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20172021
most citedNecessary and sufficient condition for equilibrium of the Hotelling model on a circle

2 citations · 3 across the 4 of their papers we have counts for

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math.AP2021

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…

math.AP2019

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…

math.AP2019

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…

math.AP2019

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…

math.AP20171 cited

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…