Publication Cover
Applicable Analysis
An International Journal
Volume 73, 1999 - Issue 3-4
34
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

On global solutions of a boundary-value problem for the one-dimensional buckley—leverett equations

&
Pages 325-343 | Received 01 Mar 1998, Published online: 20 Jan 2011

References

  • Antontsev , S.N. , Kazhikhov , A.V. and Monakhov , V.N. 1990 . “ Bounday-value problems in mechanics of non-homogeneous fluids ” . In Studies in Math. and its Appl , Vol. 1 , North-Holland .
  • Anzellotti , G. 1983 . Pairings between measures and functions and compensated compactness . Ann. Mat.Pura App , 135 : 293 – 318 .
  • Bardos , C. , Le Roux , A.Y. and Nédélec , J.C. 1979 . : First order quasilinear equations with boundary conditions . Comm. in P.D.E , 4 ( 9 ) : 1017 – 1034 .
  • Barenblatt , G.I. , Entov , V.M. and Ryzhik , V.M. 1990 . Theory of Fluids Flows Through Natural Rocks , Kluwer Academic Publishers .
  • Charnyi , I.A. 1963 . Underground hydrodynamics Vol. 1 , Mascow, Russian
  • Chavent , G. and Jaffré , J. 1986 . Mathematical Models and Finite Elements for Reservoir Simulation , Vol. 1 , North-Holland : Amsterdam .
  • Dubois , F. and Le Floch , P. 1988 . Boundary conditions for nonlinear hyperbolic systems of conservation laws . J.Diff.Eq , 71 : 93 – 122 .
  • Frid , H. 1995 . Solutions to the Initial Boundary-Value Problem for the Regularized Buckley-Leverett System . Acta Applicandae Mathematicae , 38 : 239 – 265 .
  • Gisclon , M. and Serre , D. 1994 . Étude des conditions aux limites pour un système strictement hyperbolique via l'approximation parabolique . C. R. Acad.Sci Paris Sér. 1 Math. , 319 ( 4 ) : 377 – 382 .
  • Grenier , E. and Guòs , O. 1998 . Boundary layers for viscous perturbations of noncharacteristic quasilinear problems . J. of Diflerential Equations , 143 : 110 – 146 .
  • Maléc , J. , Neˇas , J , Rokyta , M. and Rˇiˇiˇka , M. 1996 . Weak and Measure-valued Solutions to Euolutionary PDEs , Vol. 1 , London : Chapman-Hall .
  • Otto , F. 1992 . First order equations with boundary conditions . 143 Preprint No. 234, SFB 256,Univ.Bonn
  • Otto , F. 1995 . Evolution of microstructure in unstable flow: a relaxation approch . 438 Sonderforchungbereich 256, preprint
  • Otto , F. 1987 . Compact sets in the space Lp(0,T;B) . Annali di Mat. Pura ad .Applic , 146 : 65 – 96 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.