On the global existence for the compressible Euler–Poisson system, and the instability of static solutions-Reference-Cited by-同舟云学术

On the global existence for the compressible Euler–Poisson system, and the instability of static solutions

Published:2020-11-04 Issue:3 Volume:21 Page:3035-3054
ISSN:1424-3199
Container-title:Journal of Evolution Equations
language:en
Short-container-title:J. Evol. Equ.

Author:

Danchin R.^ORCID,Ducomet B.

Funder

Agence Nationale de la Recherche

Publisher

Springer Science and Business Media LLC

Subject

Mathematics (miscellaneous)

Link

https://link.springer.com/content/pdf/10.1007/s00028-020-00639-1.pdf

Reference33 articles.

1. H. Bahouri, J.-Y. Chemin and R. Danchin. Fourier Analysis and Nonlinear Partial Differential Equations. Grundlehren der mathematischen Wissenschaften, 343, Springer (2011).

2. S. Benzoni-Gavage, R. Danchin and S. Descombes. On the well-posedness for the Euler-Korteweg model in several space dimensions. Indiana Univ. Math. J., 56(4): 1499–1579, 2007.

3. M. Bézard. Existence locale de solutions pour les équations d’Euler-Poisson. Japan J. Indust. Appl. Math., 10:431–450, 1993.

4. X. Blanc, R. Danchin, B. Ducomet, Š. Nečasova. The global existence issue for the compressible Euler system with Poisson or Helmholtz coupling. J. Hyperbolic Differ. Equ.arXiv:1906.08075.

5. U. Brauer and L. Karp. Local existence of solutions to the Euler-Poisson system including densities without compact support. Journal of Differential Equations, 264:755–785, 2018.

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