MAEKAWA Yasunori

J-GLOBAL         Last updated: Jun 21, 2019 at 14:21
 

Research Areas

 
 

Academic & Professional Experience

 
 
   
 
Associate Professor, Tohoku University Graduate School of Science, Department of Mathematics, Geometry
 

Published Papers

 
Local energy weak solutions for the Navier-Stokes equations in the half-space
Yasunori Maekawa, Hideyuki Miura, and Christophe Prange
Commun. Math. Phys.   367 517-580   2019   [Refereed]
On stationary two-dimensional flows around a fast rotating disk
Isabelle Gallagher, Mitsuo Higaki, and Yasunori Maekawa
Mathematische Nachrichten   292 273-308   2019   [Refereed]
On isomorphism for the space of solenoidal vector fields and its application to the Stokes problem
Yasunori Maekawa, Hideyuki Miura
SIAM Journal on Mathematical Analysis   50 339-353   Jan 2018   [Refereed]
Gevrey stability of Prandtl expansions for 2D Navier-Stokes flows
David Gerard-Varet, Yasunori Maekawa, and Nader Masmoudi
Duke Math. J.   167(13) 2531-2631   2018   [Refereed]
On stationary Navier-Stokes flows around a rotating obstacle in two-dimensions
Mitsuo Higaki, Yasunori Maekawa, Yuu Nakahara
Archive for Rational Mechanics and Analysis   228 603-651   2018   [Refereed]
Yasunori Maekawa, Hideyuki Miura
Manuscripta Mathematica   152 459-512   Mar 2017   [Refereed]
© 2016 Springer-Verlag Berlin HeidelbergWe consider second order uniformly elliptic operators of divergence form in (Formula presented.) whose coefficients are independent of one variable. For such a class of operators we establish a factorization...
Remark on stability of scale-critical stationary flows in a two-dimensional exterior disk
Yasunori Maekawa
Mathematics for Nonlinear Phenomena: Analysis and Computation - In Honor of Yoshikazu Giga's 60th Birthday, Springer Proceedings in Mathematics & Statistics   215 105-130   2017   [Refereed]
Maximal regularity of the time-periodic Stokes operator on unbounded and bounded domains
Yasunori Maekawa, Jonas Sauer
Journal of the Mathematical Society of Japan   69 1403-1429   2017   [Refereed]
On the two-dimensional steady Navier- Stokes equations related to flows around a rotating obstacle
Mitsuo Higaki, Yasunori Maekawa, Yuu Nakahara
“Workshop on the Boltzmann Equation, Microlocal Analysis and Related Topics”. RIMS Kokyuroku Bessatsu   B67 107-122   2017   [Refereed]
On stability of steady circular flows in a two-dimensional exterior disk
Yasunori Maekawa
Archive for Rational Mechanics and Analysis   225 287-374   2017   [Refereed]
Yasunori Maekawa, Hideyuki Miura
Transactions of the American Mathematical Society   368(9) 6227-6252   Jan 2016   [Refereed]
© 2015 American Mathematical Society.We consider second order uniformly elliptic operators of divergence form in Rd+1 whose coefficients are independent of one variable. Under the Lipschitz condition on the coefficients we characterize the domain ...
Humiya Kosaka, Yasunori Maekawa
Advances in Mathematical Fluid Mechanics, Recent Development of Mathematical Fluid Mechanics   351-374   Jan 2016   [Refereed]
© Springer Basel 2016.In this paper we study the vorticity equations for viscous incompressible flows in the half space under the no-slip boundary condition on the velocity field. In particular, the boundary condition for the vorticity field is pr...
Thierry Gallay, Yasunori Maekawa
Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, Springer International Publishing Switzerland 2016      2016   [Refereed]
Yasunori Maekawa, Anna Mazzucato
Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, Springer International Publishing Switzerland 2016      2016   [Refereed]
Yasunori Maekawa
Analysis   35(4) 245-257   Jan 2015   [Refereed]
© 2015 by De Gruyter 2015.In this paper we prove the asymptotic stability of small global solutions in the weak L2 space for the two-dimensional Navier-Stokes equations under a natural functional setting for the class of perturbations. Our result ...
Asymptotic profile of solutions to a hyperbolic Cahn-Hilliard equation
