Very weak solutions to the Navier–Stokes system in general unbounded domains
We consider very weak instationary solutions u of the Navier–Stokes system in general unbounded domains Ω ⊂ R n , n ≥ 3 , with smooth boundary, i.e., u solves the Navier–Stokes system in the sense of distributions and u ∈ L r ( 0 , T ; L ~ q ( Ω ) ) where 2 r + n q = 1 , 2 < r
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| Veröffentlicht in: | Journal of evolution equations 2015-06, Vol.15 (2), p.253-279 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We consider very weak instationary solutions
u
of the Navier–Stokes system in general unbounded domains
Ω
⊂
R
n
,
n
≥
3
, with smooth boundary, i.e.,
u
solves the Navier–Stokes system in the sense of distributions and
u
∈
L
r
(
0
,
T
;
L
~
q
(
Ω
)
)
where
2
r
+
n
q
=
1
, 2 <
r |
|---|---|
| ISSN: | 1424-3199 1424-3202 |
| DOI: | 10.1007/s00028-014-0258-y |