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Chen, Qionglei; Miao, Changxing; Zhang, Zhifei

Well-posedness in critical spaces for the compressible Navier-Stokes equations with density dependent viscosities. (English) Zbl 1205.35189

Rev. Mat. Iberoam. 26, No. 3, 915-946 (2010).
Summary: We prove the local well-posedness in critical Besov spaces for the compressible Navier-Stokes equations with density dependent viscosities under the assumption that the initial density is bounded away from zero.

Cited in 46 Documents

MSC:

35Q30 Navier-Stokes equations
35D30 Weak solutions to PDEs
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
35B45 A priori estimates in context of PDEs
35Q20 Boltzmann equations
42B25 Maximal functions, Littlewood-Paley theory

Keywords:

compressible Navier-Stokes equations; Besov spaces; Bony’s paraproduct; Fourier localization
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\textit{Q. Chen} et al., Rev. Mat. Iberoam. 26, No. 3, 915--946 (2010; Zbl 1205.35189)
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References:

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