Hiroshi Takeda, Yasunori Maekawa, Shuichi Kawashima
Bulletin of the Institute of Mathematics, Academia Sinica   10 479-539   2015   [Refereed]
Remark on Tex-semigroups with scaling invariance
Yasunori Maekawa
Nonlinear Dynamics in Partial Differential Equations, ASPM 64   337-345   2015   [Refereed]
Yoshikazu Giga, Pen Yuan Hsu, Yasunori Maekawa
Communications in Partial Differential Equations   39(10) 1906-1935   Jan 2014   [Refereed]
We establish a Liouville type result for a backward global solution to the Navier-Stokes equations in the half plane with the no-slip boundary condition. No assumptions on spatial decay for the vorticity nor the velocity field are imposed. We stud...
Yasunori Maekawa, Hideyuki Miura
Mathematische Annalen   359(3-4) 1077-1095   Jan 2014   [Refereed]
Let Ω be a domain in ℝd+1 whose boundary is given as a uniform Lipschitz graph xd+1=η(x) for x ∈ ℝd. For such a domain, it is known that the Helmholtz decomposition is not always valid in Lp(Ω) except for the energy space L2(Ω). In this paper we s...
Yasunori Maekawa
Communications on Pure and Applied Mathematics   67(7) 1045-1128   Jan 2014   [Refereed]
We consider the Navier-Stokes equations for viscous incompressible flows in the half-plane under the no-slip boundary condition. By using the vorticity formulation we prove the local-in-time convergence of the Navier-Stokes flows to the Euler flow...
Thierry Gallay, Yasunori Maekawa
Analysis and PDE   6(4) 973-991   Dec 2013   [Refereed]
We consider the incompressible Navier-Stokes equations in a two-dimensional exterior domain Ω, with no-slip boundary conditions. Our initial data are of the form u0 = αΘ0 + v0, where Θ0 is the Oseen vortex with unit circulation at infinity and v0 ...
Yasunori Maekawa, Hideyuki Miura
Advances in Mathematics   247 123-191   Nov 2013   [Refereed]
We are concerned with non-local parabolic equations in the presence of a divergence free drift term. By using the classical Nash approach, we show the existence of fundamental solutions together with continuity estimates, under weak regularity ass...
Yasunori Maekawa
Advances in Differential Equations   18 101-146   Sep 2013   [Refereed]
We consider the Navier-Stokes equations for viscous incompressible ows in the half plane under the no-slip boundary condition. In this paper we first establish a solution formula for the vorticity equations through the appropriate vorticity formul...
Pen-Yuan Hsu, Yasunori Maekawa
Journal of Mathematical Fluid Mechanics   15(2) 317-333   2013   [Refereed]
Yasunori Maekawa, Hideyuki Miura
Journal of Functional Analysis   264(10) 2245-2268   2013   [Refereed]
Yoshiyuki Kagei, Yasunori Maekawa
Journal of Differential Equations   253(11) 2951-2992   2012   [Refereed]
Recent developments in the mathematical analysis of the Burgers vortex
Yasunori Maekawa
Gakuto International Series, Mathematical Sciences and Applications   35 103-115   2012
Yasunori Maekawa
Z. Angew. Math. Phys.   62(1) 1-30   2011   [Refereed]
Yasunori Maekawa
Journal of Mathematical Fluid Mechanics   13(4) 515-532   2011   [Refereed]
Yoshiyuki Kagei, Yasunori Maekawa
Journal of Functional Analysis   260(10) 3036-3096   2011   [Refereed]
Thierry Gallay, Yasunori Maekawa
Communications in Mathematical Physics   302(2) 477-511   2011   [Refereed]
Yasunori Maekawa
Journal of Mathematical Analysis and Applications   349(1) 181-200   2009   [Refereed]
Yasunori Maekawa
Mathematical Models and Methods in Applied Sciences   19(5) 669-705   2009   [Refereed]
Yasunori Maekawa
Archive for Rational Mechanics and Analysis   189(1) 45-58   2008   [Refereed]
Yasunori Maekawa
Journal of Mathematical Fluid Mechanics   10(1) 89-105   2008   [Refereed]
On a free boundary problem of viscous incompressible flows
Yasunori Maekawa
Interfaces and Free Boundaries   9 549-589   2007   [Refereed]
The Navier-Stokes equations with initial data in uniformly local spaces
Yasunori Maekawa, Yutaka Terasawa
Differential Integral Equations   19 369-400   2006   [Refereed]

