Global existence and asymptotic behavior for the compressible Navier–Stokes equations with a non‐autonomous external force and a heat source | Zendy

Qin Yuming | Zendy; Yu Xiaona | Zendy

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Global existence and asymptotic behavior for the compressible Navier–Stokes equations with a non‐autonomous external force and a heat source

Author(s) -

Qin Yuming,

Yu Xiaona

Publication year - 2008

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.1079

Subject(s) - mathematics , bounded function , infinity , compressibility , heat equation , mathematical analysis , boundary value problem , motion (physics) , boundary (topology) , classical mechanics , mechanics , physics

In this paper, we prove the global existence and asymptotic behavior, as time tends to infinity, of solutions in H i ( i =1, 2) to the initial boundary value problem of the compressible Navier–Stokes equations of one‐dimensional motion of a viscous heat‐conducting gas in a bounded region with a non‐autonomous external force and a heat source. Some new ideas and more delicate estimates are used to prove these results. Copyright © 2008 John Wiley & Sons, Ltd.

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