![](/fileadmin/_processed_/f/5/csm_profil_picture_6925b5918b.jpg)
Alexandre Poulain
Publications
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"citationFull_s":"Luís Almeida, Alexandre Poulain, Albin Pourtier, Chiara Villa. Mathematical modelling of the contribution of senescent fibroblasts to basement membrane digestion during carcinoma invasion. 2024. <a target=\"_blank\" href=\"https://hal.science/hal-04574340v2\">⟨hal-04574340v2⟩</a>",
"title_s":["Mathematical modelling of the contribution of senescent fibroblasts to basement membrane digestion during carcinoma invasion"],
"authFullName_s":["Luís Almeida","Alexandre Poulain","Albin Pourtier","Chiara Villa"],
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"citationFull_s":"Charles Elbar, Alexandre Poulain. Analysis and numerical simulation of a generalized compressible Cahn-Hilliard-Navier-Stokes model with friction effects. 2024. <a target=\"_blank\" href=\"https://hal.science/hal-04090768v2\">⟨hal-04090768v2⟩</a>",
"title_s":["Analysis and numerical simulation of a generalized compressible Cahn-Hilliard-Navier-Stokes model with friction effects"],
"authFullName_s":["Charles Elbar","Alexandre Poulain"],
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"citationRef_s":"<i>Interfaces and Free Boundaries : Mathematical Analysis, Computation and Applications</i>, 2024, <a target=\"_blank\" href=\"https://dx.doi.org/10.4171/ifb/505\">⟨10.4171/ifb/505⟩</a>",
"citationFull_s":"Giorgia Ciavolella, Noemi David, Alexandre Poulain. Effective interface conditions for a porous medium type problem. <i>Interfaces and Free Boundaries : Mathematical Analysis, Computation and Applications</i>, 2024, <a target=\"_blank\" href=\"https://dx.doi.org/10.4171/ifb/505\">⟨10.4171/ifb/505⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-03231456v3\">⟨hal-03231456v3⟩</a>",
"title_s":["Effective interface conditions for a porous medium type problem"],
"authFullName_s":["Giorgia Ciavolella","Noemi David","Alexandre Poulain"],
"halId_s":"hal-03231456",
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"citationRef_s":"<i>PLoS ONE</i>, 2023, 18 (3), pp.e0280501. <a target=\"_blank\" href=\"https://dx.doi.org/10.1371/journal.pone.0280501\">⟨10.1371/journal.pone.0280501⟩</a>",
"citationFull_s":"Alexandre Poulain, Jørgen Riseth, Vegard Vinje. Multi-compartmental model of glymphatic clearance of solutes in brain tissue. <i>PLoS ONE</i>, 2023, 18 (3), pp.e0280501. <a target=\"_blank\" href=\"https://dx.doi.org/10.1371/journal.pone.0280501\">⟨10.1371/journal.pone.0280501⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-03789563v2\">⟨hal-03789563v2⟩</a>",
"title_s":["Multi-compartmental model of glymphatic clearance of solutes in brain tissue"],
"authFullName_s":["Alexandre Poulain","Jørgen Riseth","Vegard Vinje"],
"halId_s":"hal-03789563",
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"producedDateY_i":2023
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"citationRef_s":"<i>ESAIM: Mathematical Modelling and Numerical Analysis</i>, 2022, 56 (5), pp.1741-1772. <a target=\"_blank\" href=\"https://dx.doi.org/10.1051/m2an/2022050\">⟨10.1051/m2an/2022050⟩</a>",
"citationFull_s":"Federica Bubba, Alexandre Poulain. A nonnegativity preserving scheme for the relaxed Cahn–Hilliard equation with single-well potential and degenerate mobility. <i>ESAIM: Mathematical Modelling and Numerical Analysis</i>, 2022, 56 (5), pp.1741-1772. <a target=\"_blank\" href=\"https://dx.doi.org/10.1051/m2an/2022050\">⟨10.1051/m2an/2022050⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-03731246v3\">⟨hal-03731246v3⟩</a>",
"title_s":["A nonnegativity preserving scheme for the relaxed Cahn–Hilliard equation with single-well potential and degenerate mobility"],
"authFullName_s":["Federica Bubba","Alexandre Poulain"],
"halId_s":"hal-03731246",
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"producedDateY_i":2022
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"citationRef_s":"<i>Communications in Mathematical Sciences</i>, 2022, 20 (7), pp.1901-1926. <a target=\"_blank\" href=\"https://dx.doi.org/10.4310/CMS.2022.v20.n7.a5\">⟨10.4310/CMS.2022.v20.n7.a5⟩</a>",