Conference Activities & Talks

 
On Finn’s starting problem for the two-dimensional Navier-Stokes flow [Invited]
Yasunori Maekawa
Maximal regularity and nonlinear PDE   Mar 2019   
Navier-Stokes方程式における非粘性極限問題とPrandtl 境界層展開 [Invited]
MAEKAWA Yasunori
2019年度日本数学会年会   Mar 2019   
Stability of the shear boundary layer in the inviscid limit for the Navier-Stokes flow [Invited]
Yasunori Maekawa
Workshop on Theory of Boundary Layers and Related Topics   Dec 2018   
On inviscid limit around shear boundary layers for the steady Navier-Stokes equations [Invited]
Yasunori Maekawa
RIMS workshop: Mathematical Analysis in Fluid and Gas Dynamics   Jul 2018   
Axisymmetrization and boundary layer of the two-dimensional exterior flow around a fast rotating disk [Invited]
Yasunori Maekawa
Workshop on Hyperbolic and Dispersive PDEs in Fukuoka, Kyushu University, Fukuoka   10 Feb 2018   
On stability of shear flows with high Reynolds number [Invited]
MAEKAWA Yasunori
PDE Seminar at Nara Wemen University   7 Feb 2018   
On stability of some nearly inviscid flows [Invited]
Yasunori Maekawa
The 35th Kyushu Symposium on PDEs   29 Jan 2018   
On stability of blow-up solutions for the three-dimensional Navier-Stokes equations with a linear axisymmetric strain [Invited]
MAEKAWA Yasunori
Osaka Satation Seminar   26 Jan 2018   
On axisymmetrization and boundary layer in the two-dimensional exterior flow around a fast rotating obstacle, HMAセミナー・冬の研究会2018,広島大学,広島,2018.1.19. [Invited]
MAEKAWA Yasunori
HMAセミナー・冬の研究会2018,広島大学,広島   19 Jan 2018   
On stationary two-dimensional flows around a fast rotating disk [Invited]
Yasunori Maekawa
International Workshop on the Multi-phase Flow; Analysis, Modeling and Numerics. Waseda University, 東京   28 Nov 2017   
On the Prandtl boundary layer expansion in a Gevrey class [Invited]
Yasunori Maekawa
Fluids,Dispersion and Blow-up. IHP, Paris, France   13 Oct 2017   
On the stability of the physically reasonable solution to the two-dimensional Navier-Stokes equations [Invited]
Yasunori Maekawa
Seminaire du Laboratoire Jacques-Louis Lions. Paris 6, France   16 Jun 2017   
On stability of physically reasonable solutions to the Navier-Stokes equations in a two-dimensional exterior domain [Invited]
Yasunori Maekawa
Analysis Seminar. Max Planck Institute, Leipzig, Germany   13 Jun 2017   
On Prandtl expansion for the Navier-Stokes flows in the half plane [Invited]
Yasunori Maekawa
MFO Workshop: Geophysical Fluid Dynamics. Oberwolfach, Germany   8 May 2017   
On stability of physically reasonable solutions to the Navier-Stokes equations in a two-dimensional exterior domain [Invited]
Yasunori Maekawa
Analysis Seminar. Cergy University, France   24 Apr 2017   
On some stability results for two-dimensional exterior flows [Invited]
Yasunori Maekawa
International Workshop on the Multi-Phase Flow; Analysis, Modeling and Numerics, Waseda University   7 Nov 2016   
On Prandtl expansion in the inviscid limit for the Navier-Stokes flows in Gevrey class [Invited]
Yasunori Maekawa
The 14th Linear and Nonlinear Waves   2 Nov 2016   
Gevrey stability of Prandtl expansion for the Navier-Stokes flows in the half plane [Invited]
Yasunori Maekawa
7th Euro-Japanese Workshop on Blow Up, Banach center (Bedlewo, Poland)   5 Sep 2016   
On Prandtl expansion for the Navier-Stokes flows in the half plane
Yasunori Maekawa
RIMS workshop: Mathematical Analysis in Fluid and Gas Dynamics, RIMS   6 Jul 2016   
On the stability of Prandtl expansion II [Invited]
Yasunori Maekawa
Recent Advances in Hydrodynamics, Banff International Research Station for Mathematical Innovation and Discovery   5 Jun 2016   

Association Memberships