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pro vyhledávání: '"Makino, Tetu"'
Autor:
Makino, Tetu
We study adiabatic oscillations of rotating self-gravitating gaseous stars in mathematically rigorous manner. The internal motion of the star is supposed to be governed by the Euler-Poisson equations with rotation of constant angular velocity under t
Externí odkaz:
http://arxiv.org/abs/2309.00521
Autor:
Makino, Tetu
In meteorology the analysis of motions of the atmosphere on the Earth has been done using various mathematical models and using various approximations. In this article as the simplest model the compressible Euler equations with barotropic equation of
Externí odkaz:
http://arxiv.org/abs/2206.06532
Autor:
Makino, Tetu
Publikováno v:
Class. Quantum Grav., 38 (2021) 134002
We consider the equations for the coefficients of stationary rotating axisymmetric metrics governed by the Einstein-Euler equations, that is, the Einstein equations together with the energy-momentum tensor of a barotropic perfect fluid. Although the
Externí odkaz:
http://arxiv.org/abs/2008.13179
Autor:
Makino, Tetu
Publikováno v:
J. Math. Phys. 61, 091510(2020)
We consider the oscillations of the atmosphere around a stratified back ground density and entropy distribution under the gravitation on the flat Earth. The atmosphere is supposed to be an ideal gas and the motion is supposed to be governed by the co
Externí odkaz:
http://arxiv.org/abs/2003.03823
Autor:
Makino, Tetu
We consider the vibrations and waves in the atmosphere under the gravitation on the flat earth. The stratified density distribution of the back ground equilibrium is supposed to touch the vacuum at the finite height of the stratosphere. We show that
Externí odkaz:
http://arxiv.org/abs/2002.10031
Autor:
Makino, Tetu
We consider the equations for the coefficients of stationary rotating axisymmetric metrics governed by the Einstein-Euler equations, that is, the Einstein equations together with the energy-momentum tensor of a barotropic perfect fluid. Although the
Externí odkaz:
http://arxiv.org/abs/1908.10639
Autor:
Makino, Tetu
Axially symmetric stationary metrics governed by the Einstein-Euler equations for slowly rotating perfect fluids have been constructed in an arbitrarily large bounded domain containing the support of the mass density. However the problem of global pr
Externí odkaz:
http://arxiv.org/abs/1907.09056
Autor:
Makino, Tetu
Publikováno v:
Kyoto J. Math. 63(2):353-420(May 2023)
The linearized operator for non-radial oscillations of spherically symmetric self-gravitating gaseous stars is analyzed in view of the functional analysis. The evolution of the star is supposed to be governed by the Euler-Poisson equations under the
Externí odkaz:
http://arxiv.org/abs/1902.03675
Autor:
Jang, Juhi, Makino, Tetu
Publikováno v:
Journal of Mathematical Physics 61, 051508(2020)
The hydrodynamic evolution of self-gravitating gaseous stars is governed by the Euler-Poisson equations. We study the structure of the linear approximation of barotropic perturbations around spherically symmetric equilibria based on functional analyt
Externí odkaz:
http://arxiv.org/abs/1810.08294
Autor:
Jang, Juhi, Makino, Tetu
Publikováno v:
J. Differential Equations, 266-7(2019), 3942-3972
We consider stationary axisymmetric solutions of the Euler-Poisson equations, which govern the internal structure of barotropic gaseous stars. We take the general form of the equation of states which cover polytropic gaseous stars indexed by $6/5<\ga
Externí odkaz:
http://arxiv.org/abs/1712.05241