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1

On 3D DDFV Discretization of Gradient and Divergence Operators: Discrete Functional Analysis Tools and Applications to Degenerate Parabolic Problems

Andreianov, Boris, Bendahmane, Mostafa, Hubert, Florence

Journal:

Computational Methods in Applied Mathematics

Year:

2013

Language:

english

File:

PDF, 1.56 MB

english, 2013

2

L'approche «continue » pour une méthode de volumes finis

Boris P. Andreianov, Michaël Gutnic, Petra Wittbold

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

2001

File:

PDF, 123 KB

2001

3

On viscous limit solutions of the Riemann problem for the equations of isentropic gas dynamics in Eulerian coordinates

Andreianov, B P

Journal:

Russian Academy of Sciences Sbornik Mathematics

Year:

2003

Language:

english

File:

PDF, 262 KB

english, 2003

4

Finite volume methods for degenerate chemotaxis model

Boris Andreianov, Mostafa Bendahmane, Mazen Saad

Journal:

Journal of Computational and Applied Mathematics

Year:

2011

Language:

english

File:

PDF, 1.86 MB

english, 2011

5

DISCRETE DUALITY FINITE VOLUME SCHEMES FOR DOUBLY NONLINEAR DEGENERATE HYPERBOLIC-PARABOLIC EQUATIONS

ANDREIANOV, B., BENDAHMANE, M., KARLSEN, K. H.

Journal:

Journal of Hyperbolic Differential Equations

Year:

2010

Language:

english

File:

PDF, 880 KB

english, 2010

6

On 3D DDFV discretization of gradient and divergence operators. I. Meshing, operators and discrete duality

Andreianov, B., Bendahmane, M., Hubert, F., Krell, S.

Journal:

IMA Journal of Numerical Analysis

Year:

2012

Language:

english

File:

PDF, 594 KB

english, 2012

7

Besov regularity and new error estimates for finite volume approximations of the p-laplacian

Boris Andreianov, Franck Boyer, Florence Hubert

Journal:

Numerische Mathematik

Year:

2005

Language:

english

File:

PDF, 277 KB

english, 2005

8

Discrete Besov framework for finite volume approximation of the p -laplacian on non-uniform cartesian grids

Andreianov, Boris, Boyer, Franck, Hubert, Florence, Gerbeau, Jean-FrÃ©dÃ©ric, LabbÃ©, StÃ©phane

Journal:

ESAIM Proceedings

Year:

2007

File:

PDF, 204 KB

2007

9

Nonlocal dissipation measure and L 1 kinetic theory for fractional conservation laws

Alibaud, NathaÃ«l, Andreianov, Boris, OuÃ©draogo, Adama

Journal:

Communications in Partial Differential Equations

Year:

2020

File:

PDF, 2.75 MB

2020

10

L1-Theory of Scalar Conservation Law with Continuous Flux Function

Boris P. Andreianov, Philippe Bénilan, Stanislav N. Kruzhkov

Journal:

Journal of Functional Analysis

Year:

2000

Language:

english

File:

PDF, 221 KB

english, 2000

11

Revising uniqueness for a nonlinear diffusion–convection equation

B. Andreianov, N. Igbida

Journal:

Journal of Differential Equations

Year:

2006

Language:

english

File:

PDF, 122 KB

english, 2006

12

Well-posedness results for triply nonlinear degenerate parabolic equations

B. Andreianov, M. Bendahmane, K.H. Karlsen, S. Ouaro

Journal:

Journal of Differential Equations

Year:

2009

Language:

english

File:

PDF, 327 KB

english, 2009

13

Scalar conservation laws with nonlinear boundary conditions

Boris Andreianov, Karima Sbihi

Journal:

Comptes Rendus Mathematique

Year:

2007

Language:

english

File:

PDF, 129 KB

english, 2007

14

Well-posedness of general boundary-value problems for scalar conservation laws

Andreianov, Boris, Sbihi, Karima

Journal:

Transactions of the American Mathematical Society

Year:

2015

Language:

english

File:

PDF, 962 KB

english, 2015

15

Erratum to: Semigroups of max-plus linear operators

Andreianov, Boris, Fijavž, Marjeta Kramar, Peperko, Aljoša, Sikolya, Eszter

Journal:

Semigroup Forum

Year:

2017

Language:

english

File:

PDF, 322 KB

english, 2017

16

Discrete duality finite volume schemes for Leray−Lions−type elliptic problems on general 2D meshes

Boris Andreianov, Franck Boyer, Florence Hubert

Journal:

Numerical Methods for Partial Differential Equations

Year:

2007

Language:

english

File:

PDF, 466 KB

english, 2007

17

The Godunov scheme for scalar conservation laws with discontinuous bell-shaped flux functions

