On the well-posedness of generalized Darcy–Forchheimer equation

Johnson D. Audu; Faisal A. Fairag; Salim A. Messaoudi

doi:10.1186/s13661-018-1043-6

On the well-posedness of generalized Darcy–Forchheimer equation

Johnson D. Audu^*, Faisal A. Fairag, Salim A. Messaoudi

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

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 [Lm+1(Ω)]d×(W1,m+1m(Ω)∩L02(Ω)) for a generalized Darcy–Forchheimer model, governing a non-Darcy flows in porous media with dimension d= 2 , 3 and m∈ (1 , 2].

Original language	English
Article number	123
Journal	Boundary Value Problems
Volume	2018
Issue number	1
DOIs	https://doi.org/10.1186/s13661-018-1043-6
State	Published - 1 Dec 2018

Bibliographical note

Publisher Copyright:
© 2018, The Author(s).

Keywords

Darcy–Forchheimer
Existence
Monotone-type
Porous media
Stability

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

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10.1186/s13661-018-1043-6

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title = "On the well-posedness of generalized Darcy–Forchheimer equation",

abstract = "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 [Lm+1(Ω)]d×(W1,m+1m(Ω)∩L02(Ω)) for a generalized Darcy–Forchheimer model, governing a non-Darcy flows in porous media with dimension d= 2 , 3 and m∈ (1 , 2].",

keywords = "Darcy–Forchheimer, Existence, Monotone-type, Porous media, Stability",

author = "Audu, \{Johnson D.\} and Fairag, \{Faisal A.\} and Messaoudi, \{Salim A.\}",

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doi = "10.1186/s13661-018-1043-6",

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T1 - On the well-posedness of generalized Darcy–Forchheimer equation

AU - Audu, Johnson D.

AU - Fairag, Faisal A.

AU - Messaoudi, Salim A.

PY - 2018/12/1

Y1 - 2018/12/1

N2 - 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 [Lm+1(Ω)]d×(W1,m+1m(Ω)∩L02(Ω)) for a generalized Darcy–Forchheimer model, governing a non-Darcy flows in porous media with dimension d= 2 , 3 and m∈ (1 , 2].

AB - 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 [Lm+1(Ω)]d×(W1,m+1m(Ω)∩L02(Ω)) for a generalized Darcy–Forchheimer model, governing a non-Darcy flows in porous media with dimension d= 2 , 3 and m∈ (1 , 2].

KW - Darcy–Forchheimer

KW - Existence

KW - Monotone-type

KW - Porous media

KW - Stability

UR - https://www.scopus.com/pages/publications/85051435895

U2 - 10.1186/s13661-018-1043-6

DO - 10.1186/s13661-018-1043-6

M3 - Article

AN - SCOPUS:85051435895

SN - 1687-2762

VL - 2018

JO - Boundary Value Problems

JF - Boundary Value Problems

IS - 1

M1 - 123

ER -

On the well-posedness of generalized Darcy–Forchheimer equation

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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