Abstract
We study the structure of solutions for the evolution equation of gaseous stars. The concept of “gentle” solution is introduced to establish the local solvability of the Cauchy problem, and non-existence of non-trivial global “gentle” solutions is proved.
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Références
T. Makino, S. Ukai et S. Kawashima, Sur la solution à support compact de l’équation d’Euler compressible. Japan J. Appl. Math.,3 (1986), 249–257.
T. Makino et S. Ukai, Sur l’existence des solutions locales de l’équation d’Euler-Poisson pour l’évolution d’étoiles gazeuses. J. Math. Kyoto Univ.,27 (1987), 387–399.
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Makino, T., Perthame, B. Sur les solution à symétrie sphérique de l’equation d’Euler-Poisson pour l’evolution d’etoiles gazeuses. Japan J. Appl. Math. 7, 165–170 (1990). https://doi.org/10.1007/BF03167897
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DOI: https://doi.org/10.1007/BF03167897