Zobrazeno 1 - 10
of 132
pro vyhledávání: '"Kagei, Yoshiyuki"'
Autor:
Kagei, Yoshiyuki, Takeda, Hiroshi
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 proved using the spectral decomposition of the linear principal part and t
Externí odkaz:
http://arxiv.org/abs/2408.16962
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 spectrum gap by building the relationship between half space and the whol
Externí odkaz:
http://arxiv.org/abs/2401.10456
Autor:
Kagei, Yoshiyuki, Takeda, Hiroshi
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 solutions are investigated when the initial data are sufficiently small; a
Externí odkaz:
http://arxiv.org/abs/2109.04628
Autor:
Kagei, Yoshiyuki, Takeda, Hiroshi
The Cauchy problem for nonlinear elastic wave equations with viscoelastic damping terms is investigated in $L^{p}$ framework. It is proved that the small global solutions constructed in $L^{2}$-Sobolev spaces in our preceding paper [12] satisfies con
Externí odkaz:
http://arxiv.org/abs/2109.04618
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 the motionless state occurs in the incompressible system. It is proved t
Externí odkaz:
http://arxiv.org/abs/2103.02779
A singularly perturbed system for doubly diffusive convection equations, called the artificial compressible system, is considered on a two-dimensional infinite layer for a parameters range where the Hopf bifurcation occurs in the corresponding incomp
Externí odkaz:
http://arxiv.org/abs/2103.02778
This paper studies the linearized problem for the compressible Navier-Stokes equation around space-time periodic state in an infinite layer of $\mathbb{R}^n$ ($n=2,3$), and the spectral properties of the linearized evolution operator is investigated.
Externí odkaz:
http://arxiv.org/abs/2102.13315
Autor:
Kagei, Yoshiyuki, Takeda, Hiroshi
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 March 2023 519(1)
Autor:
Kagei, Yoshiyuki, Ruzicka, Michael
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 starting system is written, using the Gibbs free energy, in the variabl
Externí odkaz:
http://arxiv.org/abs/1508.01093
Publikováno v:
In Journal of Differential Equations 15 January 2018 264(2):897-928