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Lack of controllability of the viscous Burgers equation.Part I: The L^∞ setting.
Boris Andreianov
,
Shyam Sundar Ghoshal
,
Konstantinos Koumatos
Journal of Evolution Equations, inPress
Article dans une revue
hal-02497181v3
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A nonlinear time compactness result and applications to discretization of degenerate parabolic-elliptic PDEs
Boris Andreianov
,
Clément Cancès
,
Ayman Moussa
Article dans une revue
hal-01142499v1
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Solvability analysis and numerical approximation of linearized cardiac electromechanics
Boris Andreianov
,
Mostafa Bendahmane
,
Alfio Quarteroni
,
Ricardo Ruiz-Baier
Article dans une revue
hal-01256811v1
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Well-posedness of general boundary-value problems for scalar conservation laws
Boris Andreianov
,
Karima Sbihi
Article dans une revue
hal-00708973v3
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Entropy conditions for scalar conservation laws with discontinuous flux revisited
Boris Andreianov
,
Darko Mitrović
Article dans une revue
hal-00978482v2
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Solvability analysis and numerical approximation of linearized cardiac electromechanics
Boris Andreianov
,
Mostafa Bendahmane
,
Alfio Quarteroni
,
Ricardo Ruiz Baier
Article dans une revue
hal-00865585v3
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On the attainable set for a class of triangular systems of conservation laws
Boris Andreianov
,
Carlotta Donadello
,
Shyam Sundar Ghoshal
,
Ulrich Razafison
Article dans une revue
hal-00967600v1
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On interface transmission conditions for conservation laws with discontinuous flux of general shape
Boris Andreianov
,
Clément Cancès
Article dans une revue
hal-00940756v2
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A phase-by-phase upstream scheme that converges to the vanishing capillarity solution for countercurrent two-phase flow in two-rocks media
Boris Andreianov
,
Clément Cancès
Computational Geosciences, 2014, 18 (2), pp.211-226
Article dans une revue
hal-00833522v1
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Crowd dynamics and conservation laws with non-local constraints and capacity drop
Boris Andreianov
,
Carlotta Donadello
,
Massimiliano D. Rosini
Article dans une revue
hal-00816449v2
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Approximating the vanishing capillarity limit of two-phase flow in multi-dimensional heterogeneous porous medium
Boris Andreianov
,
Konstantin Brenner
,
Clément Cancès
Journal of Applied Mathematics and Mechanics, 2014, 94 (7-8), pp.651-667
Article dans une revue
hal-00744359v1
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Well-posedness for a one-dimensional fluid-particle interaction model
Boris Andreianov
,
Frédéric Lagoutière
,
Nicolas Seguin
,
Takéo Takahashi
SIAM Journal on Mathematical Analysis, 2014, 46 (2)
Article dans une revue
hal-00789315v1
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Vanishing capillarity solutions of Buckley-Leverett equation with gravity in two-rocks' medium
Boris Andreianov
,
Clément Cancès
Computational Geosciences, 2013, 17 (3), pp.551-572
Article dans une revue
hal-00631584v2
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Entropy formulation of degenerate parabolic equation with zero-flux boundary condition
Boris Andreianov
,
Mohamed Karimou Gazibo
Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2013, 164 (5), pp. 1471-1491. ⟨10.1007/s00033-012-0297-6⟩
Article dans une revue
hal-00697593v2
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On 3D DDFV discretization of gradient and divergence operators. II. Discrete functional analysis tools and applications to degenerate parabolic problems.
Boris Andreianov
,
Mostafa Bendahmane
,
Florence Hubert
Article dans une revue
hal-00567342v3
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Preconditioning operators and $L^\infty$ attractor for a class of reaction-diffusion systems
Boris Andreianov
,
Halima Labani
Article dans une revue
hal-00522783v1
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On uniqueness techniques for degenerate convection-diffusion problems
Boris Andreianov
,
Noureddine Igbida
Article dans une revue
hal-00553819v1
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Convergence of approximate solutions to an elliptic-parabolic equation without the structure condition
Boris Andreianov
,
Petra Wittbold
Article dans une revue
hal-00608521v1
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Finite volume approximation of degenerate two-phase flow model with unlimited air mobility
Boris Andreianov
,
Robert Eymard
,
Mustapha Ghilani
,
Nouzha Marhraoui
Numerical Methods for Partial Differential Equations, 2012, 29 (2), pp. 441-474. ⟨10.1002/num.21715⟩
Article dans une revue
hal-00606955v1
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Analysis of a Burgers equation with singular resonant source term and convergence of well-balanced schemes [Well-posedness of a singular balance law]
Boris Andreianov
,
Nicolas Seguin
Article dans une revue
hal-00576959v1
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The Godunov scheme for scalar conservation laws with discontinuous bell-shaped flux functions
Boris Andreianov
,
Clément Cancès
Applied Mathematics Letters, 2012, 25, pp.1844--1848
Article dans une revue
hal-00631586v2
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On 3D DDFV discretization of gradient and divergence operators. I. Meshing, operators and discrete duality.
