• S. Evje and H. Wen, "Stability of a compressible two-fluid hyperbolic-elliptic system arising in fluid mechanics", submitted, 2015.

• S. Evje and H. Wen, "Weak solutions of a two-phase Navier-Stokes model with a general slip law", J. Func. Anal., Vol 268, pp. 93-139, 2015.

• S. Evje and H. Wen, "Global solutions of a viscous gas-liquid model with unequal fluid velocities in a closed conduit", SIAM J. Math. Anal., Vol 47 (1), pp. 381–406, 2015.

• A.V. Omekeh, H.A. Friis, S. Evje, I. Fjelde, "A model for low salinity flooding experiments: Dissolution and Ion Exchange", J. Porous Media, to appear.

• S. Evje, H. Wen, L. Yao, "Global solutions to a one-dimensional non-conservative two-phase model", Disc. Cont. Dyn. System - A, to appear.

• S. Evje and H. Wen, "Analysis of a compressible two-fluid Stokes system with constant viscosity", J. Math. Fluid Mech., to appear.

• P. Andersen, S. Evje, H. Kleppe, S.M. Skjaeveland, "A model for wettability alteration in fractured reservoirs", accepted in SPE J, 2015.

• S. Evje and H. Wen, "On the large time behavior of the compressible gas-liquid drift-flux model with slip", Mathematical Models and Methods in Applied Sciences (M3AS), to appear.

• S. Evje, L. Qingqing, and C.-J. Zhu, "Asymptotic stability of the compressible gas–liquid model with well-formation interaction and gravity", J. Diff. Eqs., Vol 257(9), pp. 3226-3271, 2014.

• H.A. Friis and S. Evje, "Well-posedness of a compressible gas-liquid model for deepwater oil well operations", Acta Math. Sci., Vol 34 (1), pp. 107-124, 2014.

• P.Ø. Andersen, S. Evje, and H. Kleppe, "A model for spontaneous imbibition as a mechanism for oil recovery in fractured reservoirs", Transport Porous Media, Vol 101 (2), pp. 299-331, 2014.

• P. Aursand, S. Evje, T. Flåtten, K.E. Teigen, S.T. Munkejord, "An exponential time-differencing method for monotonic relaxation systems", Applied Num. Math., Vol 80, pp. 1-21, 2014.

• S. Evje, "A compressible two-phase model with pressure-dependent well-reservoir interaction", SIAM J. Math. Anal., Vol 45 (2), pp. 518–546, 2013.

• H.A. Friis and S. Evje, "Asymptotic behavior of a compressible two-phase model with well-formation interaction", J. Diff. Eqs., Vol 254 (9), pp. 3957–3993, 2013.

• S. Evje and H. Wen, "Weak solutions of a gas-liquid drift-flux model with general slip law for wellbore operations", Disc. Cont. Dyn. System - A, Vol 33 (10), 2013.

• A.V. Omekeh, S.Evje, and H.A. Friis, "Modeling of low salinity effects in sandstone oil rocks", Int. J. Num. Anal. Mod - B, Vol 4 (2), pp. 95, 2013.

• S. Evje, "Genuine wellbore two-phase flow dynamics with a free interface separating gas-liquid mixture from gas", SIAM J. Math. Anal., Vol 45 (5), pp. 2894-2923, 2013.

• S. Evje and K.H. Karlsen, "Analysis of a compressible gas-liquid model motivated by oil well control operations", Acta Math. Sci., 32 (1), pp. 295-314, 2012.

• H.A. Friis and S. Evje, "Numerical treatment of two-phase flow in capillary heterogeneous porous media by finite-volume approximations", Int. J. Num. Anal. Mod., 9 (3), pp. 505, 2012.

• P.Ø Andersen, S. Evje, M.V. Madland, A. Hiorth, "A geochemical model for interpretation of chalk core flooding experiments", Chem. Eng. Sci., 84, pp. 218, 2012.

• P.Ø Andersen and S. Evje, "Two-phase flow in a fissurized-porous media", AIP Conf. Proc. 1479, 2340 (2012); doi: 10.1063/1.4756663.

• H.A. Friis and S. Evje, "Well-posedness of a compressible gas-liquid model with a friction term important for well control operations", SIAM J. Appl. Math., 71 (6), pp. 2014-2047, 2011.

