72 citations · 220 across the 16 of their papers we have counts for
6 papers · 1 filter
Frequency-localization Duhamel principle and its application to the optimal decay of dissipative systems
Jiang Xu, Shuichi Kawashima
Very recently, a new decay framework has been given by [51] for linearized dissipative hyperbolic systems satisfying the Kawashima-Shizuta condition on the framework of Besov space…
Decay structure of two hyperbolic relaxation models with regularity-loss
Yoshihiro Ueda, Renjun Duan, Shuichi Kawashima
The paper aims at investigating two types of decay structure for linear symmetric hyperbolic systems with non-symmetric relaxation. Precisely, the system is of the type if…
Decay structure for symmetric hyperbolic systems with non-symmetric relaxation and its application
Yoshihiro Ueda, Renjun Duan, Shuichi Kawashima
This paper is concerned with the decay structure for linear symmetric hyperbolic systems with relaxation. When the relaxation matrix is symmetric, the dissipative structure of the…
Global existence and optimal decay rates for the Timoshenko system: the case of equal wave speeds
Naofumi Mori, Jiang Xu, Shuichi Kawashima
This work first gives the global existence and optimal decay rates of solutions to the classical Timoshenko system on the framework of Besov spaces. Due to the \textit{non-symmetri…
The optimal decay estimates for the Euler-Poisson two-fluid system
Jiang Xu, Shuichi Kawashima
This work is devoted to the optimal decay problem for the Euler-Poisson two-fluid system, which is a classical hydrodynamic model arising in semiconductor sciences. By exploring th…
The optimal decay estimates on the framework of Besov spaces for generally dissipative systems
Jiang Xu, Shuichi Kawashima
We give a new decay framework for general dissipative hyperbolic system and hyperbolic-parabolic composite system, which allow us to pay less attention on the traditional spectral…