysis of spin-coat
Japan Society for the Promotion of Science: Grants-in-Aid for Scientific Research
Project Year: Aug 2011 - Mar 2013
Mathematical Anaysis for fluid dynamics model of spin-coat
Japan Society for the Promotion of Science: Grants-in-Aid for Scientific Research
Project Year: 2014 - 2016