{"id":71,"date":"2019-12-26T08:09:02","date_gmt":"2019-12-26T07:09:02","guid":{"rendered":"https:\/\/www.idpoisson.fr\/andreianov\/en\/?page_id=71"},"modified":"2023-10-08T09:42:34","modified_gmt":"2023-10-08T07:42:34","slug":"research","status":"publish","type":"page","link":"https:\/\/www.idpoisson.fr\/andreianov\/research\/","title":{"rendered":"Research"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">Topics:<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Conservation laws, degenerate parabolic PDEs<\/li>\n\n\n\n<li>Nonlinear and fractional diffusion<\/li>\n\n\n\n<li>Models of road and pedestrian traffic<\/li>\n\n\n\n<li>Analysis of Finite Volume methods, discrete functional analysis<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Talks :<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Workshop on PDE\/Probability Interactions&nbsp;: Particle Systems, Hyperbolic Conservation Laws (CIRM, Luminy, FRANCE), October 2019<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/beamer-cirm2019.pdf\"><em>Flux-constrained conservation laws&nbsp;: modeling, analysis, many-particles\u2019 approximation<\/em><\/a><br>.<\/li>\n\n\n\n<li>PDE, numerical analysis and modelling seminar Institut Camille Jordan (Lyon, FRANCE), June 2019<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/beamer-lyon-june2019.pdf\"><em>A framework for interface coupling of conservation laws and applications<\/em><\/a><br>.<\/li>\n\n\n\n<li>Congr\u00e8s SMAI 2019 (Guidel, FRANCE), May 2019<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/beamer-a-mgk-smai2019.pdf\"><em>Sur la convergence des sch\u00e9mas monotones pour les probl\u00e8mes d\u2019\u00e9volution&nbsp;L1L1-contractants (slides in English)<\/em><\/a><br>.<\/li>\n\n\n\n<li>PDE seminar in Bordeaux (France), February 2019<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/...3945\">Notions of solution for conservation laws with fractional diffusion<\/a><br>.<\/li>\n\n\n\n<li>CANUM 2018 (Cap d\u2019Agde, FRANCE), June 2018<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/beamer-abr-canum2018.pdf\"><em>Existence des solutions et approximation volumes finis pour certains syst\u00e8mes de diffusion crois\u00e9e (slides in English)<\/em><\/a><br>.<\/li>\n\n\n\n<li>Nonlinear Analysis Workgroup ENS Paris\/Univ. Paris 6-7, June 2016 \/<br>PDE and Numerical Analysis seminar Univ. Nantes February 2017\/<br>Analysis seminar NTNU Trondheim, Norway August 2017<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/beamer-nantes-oct2017.pdf\"><em>Conservation laws with point constraints&nbsp;: analysis, approximation, modeling of road and pedestrian traffic<\/em><\/a><br>.<\/li>\n\n\n\n<li>Analysis and Control on Networks&nbsp;: trends and perspectives, Padua, Italy, March 2016<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/talkpadovamars2016.pdf\"><em>Well-posedness for some LWR models on a junction<\/em><\/a><br>.<\/li>\n\n\n\n<li>CEA-EDF-INRIA School New Trends in Compatible Discretizations, Rocquencourt, July 2015<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/andreianov-part_i.pdf\"><em>Formulation and analysis of Discrete Duality Finite Volume schemes.<br>Part I&nbsp;: 2D Co-volume scheme for p(x)-laplacian and use of discrete duality<\/em><\/a>,<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/andreianov-part_ii.pdf\"><em>Part II&nbsp;: 2D and 3D DDFV schemes<\/em><\/a>,<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/andreianov-part_iii.pdf\"><em>Part III&nbsp;: detailed presentation of 3D CeVeFE-DDFV scheme<\/em><\/a><br>.<\/li>\n\n\n\n<li>NumHyp 2015, 4th Conference on numerical approximation of hyperbolic systems with source terms and aplications, Cortona, Italy June 2015<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/numhyp2015-beamer.pdf\"><em>Well-balanced Finite Volume schemes for scalar discontinuous-flux conservation laws<\/em><\/a><br>.