5 papers
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…