72 citations · 220 across the 16 of their papers we have counts for
16 papers
The frequency-localization technique and minimal decay-regularity for Euler-Maxwell equations
Jiang Xu, Shuichi Kawashima
Dissipative hyperbolic systems of \textit{regularity-loss} have been recently received increasing attention. Usually, extra higher regularity is assumed to obtain the optimal decay…
Global existence and minimal decay regularity for the Timoshenko system: The case of non-equal wave speeds
Jiang Xu, Naofumi Mori, Shuichi Kawashima
As a continued work of [18], we are concerned with the Timoshenko system in the case of non-equal wave speeds, which admits the dissipative structure of \textit{regularity-loss}. F…
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…
Relaxation limit in larger Besov spaces for compressible Euler equations
Jiang Xu, Shuichi Kawashima
The work is devoted to the relaxation limit in larger Besov spaces for compressible Euler equations, which contains previous results in Sobolev spaces and Besov spaces with critica…
Global well-posedness in critical Besov spaces for two-fluid Euler-Maxwell equations
Jiang Xu, Jun Xiong, Shuichi Kawashima
In this paper, we study the well-posedness in critical Besov spaces for two-fluid Euler-Maxwell equations, which is different from the one fluid case. We need to deal with the diff…
Global classical solutions for partially dissipative hyperbolic system of balance laws
Jiang Xu, Shuichi Kawashima
This work is concerned with (-component) hyperbolic system of balance laws in arbitrary space dimensions. Under entropy dissipative assumption and the Shizuta-Kawashima algebrai…
Global existence and asymptotic decay of solutions to the Non-isentropic Euler-Maxwell system
Yuehong Feng, Shu Wang, Shuichi Kawashima
The non-isentropic compressible Euler-Maxwell system is investigated in in the present paper, and the time decay rate for the global smooth solution is established. It…
Asymptotic Behavior of Solutions to a Model System of a Radiating Gas
Yongqin Liu, Shuichi Kawashima
In this paper we focus on the initial value problem for a hyperbolic-elliptic coupled system of a radiating gas in multi-dimensional space. By using a time-weighted energy method,…
Global Existence and Asymptotic Behavior of Solutions for Quasi-linear Dissipative Plate Equation
Yongqin Liu, Shuichi Kawashima
In this paper we focus on the initial value problem for quasi-linear dissipative plate equation in multi-dimensional space . This equation verifies the decay property of…
Stationary waves to viscous heat-conductive gases in half space: existence, stability and convergence rate
Shuichi Kawashima, Tohru Nakamura, Shinya Nishibata +1
The present paper is concerned with large-time behavior of solutions to an outflow problem for an ideal polytropic model of compressible viscous gases in one-dimensional half space…
Traveling waves for models of phase transitions of solids driven by configurational forces
Shuichi Kawashima, Peicheng Zhu
This article is concerned with the existence of traveling wave solutions, including standing waves, to some models based on configurational forces, describing respectively the diff…