Boris Andreianov, Clément Cancès

Journal:

Applied Mathematics Letters

Year:

2012

Language:

english

File:

PDF, 329 KB

english, 2012

18

On uniqueness and existence of entropy solutions for a nonlinear parabolic problem with absorption

Boris Andreianov, Karima Sbihi, Petra Wittbold

Journal:

Journal of Evolution Equations

Year:

2008

Language:

english

File:

PDF, 335 KB

english, 2008

19

Vanishing capillarity solutions of Buckley–Leverett equation with gravity in two-rocks’ medium

Boris Andreianov,Clément Cancès

Journal:

Computational Geosciences

Year:

2013

Language:

english

File:

PDF, 1.05 MB

english, 2013

20

Entropy conditions for scalar conservation laws with discontinuous flux revisited

Andreianov, Boris, Mitrović, Darko

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

2014

Language:

english

File:

PDF, 1.40 MB

english, 2014

21

On the finite-volume approximation of regular solutions of the p-Laplacian

Journal:

IMA Journal of Numerical Analysis

Year:

2005

Language:

english

File:

PDF, 256 KB

english, 2005

22

New approaches to describing admissibility of solutions of scalar conservation laws with discontinuous flux

Andreianov, Boris, Boyer, Franck, Gallouet, Thierry, Herbin, RaphaÃ¨le, Hubert, Florence

Journal:

ESAIM: Proceedings and Surveys

Year:

2015

File:

PDF, 682 KB

2015

23

A nonlinear time compactness result and applications to discretization of degenerate parabolic-elliptic PDEs

Andreianov, Boris, Cancès, Clément, Moussa, Ayman

Journal:

Journal of Functional Analysis

Year:

2017

Language:

english

File:

PDF, 472 KB

english, 2017

24

Non-uniqueness of weak solutions for the fractal Burgers equation

Nathaël Alibaud, Boris Andreianov

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

2010

Language:

english

File:

PDF, 289 KB

english, 2010

25

A note on uniqueness of entropy solutions to degenerate parabolic equations in({mathbb{R}^N})

Boris Andreianov, Mohamed Maliki

Journal:

Nonlinear Differential Equations and Applications NoDEA

Year:

2010

Language:

english

File:

PDF, 203 KB

english, 2010

26

The cronos hydrogen maser clock redshift experiment on Radioastron

G. Busca, L.G. Bernier, H. Schweda, N. Kardashev, V. Andreianov, I.W. Roxburgh, S. Polnarev

Journal:

Advances in Space Research

Year:

2003

Language:

english

File:

PDF, 675 KB

english, 2003

27

Uniqueness for inhomogeneous Dirichlet problem for elliptic–parabolic equations

Andreianov, Boris P., Igbida, Noureddine

Journal:

Proceedings of the Royal Society of Edinburgh Section A Mathematics

Year:

2007

Language:

english

File:

PDF, 206 KB

english, 2007

28

On interface transmission conditions for conservation laws with discontinuous flux of general shape

Andreianov, Boris, Cancès, Clément

Journal:

Journal of Hyperbolic Differential Equations

Year:

2015

Language:

english

File:

PDF, 634 KB

english, 2015

29

Finite volume schemes for the p-Laplacian on Cartesian meshes

Andreianov, Boris, Boyer, Franck, Hubert, Florence

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

2004

Language:

english

File:

PDF, 399 KB

english, 2004

30

Convergence of Finite Volume Approximations for a Nonlinear Elliptic-Parabolic Problem: A "Continuous" Approach

Andreianov, Boris A., Gutnic, Michaël, Wittbold, Petra

Journal:

SIAM Journal on Numerical Analysis

Year:

2004

Language:

english

File:

PDF, 307 KB

english, 2004

31

Entropy formulation of degenerate parabolic equation with zero-flux boundary condition

Boris Andreianov…

Journal:

Zeitschrift für Angewandte Mathematik und Physik (ZAMP)

Year:

2013

Language:

english

File:

PDF, 356 KB

english, 2013

32

On uniqueness techniques for degenerate convection-diffusion problems

Andreianov, Boris, Igbida, Noureddine

Journal:

International Journal of Dynamical Systems and Differential Equations

Year:

2012

Language:

english

File:

PDF, 265 KB

english, 2012

33

Uniqueness for an elliptic-parabolic problem with Neumann boundary condition

Boris P. Andreianov, Fouzia Bouhsiss

Journal:

Journal of Evolution Equations

Year:

2004

Language:

english

File:

PDF, 220 KB

english, 2004

34

Crowd dynamics and conservation laws with nonlocal constraints and capacity drop

Andreianov, Boris, Donadello, Carlotta, Rosini, Massimiliano D.

