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An energy theorem for viscous fluid motions

✍ Scribed by Robert Finn

Publisher: Springer
Year: 1960
Tongue: English
Weight: 458 KB
Volume: 6
Category: Article
ISSN: 0003-9527
DOI: 10.1007/bf00276169

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## Abstract We study the __p__‐system with viscosity given by __v__~__t__~ − __u__~__x__~ = 0, __u__~__t__~ + __p__(__v__)~__x__~ = (__k__(__v__)__u__~__x__~)~__x__~ + __f__(∫ __v__d__x__, __t__), with the initial and the boundary conditions (v(x, 0), u(x,0)) = (__v__~0~, __u__~0~(__x__)), __u__(0,