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Global existence of weak solution to Navier–Stokes equations with large external force and general pressure
Author(s) -
Suen Anthony
Publication year - 2013
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.3012
Subject(s) - mathematics , bounded function , compressibility , navier–stokes equations , mathematical analysis , uniform boundedness , energy (signal processing) , weak solution , energy method , mechanics , physics , statistics
We study the 3‐D compressible Navier–Stokes equations with an external potential force and a general pressure. We prove the global‐in‐time existence of weak solutions with small‐energy initial data and with densities being positive and essentially bounded. No smallness assumption is made on the external force. Copyright © 2013 John Wiley & Sons, Ltd.