• S. Evje,"Weak solutions for a gas-liquid model relevant for describing gas-kick in oil wells", SIAM J. Math. Anal., Vol 43 (4), pp. 1887-1922, 2011.

• S. Evje and A. Hiorth, "A model for interpretation of brine-dependent spontaneous imbibition experiments", Adv. Water Resources, Vol 34 (12), pp. 1627--1642, 2011.

• H.A. Friis and S. Evje, "Global weak solutions for a gas-liquid model with external forces and general pressure law", SIAM J. Appl. Math., Vol 71 (2), pp. 409-442, 2011.

• M.V. Madland, E. Omdal, Megawati, T. Hildebrand-Habel, R.I. Korsnes, S. Evje, L.M. Cathles, A. Hiorth, "Chemical alterations induced by rock-fluid interactions when injecting brines in high porosity chalks", Transport Porous Media, Vol 87, pp. 679-702, 2011.

• S. Evje,"Global weak solutions for a compressible gas-liquid model with well-formation interaction",    J. Diff. Eqs., Vol 251 (8), pp. 2352-2386, 2011.

• S. Evje and A. Hiorth, "A Mathematical Model for Dynamic Wettability Alteration Controlled by Water-Rock Chemistry", Networks and Heterogeneous Media, Vol 5 (2), pp. 217-256, 2010.

• S.T.Munkejord, S. Evje, T Flåtten, "A MUSTA scheme for a non-conservative two-fluid model", SIAM J. Sci. Comput. Vol 31, pp. 2587-2622, 2009.

• S. Evje, A. Hiorth, M.V. Madland, R.I. Korsnes, "A mathematical model relevant for weakening of chalk reservoirs due to chemical reactions", Networks and Heterogeneous Media, Vol 4 (4), pp. 755-788, 2009.

• H.A.Friis, S.Evje and T.Flåtten, "A numerical study of characteristic slow-transient behavior of a compressible 2D gas-liquid two-fluid model", Adv. Appl. Math. Mech., Vol 1 (2), pp 166-200, 2009.

• Yu, Evje, Fjelde, Kleppe et al, "Spontaneous Imbibition of Seawater into Preferentially Oil-Wet Chalk Cores - Experiments and Simulations", J. Pet. Sci. Eng., Vol 66, pp. 171-179, 2009.

• S. Evje and K.H. Karlsen "Global weak solutions for a viscous liquid-gas model with singular pressure law", Comm. Pure Appl. Anal, Vol 8 (6), pp 1867-1894, 2009.

• S.Evje, T.Flåtten and S.T.Munkejord, "A WIMF scheme for the drift-flux two-phase flow model", Multiphase Flow Research. Edt: S. Martin and J.R. Williams, Nova Science Publishers, Inc., 2009.

• S.Evje, T. Flåtten and H.A. Friis, "Global weak solutions for a viscous liquid-gas model with transition to single-phase gas flow and vacuum", Nonlinear Analysis TMA, Vol 70, pp. 3864--3886, 2009.

• Hiorth, a Lad, Evje, Skjæveland, "A Lattice Boltzmann-BGK algorithm for a diffusion equation with Robin boundary condition - application to NMR relaxation", Int. J. Num Meth Fluids, Vol 59, pp. 405-421, 2009.

• S.Evje and K.H.Karlsen, "Global existence of weak solutions for a viscous two-phase model", J. Diff. Equations, Vol 245, Issue 9, 2008, pp. 2660--2703.

• S.Evje, T.Flåtten and H.A. Friis, "On a relation between pressure-based schemes and central schemes for hyperbolic conservation laws", Num. Meth. Part. Diff. Eq., Vol 24, Issue 2, 2008, pp. 605-645.

• Yu, Evje, Fjelde, Kleppe et al, "Modelling of wettability alteration processes in carbonate oil reservoirs", Networks and Heterogeneous Media, Vol 3 (1), 149-183, 2008.

• S.Evje and K.H.Karlsen, "A hyperbolic-elliptic model for coupled well-porous media flow", In Eleventh International Conference on Hyperbolic Problems: Theory, Numerics, Applications (Lyon 2006). Edt: S. Benzoni-Gavage and D. Serre, Jan 28, 2008.

• S.Evje and T.Flåtten, "On the wave structure of two-phase flow models", SIAM J. Applied math., Vol 67 (2), pp. 487--511, 2007.