<\/li>\n\n\n\n<li>Tours, March 2015 <br>and <br>GSSI, l\u2019Aquila, Italy, June 2015<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/tours2015-beamer.pdf\"><em>In\u00e9galit\u00e9s de Kato pour les probl\u00e8mes de convection-diffusion scalaires (French)<\/em><\/a><em><br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/l_aquila2015-beamer.pdf\"><em>Kato inequalities for scalar convection-diffusion problems<\/em><\/a><\/em><br>.<\/li>\n\n\n\n<li><em>27i\u00e8me s\u00e9minaire CEA-GAMNI, IHP, Paris, february 2015<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/beamer-cea-gamni-2015.pdf\"><em>Analysis and approximation of particle-in-Burgers model<\/em><\/a><\/em><br>.<\/li>\n\n\n\n<li><em>Journ\u00e9es d\u2019Analyse Non Lin\u00e9aire, June 19-20, 2014, Besan\u00e7on<br>and<br>S\u00e9minaire du Laboratoire Jacques-Louis Lions, June 27, 2014, Paris VI<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/beamerpres-ljll2014.pdf\"><em>Notions of solution for conservation laws with fractional diffusion<\/em><\/a><\/em><br>.<\/li>\n\n\n\n<li><em>CANUM 2014&nbsp;: 42i\u00e8me Congr\u00e8s National d\u2019Analyse Num\u00e9rique, Carry Le-Rouet, April 2014<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/canum2014-beamer.pdf\"><em>Caract\u00e9risation et approximation des limites singuli\u00e8res&nbsp;: le cas des lois de conservation<\/em>&nbsp;(French)<\/a><\/em><br>.<\/li>\n\n\n\n<li><em>9th DFG-CNRS Workshop on Two-Phase Fluid Flows, Paris VI, february 2014<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/expose-CNRSDFG2014-LJLL.pdf\"><em>On quasi-Richards equation and finite volume approximation of two-phase flow with unlimited air mobility<\/em><\/a><\/em><br>.<\/li>\n\n\n\n<li><em>EquaDiff13, Prague, Czech Republic, August 2013<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/Equadiff2013Prague-Beamer.pdf\">On hyperbolic-parabolic equations with discontinuous flux, or How much information should be contained in (adapted) entropy inequalities&nbsp;?<\/a><\/em><br>.<\/li>\n\n\n\n<li><em>Congress Nonlinear Partial Differential Equations in honor of J. Maz\u00f3n 60th anniversary, Valencia, Spain, July 2013<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/ValenciaMazon60-Beamer.pdf\"><em>Formulation and well-posedness of a nonlinear parabolic problem with inhomogeneous absorption<\/em><\/a><\/em><br>.<\/li>\n\n\n\n<li><em>SIAM Conference on Mathematical and Computational Issues in Geosciences, Padua, Italy, June 2013<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/SIAMGS-Padova.pdf\"><em>A phase-by-phase upstream scheme that converges to the right solution for countercurrent two-phase flow in two-rocks media<\/em><\/a><\/em><br>.<\/li>\n\n\n\n<li><em>Oberwolfach workshop &#8220;Hyperbolic techniques for phase dynamics&#8221;, June 2013<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/OberwolfachJune2013-Beamer.pdf\"><em>Hyperbolic techniques for scalar degenerate parabolic problems<\/em><\/a><\/em><br>.<\/li>\n\n\n\n<li><em>8th DFG-CNRS Workshop on Two-Phase Fluid Flows, WIAS Berlin, february 2013<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/TalkDFG-CNRSWorkshop2013-Andreianov.pdf\"><em>Solutions of Buckley-Leverett equation in heterogeneous medium and their approximation<\/em><\/a><\/em><br>.<\/li>\n\n\n\n<li><em>MoMaS workshop on two-phase flows, Nice, october 2012<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/expose-MoMaS2012-Nice.pdf\"><em>On &#8220;quasi-Richards\u2019\u2019 equation and finite volume approximation of two-phase flow with unlimited air mobility<\/em><\/a><\/em><br>.<\/li>\n\n\n\n<li><em>6th European Congress of Mathematics (mini-symposium on Hyperbolic Conservation Laws), Krakow, Poland, July 2012<br>and<br>Advances in Nonlinear PDEs, International conference in honour of Prof. Adimurthi, Bangalore, India, June 2012<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/Andreianov-talkKrakow2012-Beamer.pdf\"><em>Conservation Laws with discontinuous flux and applications<\/em><\/a><\/em><br>.