Tetu Makino
Published 2022-06-14Version 1
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 state of the ideal gas is analyzed under the co-ordinate system which rotates with constant angular velocity. Mathematically rigorous inquiry is tried. Although problems remain to be open, some fundamental results are exhibited.
Rough solutions of the 3-D compressible Euler equations
Development of singularities for the compressible Euler equations with external force in several dimensions
Collision of almost parallel vortex filaments
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