Well-posedness of the compressible Navier–Stokes–Poisson system in the critical Besov spaces

Noboru Chikami; Takayoshi Ogawa

doi:10.1007/s00028-016-0334-6

Well-posedness of the compressible Navier–Stokes–Poisson system in the critical Besov spaces

Noboru Chikami, Takayoshi Ogawa

SCI - Mathematics

Tohoku University

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

We consider the Cauchy problem of the compressible Navier–Stokes system coupled with a Poisson equation. We give the optimal well-posedness in terms of scaling in the Besov framework. The results include the case of two dimensions, which is not treated in previous results.

Original language	English
Pages (from-to)	717-747
Number of pages	31
Journal	Journal of Evolution Equations
Volume	17
Issue number	2
DOIs	https://doi.org/10.1007/s00028-016-0334-6
Publication status	Published - 2017 Jun 1

Keywords

Besov spaces
Compressible Navier–Stokes–Poisson system
Lagrangian coordinates

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10.1007/s00028-016-0334-6

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abstract = "We consider the Cauchy problem of the compressible Navier–Stokes system coupled with a Poisson equation. We give the optimal well-posedness in terms of scaling in the Besov framework. The results include the case of two dimensions, which is not treated in previous results.",

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KW - Lagrangian coordinates

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Well-posedness of the compressible Navier–Stokes–Poisson system in the critical Besov spaces

Abstract

Keywords

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