Recherche

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K. Brenner, C. Cancès, D. Hilhorst, Finite volume approximation for an immiscible
two-phase flow in porous media with discontinuous capillary pressure,
HAL: hal-00675681, 2012 (pdf).
C. Cancès, M. Cathala, Ch. Le Potier, Monotone coercive cell-centered finite volume
schemes for anisotropic diffusion equations, HAL: hal-00643838, 2011 (pdf).
B. Andreianov, C. Cancès, Vanishing capillarity solutions of Buckley-Leverett equation
with gravity in two-rocks’ medium, HAL : hal-00631584, 2011 (pdf).
C. Cancès, C. Choquet, Y. Fan, I.S. Pop, Existence of weak solutions to a degenerate
pseudo-parabolic equation modeling two-phase flow in porous media,
CASA-Report 10-75, 2010 (pdf).
C. Cancès, N. Seguin, Error estimate for Godunov approximation of locally constrained
conservation laws, HAL : hal-00599581, 2011 (pdf).
C. Cancès, I.S. Pop, M. Vohralik, An a posteriori error estimate for vertex-centered
finite volume discretizations of immiscible incompressible two-phase flow,
HAL : hal-00623209, 2011 (pdf)

C. Cancès, M. Pierre, An existence result for multidimensional immiscible two-phase flows with discontinuous capillary pressure field, SIAM J. Math. Anal., 2012, 44 (2), pp. 966-992 (pdf).

B. Andreianov, C. Cancès, The Godunov scheme for scalar conservation laws with
discontinuous bell-shaped flux functions, Appl. Math. Letters, 2012, pp. 1-6
(DOI: 10.1016/j.aml.2012.02.044) (pdf).

Cancès, C., Gallouët, T., On the time continuity of entropy solutions,
J. Evol. Equ., 2011, 11 (1), pp. 43-55 (DOI: 10.1007/s00028-010-0080-0) (pdf).
Cancès, C., Asymptotic behavior of two-phase flows in heterogeneous porous media for
capillarity depending only on space. I. Convergence to the optimal entropy solution,
SIAM J. Math. Anal., 2010, 42 (2), pp. 946-971 (pdf).

Cancès, C., Asymptotic behavior of two-phase flows in heterogeneous porous media for
capillarity depending only on space. II. Non-classical shocks to model oil-trapping,
SIAM J. Math. Anal., 2010, 42 (2), pp. 972-995 (pdf).
Cancès, C., Finite volume scheme for two-phase flow in heterogeneous porous media
involving capillary pressure discontinuities, M2AN, 2009, 43, pp. 973-1001 (pdf).
Cancès, C., Gallouët, T., Porretta, A., Two-phase flows involving capillary barriers in
heterogeneous porous media, Interfaces and Free Bound., 2009, 11, pp. 239-258 (pdf).
Cancès, C., Nonlinear parabolic equation with spatial discontinuities,
NoDEA, 2008, 15, pp 427-456 (pdf).

Cancès, C., Two-phase Flows Involving Discontinuities on the Capillary Pressure,
Finite volumes for complex applications V: problems and perspectives
Robert Eymard and Jean-Marc Hérard (Eds), Hermes, 2008 (pdf).
Cancès, C., On the effects of discontinuous capillarities for immiscible two-phase
flows in porous media made of several rock-types, NHM, A special issue New Trends
in Model Coupling, Theory, Numerics and Applications, 2010, 5 (3), pp. 635-647 (pdf).
K. Brenner, C. Cancès, D. Hilhorst, A Convergent Finite Volume Scheme for
Two-Phase Flows in Porous Media with Discontinuous Capillary Pressure Field,
Finite volumes for complex applications VI, 2011 (pdf).
C. Cancès, C. Choquet, Y. Fan, I.S. Pop, An existence result related to two-phase flows
with dynamic capillary pressure, MAMERN, 2011 (pdf).