• Minus one homogeneous Euler flows are geodesible 

with N. Sato and C. Xie 

arXiv

• Existence and stability of Sadovskii vortices: from patch to smooth vortices 

with K. Choi, I.-J. Jeong, Y.-J. Sim, and K. Woo  

arXiv

• Homogeneous steady states for the generalized surface quasi-geostrophic equations 

       with J. Gomez-Serrano and I.-J. Jeong

arXiv

• Stability of Lamb dipoles for odd-symmetric and non-negative initial disturbances without finite mass condition 

with K. Choi and I. J. Jeong

arXiv

• Stability for multiple Lamb dipoles 

with I.-J. Jeong and Y. Yao

arXiv

Publications

• Topological invariants in higher-dimensional magnetohydrodynamics 

Nonlinearity, 39, (2026), 055017

with N. Sato and M. Yamada

Journal arXiv

• MHS equilibria in the non-resistive limit to the randomly forced resistive magnetic relaxation equations

Annals of PDE, 12,  2 (2026) 

with I.-J. Jeong, F. Pasqualotto, and N. Sato

      Journal arXiv   

• Stability of force-free fields in weak ideal limits of Leray--Hopf solutions I: Linear force-free fields

Nonlinear Analysis: Real World Applications, 90, (2026), 104576

       Journal

• Stationary self-similar profiles for the two-dimensional inviscid Boussinesq equations

Arch. Rational Mech. Anal., 250, (2026), 41 

with D. Ginsberg and I.-J. Jeong 

Journal arXiv

• Existence of homogeneous Euler flows of degree −α∉[−2,0] 

       Arch. Rational Mech. Anal., 248, (2024), 30 

Journal arXiv

• Stability of force-free fields in weak ideal limits of Leray--Hopf solutions II: Nonlinear force-free fields 

Commun. Math. Phys., 407, (2026), 90  

Journal arXiv

• Rigidity of Beltrami fields with a non-constant proportionality factor 

J. Math. Phys.,  63, (2022) 041507

Journal arXiv

• Stability of Lamb dipoles 

Arch. Rational Mech. Anal., 244, (2022) 877–917

with K. Choi

Journal arXiv

• Existence of vortex rings in Beltrami flows 

Commun. Math. Phys., 391, (2022) 873--899

Journal arXiv

• On the large time L^{infty}-estimates of the Stokes semigroup in two-dimensional exterior domains

J. Differ. Equ.,  300 (2021), 337–355

Journal arXiv

• The vorticity equations in a half plane with measures as initial data

Ann. Inst. H. Poincare Anal. Non Lineaire, 38 (2021), 1055-1094

Journal arXiv

• Vanishing viscosity limits for axisymmetric flows with boundary

J. Math. Pures Appl., 137 (2020), 1--32

Journal arXiv

• Liouville theorems for the Stokes equations with applications to large time estimates

J. Funct. Anal., 278 (2020), 108321

Journal arXiv

• The Navier-Stokes equations with the Neumann boundary condition in an infinite cylinder

Manuscripta Math., 160, (2019), 359--383

Journal arXiv

• Axisymmetric flows in the exterior of a cylinder 

Proc. Roy. Soc. Edinburgh Sect. A, 150 (2020), 1671--1698

with G. Seregin

Journal arXiv

• Global well-posedness of the two-dimensional exterior Navier-Stokes equations for non-decaying data 

Arch. Rational Mech. Anal., 227 (2018), 69--104

Journal arXiv

• Exterior Navier-Stokes flows for bounded data

Math. Nachr., 290 (2017), 972–985

Journal arXiv

• On the Stokes resolvent estimates for cylindrical domains

J. Evol. Equ., 17 (2017),  17--49

with Y. Giga, K. Shade, and T. Suzuki

Journal

• On the Stokes semigroup in some non-Helmholtz domain

Archiv der Mathematik, 104 (2015), 177--187

with Y. Giga, K. Shade, and T. Suzuki

Journal

• The Navier-Stokes equations in a space of bounded functions 

Commun. Math. Phys., 338 (2015), 849-865

Journal

• On estimates for the Stokes flow in a space of bounded functions

J. Differ. Equ., 261 (2016), 1756--1795

Journal arXiv

• Some uniqueness result of the Stokes flow in a half space in a space of bounded functions

       Discrete Contin. Dyn. Syst. Ser. S, 7 (2014), 887--900

Journal

• Stokes resolvent estimates in spaces of bounded functions 

Ann. Sci. 'Ec. Norm. Sup'er., 48 (2015), 537--559 

with Y. Giga and M. Hieber

Journal arXiv

• The L^{infty}-Stokes semigroup in exterior domains 

J. Evol. Equ., 14 (2014), 1--28

with Y. Giga  

Journal