Local well‐posedness and blow‐up criterion for a compressible Navier‐Stokes‐ P 1 approximate model arising in radiation hydrodynamics | Zendy

He Fangyi | Zendy; Fan Jishan | Zendy; Zhou Yong | Zendy

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Local well‐posedness and blow‐up criterion for a compressible Navier‐Stokes‐ P 1 approximate model arising in radiation hydrodynamics

Author(s) -

He Fangyi,

Fan Jishan,

Zhou Yong

Publication year - 2018

Publication title -

zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 51

eISSN - 1521-4001

pISSN - 0044-2267

DOI - 10.1002/zamm.201700142

Subject(s) - compressibility , mathematics , mathematical analysis , navier–stokes equations , compressible flow , compatibility (geochemistry) , radiation , physics , mechanics , geology , quantum mechanics , geochemistry

In this paper we prove the local well‐posedness and a blow‐up criterion of strong solutions for a compressible Navier‐Stokes‐ P 1 approximate model arising in radiation hydrodynamics, provided the initial data satisfy a natural compatibility condition. We do not assume the positivity of initial density, it may vanish in an open subset (vacuum) of Ω : = T 3 .

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