A global existence result for the compressible Navier-Stokes-Poisson equations in three and higher dimensions

• Autorzy: Zhensheng Gao , Zhong Tan
• Języki publikacji: EN

Abstrakty

EN

The paper is dedicated to the global well-posedness of the barotropic compressible Navier-Stokes-Poisson system in the whole space $ℝ^{N}$ with N ≥ 3. The global existence and uniqueness of the strong solution is shown in the framework of hybrid Besov spaces. The initial velocity has the same critical regularity index as for the incompressible homogeneous Navier-Stokes equations. The proof relies on a uniform estimate for a mixed hyperbolic/parabolic linear system with a convection term.

Kategorie tematyczne

• 35D35: Strong solutions
• 35Q30: Navier-Stokes equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2012
• Tom: 105
• Numer: 2
• Strony: 179-198

Daty

wydano

2012

Twórcy

autor

Zhensheng Gao

• School of Mathematical Sciences, Xiamen University, 361005 Xiamen, China
• School of Mathematical Sciences, Huaqiao University, 362021 Quanzhou, China

autor

Zhong Tan

• School of Mathematical Sciences, Xiamen University, 361005 Xiamen, China

Identyfikatory

DOI

10.4064/ap105-2-6