Boris Andreianov
,
Mostafa Bendahmane
,
Florence Hubert
,
Stella Krell
Article dans une revue
hal-00355212v3
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Finite volume methods for degenerate chemotaxis model
Boris Andreianov
,
Mostafa Bendahmane
,
Mazen Saad
Article dans une revue
hal-01737856v1
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A theory of L^1-dissipative solvers for scalar conservation laws with discontinuous flux
Boris Andreianov
,
Kenneth Hvistendahl Karlsen
,
Nils Henrik Risebro
Article dans une revue
hal-00475840v1
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Convergence of discrete duality finite volume schemes for the cardiac bidomain model
Boris Andreianov
,
Mostafa Bendahmane
,
Kenneth Hvistendahl Karlsen
,
Charles Pierre
Networks and Heterogeneous Media, 2011, In Press, pp.1-45
Article dans une revue
hal-00526047v2
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Analysis of a finite volume method for a cross-diffusion model in population dynamics
Boris Andreianov
,
Mostafa Bendahmane
,
Ricardo Ruiz Baier
Article dans une revue
hal-00458737v2
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Non-uniqueness of weak solutions for the fractal Burgers equation
Nathael Alibaud
,
Boris Andreïanov
Article dans une revue
hal-00405892v3
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Structural stability for variable exponent elliptic problems. I. The $p(x)$-laplacian kind problems.
Boris Andreianov
,
Mostafa Bendahmane
,
Stanislas Ouaro
Article dans une revue
hal-00363284v3
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A note on uniqueness of entropy solutions to degenerate parabolic equations in $\mathbb{R}^N$.
Boris Andreianov
,
Mohamed Maliki
Article dans une revue
hal-00378475v2
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Renormalized solutions of the fractional Laplace equation
Nathael Alibaud
,
Boris Andreianov
,
Mostafa Bendahmane
Article dans une revue
hal-01208279v1
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On vanishing viscosity approximation of conservation laws with discontinuous flux.
Boris Andreianov
,
Kenneth Hvistendahl Karlsen
,
Nils Henrik Risebro
Article dans une revue
hal-00438203v1
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Finite volume schemes for constrained conservation laws
Paola Goatin
,
Nicolas Seguin
,
Boris Andreianov
Numerische Mathematik, 2010, 115 (4), pp.609-645
Article dans une revue
inria-00534872v1
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Small solids in an inviscid fluid
Boris Andreianov
,
Frédéric Lagoutière
,
Nicolas Seguin
,
Takéo Takahashi
Article dans une revue
hal-00590617v1
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Finite volume schemes for locally constrained conservation laws
Boris Andreianov
,
Paola Goatin
,
Nicolas Seguin
Article dans une revue
hal-00387806v1
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Discrete duality finite volume schemes for doubly nonlinear degenerate hyperbolic-parabolic equations
Boris Andreianov
,
Mostafa Bendahmane
,
Kenneth Hvistendahl Karlsen
Article dans une revue
hal-00475752v1
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Structural stability for variable exponent elliptic problems. II. The $p(u)$-laplacian and coupled problems.
Boris Andreianov
,
Mostafa Bendahmane
,
Stanislas Ouaro
Article dans une revue
hal-00402869v1
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Well-posedness results for triply nonlinear degenerate parabolic equations.
Boris Andreianov
,
Mostafa Bendahmane
,
Kenneth Hvistendahl Karlsen
,
Stanislas Ouaro
Article dans une revue
hal-00475758v1
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On uniqueness and existence of entropy solutions for a nonlinear parabolic problem with absorption.
Boris Andreianov
,
Karima Sbihi
,
Petra Wittbold
Article dans une revue
hal-00475748v1
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Discrete duality finite volume schemes for Leray-Lions type elliptic problems on general 2D meshes
Boris Andreianov
,
Franck Boyer
,
Florence Hubert
Numerical Methods for Partial Differential Equations, 2007, 23, pp 145-195. ⟨10.1002/num.20170⟩
Article dans une revue
hal-00005779v2
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Uniqueness for inhomogeneous Dirichlet problem for elliptic-parabolic equations
Boris Andreianov
,
Noureddine Igbida
Article dans une revue
hal-00475857v1
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Scalar conservation laws with nonlinear boundary conditions
Boris Andreianov
,
Karima Sbihi
Article dans une revue
hal-00475852v1
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On the finite-volume approximation of regular solutions of the $p$-Laplacian
Boris Andreianov
,
Franck Boyer
,
Florence Hubert
Article dans une revue
hal-00475905v1
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Revising uniqueness for a nonlinear diffusion-convection equation
Boris Andreianov
,
Noureddine Igbida
Article dans une revue
hal-00475860v1
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Besov regularity and new error estimates for finite volume approximations of the p-laplacian
Boris Andreianov
,
Franck Boyer
,
Florence Hubert
Article dans une revue
hal-00004419v1
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Finite volume schemes for the p-laplacian on cartesian meshes
Boris Andreianov
,
Franck Boyer
,
Florence Hubert
Article dans une revue
hal-00004088v1
|
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"Convergence of Finite Volume Approximations for a Nonlinear Elliptic-Parabolic Problem: a ""Continuous"" Approach."
Boris Andreianov
,
Michaël Gutnic
,
Petra Wittbold
SIAM Journal on Numerical Analysis, 2003, 42 (1), pp.228-251
Article dans une revue
hal-00129680v1
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