• S.Evje and K.H.Karlsen, "Hyperbolic-elliptic models for well-reservoir flow", Networks and Heterogeneous Media, Vol. 4 (1), 639-673, 2006.

• Munkejord S.T., Evje S., Flåtten T., "The multi-staged centred scheme approach applied to a drift-flux two-phase flow model", Int. J. Num. Meth. Fluids, Vol 52 (6), pp. 679-705, 2006.

• Evje, S., Flåtten, T. "CFL-violating numerical schemes for a two-fluid model", J. Sci. Comput, Vol 29 (1), pp. 83-114, 2006.

• Evje, S., Flåtten, T. "Hybrid central-upwind schemes for numerical resolution of two-phase flows", ESAIM: Math. Mod. Num. Anal., vol. 39, 2005, No. 2, pp. 253-273.

• Evje, S., Flåtten, T. "Weakly implicit numerical schemes for a two-fluid model", SIAM J. Sci. Comput., Vol. 26, 2005, No. 5, pp. 1449--1484.

• Evje, S., Flåtten, T. "Hybrid flux-splitting schemes for a common two-fluid model", J. Comput. Phys., Vol. 192, Issue 1, 2003, pp.175-210.

• Evje, S., Fjelde, K.K. "On a rough AUSM scheme for a one-dimensional two-phase model", Computers and Fluids, vol. 32 (2003) 10.

• Evje, S., Karlsen. K.H. "An error estimate for Viscous approximate soltuions of degenerate parabolic equations", Journal of Nonlinear Mathematical Physics, vol. 9 (2002) 3, 262-281.

• Evje, S., Fjelde, K.K. "Relaxation schemes for the calculation of two-phase flow in pipes", Mathematical and Computer Modelling, 36 (2002), 535-567.

• Evje, S., Fjelde, K. K. "Hybrid Flux-Splitting Schemes for a Two-Phase Model", J. Comp. Phys., 175 (2002), 674-701.

• Evje, S., Karlsen, K.H., Risebro, N.H. "A continuous dependence result result for nonlinear degenerate parabolic equations with spatially dependent flux function", In H. Freistüler and G. Warnecke, editors, "Hyperbolic problems: theory, numerics, applications", Int. Series of Numerical Mathematics, Vol. 140 (2001), 337-346, Birkhäuser Verlag.

• Bürger, R., Evje, S., Karlsen, K.H., Lie, K.-A. "Numerical methods for the simulation of the settling of flocculated suspensions", Chemical Engineering Journal. 80 (2000), 91-104.

• Evje, S., Karlsen, K.H., Lie, K.A., Risebro, N.H. "Front tracking and operator splitting for nonlinear degenerate convection-diffusion equations",”Parallel Solution of Partial Differential Equations”, IMA Volumes in Mathematics and its Applications 120 (2000), 209-228.

• Bürger, R., Evje, S., Karlsen, K.H. "On some degenerate convection-diffusion initial-boundary value problems with applications to sedimentation-consolidation processes and two-phase flow in porous media", J. Math. Anal. Appl. 247 (2000) 2, 517-556.

• Evje, S., Karlsen, K.H. "Monotone difference approximations of BV solutions to degenerate convection-diffusion equations", SIAM J. Numer. Anal. Vol. 37 (2000) 6, 1838-1860.

• Evje, S., Karlsen, K.H. "Discrete approximations of BV solutions to doubly nonlinear degenerate parabolic equations", Numer. Math. 86 (2000) 3, 377-417.

• Evje, S., Karlsen, K.H. "Degenerate convection-diffusion equations and implicit monotone difference schemes", The Proc. of the Seventh Int. Conf. on Hyp. Prob., Zürich, 1998, Int. Series of Numerical Mathematics, Vol. 129 (1999), 285-294, Birkhäuser Verlag.

• Evje, S., Karlsen, K.H. "Viscous splitting approximation of mixed hyperbolic-parabolic convection-diffusion equations", Numer. Math. 83 (1999) 1, 107-137.

• Karlsen, K.H. Brusdal, K., Dahle, H.K., Evje, S., Lie, K.-A. "The corrected operator splitting approach applied to a nonlinear advection-diffusion problems", Comput. Methods Appl. Mech. Engrg. 167 (1998), 239-260.