28 citations · 106 across the 24 of their papers we have counts for
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math.AP2012★ 3 cited
On spherically symmetric motions of a gaseous star governed by the Euler-Poisson equations
Tetu Makino
We study spherically symmetric motions of a gaseous star governed by the Euler-Poisson equations. Equilibria are given as solutions of the Lane-Emden equations, and the linearized…
math.AP2012
On Spherically Symmetric Motions of the Atmosphere Surrounding a Planet Governed by the Compressible Euler Equations
Tetu Makino
We consider spherically symmetric motions of inviscid compressible gas surrounding a solid ball under the gravity of the core. Equilibria touch the vacuum with finite radii, and th…
math.AP2012★ 2 cited
An Application of Nash-Moser Theorem to Smooth Solutions of One-Dimensional Compressible Euler Equation with Gravity
Cheng-Hsiung Hsu, Song-Sun Lin, Tetu Makino +1
We study one-dimensional motions of polytropic gas governed by the compressible Euler equations. The problem on the half space under a constant gravity gives an equilibrium which h…