88 citations · 222 across the 22 of their papers we have counts for
26 papers
Boundary-layer separation beyond the square-root law
Ky Giao Duong, Tej-Eddine Ghoul, Sameer Iyer +1
We construct solutions to the two-dimensional stationary Prandtl system under a constant adverse pressure gradient exhibiting a family of distinct separation laws. More precisely,…
Self-similar vorticity around the boundary and non-uniqueness of solutions to the two-dimensional Navier-Stokes equations in the half space
Motofumi Aoki, Yasunori Maekawa
In this paper we show the non-uniqueness of mild solutions to the two-dimensional forced Navier-Stokes equations in the half space under the noslip boundary condition, following th…
Local Rigidity of the Couette Flow for the Stationary Triple-Deck Equations
Sameer Iyer, Yasunori Maekawa
The Triple-Deck equations are a classical boundary layer model which describes the asymptotics of a viscous flow near the separation point, and the Couette flow is an exact station…
Optimal rate of convergence to nondegenerate asymptotic profiles for fast diffusion in domains
Goro Akagi, Yasunori Maekawa
This paper is concerned with the Cauchy-Dirichlet problem for fast diffusion equations posed in bounded domains, where every energy solution vanishes in finite time and a suitably…
Improved well-posedness for the Triple-Deck and related models via concavity
David Gerard-Varet, Sameer Iyer, Yasunori Maekawa
We establish linearized well-posedness of the Triple-Deck system in Gevrey- regularity in the tangential variable, under concavity assumptions on the background flow. Due…
Existence of the stationary Navier-Stokes flow in around a radial flow
Yasunori Maekawa, Hiroyuki Tsurumi
We consider the stationary Navier-Stokes equations on the whole plane . We show that for a given small and smooth external force around a radial flow, there exists a…
Rate of the enhanced dissipation for the two-jet Kolmogorov type flow on the unit sphere
Yasunori Maekawa, Tatsu-Hiko Miura
We study the enhanced dissipation for the two-jet Kolmogorov type flow which is a stationary solution to the Navier-Stokes equations on the two-dimensional unit sphere given by the…
Optimal Prandtl expansion around concave boundary layer
David Gerard-Varet, Yasunori Maekawa, Nader Masmoudi
We provide an optimal Gevrey stability result for general boundary layer expansions, under a mild concavity condition on the boundary layer profile. Our result generalizes (and eve…
On stability of blow-up solutions of the Burgers vortex type for the Navier-Stokes equations with a linear strain
Yasunori Maekawa, Hideyuki Miura, Christophe Prange
We study the three-dimensional Navier-Stokes equations in the presence of the axisymmetric linear strain, where the strain rate depends on time in a specific manner. It is known th…
Sobolev stability of Prandtl expansions for the steady Navier-Stokes equations
David Gerard-Varet, Yasunori Maekawa
We show the stability of shear flows of Prandtl type: , in the steady two-dimensional Navier-Stokes equations, under the natural assumptions that $U_s…
Local energy weak solutions for the Navier-Stokes equations in the half-space
Yasunori Maekawa, Hideyuki Miura, Christophe Prange
The purpose of this paper is to prove the existence of global in time local energy weak solutions to the Navier-Stokes equations in the half-space . Such solutions a…
Estimates for the Navier-Stokes equations in the half-space for non localized data
Yasunori Maekawa, Hideyuki Miura, Christophe Prange
This paper is devoted to the study of the Stokes and Navier-Stokes equations, in a half-space, for initial data in a class of locally uniform Lebesgue integrable functions, namely…
On stationary two-dimensional flows around a fast rotating disk
Isabelle Gallagher, Mitsuo Higaki, Yasunori Maekawa
We study the two-dimensional stationary Navier-Stokes equations describing flows around a rotating disk. The existence of unique solutions is established for any rotating speed, an…
On pseudospectral bound for non-selfadjoint operators and its application to stability of Kolmogorov flows
Slim Ibrahim, Yasunori Maekawa, Nader Masmoudi
We study the stability of the Kolmogorov flows which are stationary solutions to the two-dimensional Navier-Stokes equations in the presence of the shear external force. We establi…
On the two-dimensional steady Navier-Stokes equations related to flows around a rotating obstacle
Mitsuo Higaki, Yasunori Maekawa, Yuu Nakahara
We study the two-dimensional stationary Navier-Stokes equations with rotating effect in the whole space. The unique existence and the asymptotics of solutions are obtained without…
On convergence criteria for incompressible Navier-Stokes equations with Navier boundary conditions and physical slip rates
Yasunori Maekawa, Matthew Paddick
We prove some criteria for the convergence of weak solutions of the 2D incompressible Navier-Stokes equations with Navier slip boundary conditions to a strong solution of incompres…
On stationary Navier-Stokes flows around a rotating obstacle in two-dimensions
Mitsuo Higaki, Yasunori Maekawa, Yuu Nakahara
We study the two-dimensional stationary Navier-Stokes equations describing the flows around a rotating obstacle. The unique existence of solutions and their asymptotic behavior at…
Existence and stability of viscous vortices
Thierry Gallay, Yasunori Maekawa
Vorticity plays a prominent role in the dynamics of incompressible viscous flows. In two-dimensional freely decaying turbulence, after a short transient period, evolution is essent…
The Inviscid Limit and Boundary Layers for Navier-Stokes Flows
Yasunori Maekawa, Anna Mazzucato
The validity of the vanishing viscosity limit, that is, whether solutions of the Navier-Stokes equations modeling viscous incompressible flows converge to solutions of the Euler eq…
Gevrey Stability of Prandtl Expansions for 2D Navier-Stokes
David Gerard-Varet, Yasunori Maekawa, Nader Masmoudi
We investigate the stability of boundary layer solutions of the two-dimensional incompressible Navier-Stokes equations. We consider shear flow solutions of Prandtl type : $$ u^ν(t,…
A Liouville theorem for the planer Navier-Stokes equations with the no-slip boundary condition and its application to a geometric regularity criterion
Yoshikazu Giga, Pen-Yuan Hsu, Yasunori Maekawa
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…
Remark on the Helmholtz decomposition in domains with noncompact boundary
Yasunori Maekawa, Hideyuki Miura
Let be a domain with noncompact boundary. It is known that the Helmholtz decomposition is not always valid in except for the energy space . In this paper we c…
On Poisson operators and Dirichlet-Neumann maps in H^s for divergence form elliptic operators with Lipschitz coefficients
Yasunori Maekawa, Hideyuki Miura
We consider second order uniformly elliptic operators of divergence form in whose coefficients are independent of one variable. Under the Lipschitz condition on the coef…
On domain of Poisson operators and factorization for divergence form elliptic operators
Yasunori Maekawa, Hideyuki Miura
We consider second order uniformly elliptic operators of divergence form in whose coefficients are independent of one variable. For such a class of operators we establis…