1 citations · 2 across the 4 of their papers we have counts for
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Existence of a global attractor for the compressible Euler equation in a bounded interval
Yun-guang Lu, Okihiro Sawada, Naoki Tsuge
In this paper, we are concerned with the one-dimensional initial boundary value problem for isentropic gas dynamics. Through the contribution of great researchers such as Lax, P. D…
Compensated Compactness Method on Non-isentropic Polytropic Gas Flow
Yun-guang Lu
In this paper, we are concerned with a model of polytropic gas flow, which consists the mass equation, the momentum equation and a varying entropy equation. First, a new technique,…
Global solutions and Relaxation Limit to the Cauchy Problem of a Hydrodynamic Model for Semiconductors
Yun-guang Lu
It is well-known that due to the lack of a technique to obtain the a-priori estimate of the artificial viscosity solutions of the Cauchy problem for the one-dimensiona…
Existence and nonexistence theorems for global weak solutions to quasilinear wave equations for the elasticity
Yun-guang Lu, Yuusuke Sugiyama
In this paper, by using the theory of compensated compactness coupled with the kinetic formulation by Lions, Perthame, Souganidis and Tadmor \cite{LPT,LPS}, we prove the existence…