5 citations · 10 across the 9 of their papers we have counts for
9 papers
Enhanced Dissipation and Global Well-Posedness for a Three-Dimensional Flame Propagation Model with Couette Flow
Yoshiyuki Kagei, Lijuan Wang
We study a three-dimensional gravity-induced flame front model under a Couette flow. By exploiting the enhanced dissipation induced by the Couette flow, we prove global-in-time wel…
Existence and stability of time periodic solutions to nonlinear elastic wave equations with viscoelastic terms
Yoshiyuki Kagei, Hiroshi Takeda
Existence and stability of time periodic solutions for nonlinear elastic wave equations with viscoelastic terms are established. The existence of the time periodic solution is prov…
Asymptotic behavior of solution of the non-resistive 2D MHD equations on the half space
Jiakun Jin, Yoshiyuki Kagei, Xiaoxia Ren +2
In this paper, we obtain the global well-posedness and the asymptotic behavior of solution of non-resistive 2D MHD problem on the half space. We overcome the difficulty of zero spe…
Smoothing effect and large time behavior of solutions to nonlinear elastic wave equations with viscoelastic term
Yoshiyuki Kagei, Hiroshi Takeda
The Cauchy problem for a nonlinear elastic wave equations with viscoelastic damping terms is considered on the 3 dimensional whole space. Decay and smoothing properties of the solu…
Smoothing effect and asymptotic behavior of solutions to nonlinear elastic wave equations with viscoelastic terms in the framework of -Sobolev spaces
Yoshiyuki Kagei, Hiroshi Takeda
The Cauchy problem for nonlinear elastic wave equations with viscoelastic damping terms is investigated in framework. It is proved that the small global solutions construct…
On the spectral properties for the linearized problem around space-time periodic states of the compressible Navier-Stokes equations
Mohamad Nor Azlan, Shota Enomoto, Yoshiyuki Kagei
This paper studies the linearized problem for the compressible Navier-Stokes equation around space-time periodic state in an infinite layer of (), and the spe…
Singular limit in Hopf bifurcation for doubly diffusive convection equations II: bifurcation and stability
Chun-Hsiung Hsia, Yoshiyuki Kagei, Takaaki Nishida +1
A singular perturbation problem from the artificial compressible system to the incompressible system is considered for a doubly diffusive convection when a Hopf bifurcation from th…
Singular limit in Hopf bifurcation for doubly diffusive convection equations I: linearized analysis at criticality
Chun-Hsiung Hsia, Yoshiyuki Kagei, Takaaki Nishida +1
A singularly perturbed system for doubly diffusive convection equations, called the artificial compressible system, is considered on a two-dimensional infinite layer for a paramete…
The Oberbeck--Boussinesq Approximation as a Constitutive Limit
Yoshiyuki Kagei, Michael Ruzicka
We derive the usual Oberbeck--Boussinesq approximation as a constitutive limit of the full system describing the motion of an compressible linearly viscous fluid. To this end the s…