On the well-posedness of generalized Darcy–Forchheimer equation
Under the necessary compatibility condition and some mild regularity assumptions on the interior and the boundary data, we prove the existence, uniqueness, and stability of solution in [ L m + 1 ( Ω ) ] d × ( W 1 , m + 1 m ( Ω ) ∩ L 0 2 ( Ω ) ) for a generalized Darcy–Forchheimer model, governing a...
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| Veröffentlicht in: | Boundary value problems 2018-08, Vol.2018 (1), p.1-17, Article 123 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Under the necessary compatibility condition and some mild regularity assumptions on the interior and the boundary data, we prove the existence, uniqueness, and stability of solution in
[
L
m
+
1
(
Ω
)
]
d
×
(
W
1
,
m
+
1
m
(
Ω
)
∩
L
0
2
(
Ω
)
)
for a generalized Darcy–Forchheimer model, governing a non-Darcy flows in porous media with dimension
d
=
2
,
3
and
m
∈
(
1
,
2
]
. |
|---|---|
| ISSN: | 1687-2770 1687-2762 1687-2770 |
| DOI: | 10.1186/s13661-018-1043-6 |