<\/li>\n\n\n\n<li><em>14th international conference on Hyperbolic problems HYP2012, Padua, Italy, June 2012<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/Padova-HYP2012-Beamer.pdf\"><em>Generalizing the Bardos-LeRoux-N\u00e9d\u00e9lec boundary condition for scalar conservation laws<\/em><\/a><\/em><br>.<\/li>\n\n\n\n<li><em>Workshop &#8220;Recent Trends in Differential Equations&nbsp;: Analysis and Discretization Methods&#8221;, Bielefeld, Nov. 2011<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/Beamer-TalkRenormNonlocal-Bielefeld.pdf\"><em>Renormalized solutions adapted to the fractal Laplace operator<\/em><\/a><\/em><br>.<\/li>\n\n\n\n<li><em>Workshop &#8220;Hyperbolic Conservation Laws and Related Analysis with Applications&#8221;, Edinburgh, Sept. 2011<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/Andreianov-talkEdinburgh2011-Beamer.pdf\"><em>A particle-in-Burgers model&nbsp;: theory and numerics<\/em><\/a><\/em><br>.<\/li>\n\n\n\n<li><em>CEMRACS\u201911, CIRM, Luminy<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/Andreianov-talkCEMRACS-ABK-FV.pdf\"><em>Degenerate nonlinear parabolic-hyperbolic equations and their finite volume approximation<\/em><\/a><\/em><br>.<\/li>\n\n\n\n<li><em>FVCA 6, Prague, Czech Republic<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/Andreianov-talkFVCA6-Beamer.pdf\"><em>Time compactness tools for discretized evolution equations and applications to degenerate parabolic PDEs<\/em><\/a><\/em><br>.<\/li>\n\n\n\n<li><em>Mamern\u201911, Saidia, Morocco<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/Andreianov-talkHyperb-Mamern2011-Beamer.pdf\"><em>On conservation laws with discontinuous flux in the porous medium context<\/em><\/a><\/em><br>.<\/li>\n\n\n\n<li><em>Bordeaux II, 2011<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/Andreianov-talkBordeaux2-2011-Beamer.pdf\"><em>Attractors of reaction-diffusion systems via a preconditioning technique<\/em><\/a><\/em><br>.<\/li>\n\n\n\n<li><em>HYP2010 Beijing, China<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/Andreianov-talkBeijing2010-Beamer.pdf\"><em>Dissipative coupling of scalar conservation laws across an interface&nbsp;: theory and applications<\/em><\/a><\/em><br>.<\/li>\n\n\n\n<li><em>Hyperbolic Month in Parma, 2010<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/BeamerPres-Parma-Feb10-AA.pdf\"><em>Weak and entropy solutions to fractional conservation laws<\/em><\/a><\/em><br>.<\/li>\n\n\n\n<li><em>Orsay 2009<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/Beamer-AGS-Orsay2009.pdf\"><em>Theory and numerics for locally constrained conservation laws<\/em><\/a><\/em><br>.<\/li>\n\n\n\n<li><em>Rennes (Ker Lann) 2009<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/Beamer-ABR-KerLann2009.pdf\"><em>On certain cross-diffusion systems and their Finite Volume approximation<\/em><\/a><\/em><br>.<\/li>\n\n\n\n<li><em>Toulouse 2009<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/BeamerPres-ToulouseJan09-ABO.pdf\"><em>Stability of solutions of the p(x)-laplacian and numerical approximation<\/em><\/a><\/em><br>.<\/li>\n\n\n\n<li><em>Mathematical Modelling and Computing in Electrocardiology, Nantes 2009<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/BeamerPres-NantesJune09-ABK.pdf\"><em>Convergence of finite volume schemes for the macroscopic bidomain model of the heart electric activity<\/em><\/a><\/em><br>.<\/li>\n\n\n\n<li><em>FVCA 4, Marrakesh, Morocco, 2005<br><a href=\"http:\/\/lmb.univ-fcomte.fr\/IMG\/pdf\/BeamerPres-Hubert_fvca4-2005.pdf\"><em>\u201cDuplex\u201d finite-volume schemes for nonlinear elliptic problems on general 2D meshes<\/em><\/a><\/em><br>.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Topics: Talks 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