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2014

Language:

english

File:

PDF, 966 KB

english, 2014

35

Approximating the vanishing capillarity limit of two-phase flow in multi-dimensional heterogeneous porous medium

Andreianov, B., Brenner, K., Cancès, C.

Journal:

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik

Year:

2014

Language:

english

File:

PDF, 508 KB

english, 2014

36

On the attainable set for a class of triangular systems of conservation laws

Andreianov, Boris, Donadello, Carlotta, Ghoshal, Shyam Sundar, Razafison, Ulrich

Journal:

Journal of Evolution Equations

Year:

2015

Language:

english

File:

PDF, 526 KB

english, 2015

37

Qualitative behaviour and numerical approximation of solutions to conservation laws with non-local point constraints on the flux and modeling of crowd dynamics at the bottlenecks

Andreianov, Boris, Donadello, Carlotta, Razafison, Ulrich, Rosini, Massimiliano D.

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

2016

Language:

english

File:

PDF, 878 KB

english, 2016

38

A Theory ofL1-Dissipative Solvers for Scalar Conservation Laws with Discontinuous Flux

Boris Andreianov, Kenneth Hvistendahl Karlsen, Nils Henrik Risebro

Journal:

Archive for Rational Mechanics and Analysis

Year:

2011

Language:

english

File:

PDF, 779 KB

english, 2011

39

Convergence of Finite Volume Approximations for a Nonlinear Elliptic-Parabolic Problem: A "Continuous" Approach

Boris A. Andreianov, Michaël Gutnic and Petra Wittbold

Journal:

SIAM Journal on Numerical Analysis

Year:

2005

Language:

english

File:

PDF, 703 KB

english, 2005

40

Finite volume schemes for locally constrained conservation laws

Boris Andreianov, Paola Goatin, Nicolas Seguin

Journal:

Numerische Mathematik

Year:

2010

Language:

english

File:

PDF, 621 KB

english, 2010

41

A second-order model for vehicular traffics with local point constraints on the flow

Andreianov, Boris, Donadello, Carlotta, Rosini, Massimiliano Daniele

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2016

Language:

english

File:

PDF, 936 KB

english, 2016

42

Structural stability for variable exponent elliptic problems, I: The -Laplacian kind problems

B. Andreianov, M. Bendahmane, S. Ouaro

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2010

Language:

english

File:

PDF, 694 KB

english, 2010

43

Renormalized solutions of the fractional Laplace equation

Nathaël Alibaud, Boris Andreianov, Mostafa Bendahmane

Journal:

Comptes Rendus Mathematique

Year:

2010

Language:

english

File:

PDF, 144 KB

english, 2010

44

Finite volume approximation of degenerate two-phase flow model with unlimited air mobility

Boris Andreianov, Robert Eymard, Mustapha Ghilani, Nouzha Marhraoui

Journal:

Numerical Methods for Partial Differential Equations

Year:

2012

Language:

english

File:

PDF, 629 KB

english, 2012

45

On the Attainable Set for a Scalar Nonconvex Conservation Law

Andreianov, Boris P., Donadello, Carlotta, Marson, Andrea

Journal:

SIAM Journal on Control and Optimization

Year:

2017

Language:

english

File:

PDF, 798 KB

english, 2017

46

Analysis and approximation of one-dimensional scalar conservation laws with general point constraints on the flux

Andreianov, Boris, Donadello, Carlotta, Razafison, Ulrich, Rosini, Massimiliano D.

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2018

File:

PDF, 1.11 MB

2018

47

Structural stability for variable exponent elliptic problems, II: The -Laplacian and coupled problems

B. Andreianov, M. Bendahmane, S. Ouaro

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2010

Language:

english

File:

PDF, 444 KB

english, 2010

48

Convergence of approximate solutions to an elliptic–parabolic equation without the structure condition

Boris Andreianov, Petra Wittbold

Journal:

Nonlinear Differential Equations and Applications NoDEA

Year:

2012

Language:

english

File:

PDF, 369 KB

english, 2012

49

Well-Posedness for a One-Dimensional Fluid-Particle Interaction Model

Andreianov, Boris, Lagoutière, Frédéric, Seguin, Nicolas, Takahashi, Takéo

Journal:

SIAM Journal on Mathematical Analysis

Year:

2014

Language:

english

File:

PDF, 307 KB

english, 2014

50

ANALYSIS OF A FINITE VOLUME METHOD FOR A CROSS-DIFFUSION MODEL IN POPULATION DYNAMICS

ANDREIANOV, BORIS, BENDAHMANE, MOSTAFA, RUIZ-BAIER, RICARDO

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2011

Language:

english

File:

PDF, 3.54 MB

english, 2011

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