"citationFull_s":"Charles Elbar, Benoît Perthame, Alexandre Poulain. Degenerate Cahn-Hilliard and incompressible limit of a Keller-Segel model. <i>Communications in Mathematical Sciences</i>, 2022, 20 (7), pp.1901-1926. <a target=\"_blank\" href=\"https://dx.doi.org/10.4310/CMS.2022.v20.n7.a5\">⟨10.4310/CMS.2022.v20.n7.a5⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-03484277\">⟨hal-03484277⟩</a>",
"title_s":["Degenerate Cahn-Hilliard and incompressible limit of a Keller-Segel model"],
"authFullName_s":["Charles Elbar","Benoît Perthame","Alexandre Poulain"],
"halId_s":"hal-03484277",
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"citationRef_s":"<i>IMA Journal of Numerical Analysis</i>, 2021, <a target=\"_blank\" href=\"https://dx.doi.org/10.1093/imanum/drab082\">⟨10.1093/imanum/drab082⟩</a>",
"citationFull_s":"Alexandre Poulain, Katharina Schratz. Convergence, error analysis and longtime behavior of the Scalar Auxiliary Variable method for the nonlinear Schrödinger equation. <i>IMA Journal of Numerical Analysis</i>, 2021, <a target=\"_blank\" href=\"https://dx.doi.org/10.1093/imanum/drab082\">⟨10.1093/imanum/drab082⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-03088926v2\">⟨hal-03088926v2⟩</a>",
"title_s":["Convergence, error analysis and longtime behavior of the Scalar Auxiliary Variable method for the nonlinear Schrödinger equation"],
"authFullName_s":["Alexandre Poulain","Katharina Schratz"],
"halId_s":"hal-03088926",
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"producedDateY_i":2021
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"citationRef_s":"Numerical Analysis [math.NA]. Sorbonne Université, 2021. English. <a target=\"_blank\" href=\"https://www.theses.fr/2021SORUS200\">⟨NNT : 2021SORUS200⟩</a>",
"citationFull_s":"Alexandre Poulain. Models of living tissues, numerical simulations and immunotherapy of cancers. Numerical Analysis [math.NA]. Sorbonne Université, 2021. English. <a target=\"_blank\" href=\"https://www.theses.fr/2021SORUS200\">⟨NNT : 2021SORUS200⟩</a>. <a target=\"_blank\" href=\"https://theses.hal.science/tel-03457045\">⟨tel-03457045⟩</a>",
"title_s":["Models of living tissues, numerical simulations and immunotherapy of cancers","Modèles de tissus vivants, simulations numériques et immunothérapie des cancers"],
"authFullName_s":["Alexandre Poulain"],
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"producedDateY_i":2021
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"citationRef_s":"<i>Journal of Mathematical Biology</i>, 2021, 83 (3), pp.29. <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/s00285-021-01642-x\">⟨10.1007/s00285-021-01642-x⟩</a>",
"citationFull_s":"Luis Almeida, Gissell Estrada-Rodriguez, Lisa Oliver, Diane Peurichard, Alexandre Poulain, et al.. Treatment-induced shrinking of tumour aggregates: A nonlinear volume-filling chemotactic approach. <i>Journal of Mathematical Biology</i>, 2021, 83 (3), pp.29. <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/s00285-021-01642-x\">⟨10.1007/s00285-021-01642-x⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-02906240v3\">⟨hal-02906240v3⟩</a>",
"title_s":["Treatment-induced shrinking of tumour aggregates: A nonlinear volume-filling chemotactic approach"],
"authFullName_s":["Luis Almeida","Gissell Estrada-Rodriguez","Lisa Oliver","Diane Peurichard","Alexandre Poulain","François M. Vallette"],
"halId_s":"hal-02906240",
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"citationRef_s":"<i>European Journal of Applied Mathematics</i>, 2020, <a target=\"_blank\" href=\"https://dx.doi.org/10.1017/S0956792520000054\">⟨10.1017/S0956792520000054⟩</a>",
"citationFull_s":"Benoît Perthame, Alexandre Poulain. Relaxation of the Cahn-Hilliard equation with singular single-well potential and degenerate mobility. <i>European Journal of Applied Mathematics</i>, 2020, <a target=\"_blank\" href=\"https://dx.doi.org/10.1017/S0956792520000054\">⟨10.1017/S0956792520000054⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-02274417v4\">⟨hal-02274417v4⟩</a>",
"title_s":["Relaxation of the Cahn-Hilliard equation with singular single-well potential and degenerate mobility"],
"authFullName_s":["Benoît Perthame","Alexandre Poulain"],
"halId_s":"hal-02274417",
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"producedDateY_i":2020
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