2 citations · 3 across the 11 of their papers we have counts for
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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…