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)) $[L^{m+1}(\Omega )]^{d}\times(W^{1, \frac{m+1}{m}}(\Omega)\cap L^{2}_{0}(\O...

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Bibliographic Details
Main Authors: Johnson D. Audu, Faisal A. Fairag, Salim A. Messaoudi
Format: Article
Language:English
Published: SpringerOpen 2018-08-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-018-1043-6