Properties of Generalized Forchheimer Flows in Porous Media

Properties of Generalized Forchheimer Flows in Porous Media

We consider generalized Forchheimer flows for slightly compressible fluids and study the initial boundary value problem for the degenerate parabolic equation with time dependent boundary condition. We estimate the L∞-norm of the pressure and derive some other estimates. We show that the solutions an...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2014-10, Vol.202 (2), p.259-332
Hauptverfasser: Hoang, L. T., Kieu, T. T., Phan, T. V.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Fluid dynamics
Laws, regulations and rules
Mathematics
Mathematics and Statistics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We consider generalized Forchheimer flows for slightly compressible fluids and study the initial boundary value problem for the degenerate parabolic equation with time dependent boundary condition. We estimate the L∞-norm of the pressure and derive some other estimates. We show that the solutions and its gradient depend continuously on the initial and boundary data and coefficients of the Forchheimer polynomials. De Giorgi and Ladyzhenskaya–Uraltseva iteration techniques are used. Bibliography: 36 titles.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-014-2045-2