2 citations · 3 across the 11 of their papers we have counts for
11 papers
Global existence of a classical solution for the isentropic nozzle flow
Shih-Wei Chou, Bo-Chih Huang, Yun-guang Lu +1
Our goal in this paper is to prove the global existence of a classical solution for the isentropic nozzle flow. Regarding this problem, there exist some global existence theorems o…
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…
Decay of solutions of isentropic gas dynamics for large data
Naoki Tsuge
In this paper, we are concerned with the Cauchy problem for isentropic gas dynamics. Through the contribution of many researchers such as Lax, P. D., Glimm, J., DiPerna, R. J. and…
Global existence of a solution for isentropic gas flow in the Laval nozzle with a friction
Naoki Tsuge
We are concerned with isentropic gas flow in the Laval nozzle with a friction due to viscosity. It is well known that the flow attains the sonic state at the throat, where the cros…
Existence of a time periodic solution for the compressible Euler equation with a time periodic outer force in a bounded interval
Naoki Tsuge
In the field of differential equations, particularly fluid dynamics, many researchers have shown an interest in the behavior of time periodic solutions. In this paper, we study ise…
Necessary and sufficient condition for equilibrium of the Hotelling model on a circle
Satoshi Hayashi, Naoki Tsuge
We study a model of vendors competing to sell a homogeneous product to customers spread evenly along a circular city. This model is based on Hotelling's celebrated paper in 1929. O…
Positive solutions to the reaction diffusion equations for prey-predator models with dormancy of predators
Novrianti, O. Sawada, N. Tsuge
The time-global unique solvability on the reaction diffusion equations for prey-predator models with density-dependent inhibitor and dormancy on predators is established. The cruci…
Remarks on the energy inequality of a global solution to the compressible Euler equations for the isentropic nozzle flow
Naoki Tsuge
We study the compressible Euler equations in the isentropic nozzle flow. The global existence of an solution has been proved in (Tsuge in Nonlinear Anal. Real World Ap…
Existence of a time periodic solution for the compressible Euler equation with a time periodic outer force
Naoki Tsuge
We are concerned with a time periodic supersonic flow through a bounded interval. This motion is described by the compressible Euler equation with a time periodic outer force. Our…
Necessary and sufficient condition for equilibrium of the Hotelling model
Satoshi Hayashi, Naoki Tsuge
We study a model of vendors competing to sell a homogeneous product to customers spread evenly along a linear city. This model is based on Hotelling's celebrated paper in 1929. Our…
Global entropy solutions to the compressible Euler equations in the isentropic nozzle flow for large data: Application of the modified Godunov scheme and the generalized invariant regions
Naoki Tsuge
We study the motion of isentropic gas in nozzles. This is a major subject in fluid dynamics. In fact, the nozzle is utilized to increase the thrust of rocket engines. Moreover, the…