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Degenerate Cahn-Hilliard and incompressible limit of a Keller-Segel model

Charles Elbar , Benoît Perthame , Alexandre Poulain
Communications in Mathematical Sciences, 2022, 20 (7), pp.1901-1926. ⟨10.4310/CMS.2022.v20.n7.a5⟩
Journal articles hal-03484277v1
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Relaxation of the Cahn-Hilliard equation with singular single-well potential and degenerate mobility

Benoît Perthame , Alexandre Poulain
European Journal of Applied Mathematics, 2020, ⟨10.1017/S0956792520000054⟩
Journal articles hal-02274417v4
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Multi-compartmental model of glymphatic clearance of solutes in brain tissue

Alexandre Poulain , Jørgen Riseth , Vegard Vinje
PLoS ONE, 2023, 18 (3), pp.e0280501. ⟨10.1371/journal.pone.0280501⟩
Journal articles hal-03789563v2
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A nonnegativity preserving scheme for the relaxed Cahn–Hilliard equation with single-well potential and degenerate mobility

Federica Bubba , Alexandre Poulain
ESAIM: Mathematical Modelling and Numerical Analysis, 2022, 56 (5), pp.1741-1772. ⟨10.1051/m2an/2022050⟩
Journal articles hal-03731246v3
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Treatment-induced shrinking of tumour aggregates: A nonlinear volume-filling chemotactic approach

Luis Almeida , Gissell Estrada-Rodriguez , Lisa Oliver , Diane Peurichard , Alexandre Poulain , et al.
Journal of Mathematical Biology, 2021, 83 (3), pp.29. ⟨10.1007/s00285-021-01642-x⟩
Journal articles hal-02906240v3
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Models of living tissues, numerical simulations and immunotherapy of cancers

Alexandre Poulain
Numerical Analysis [math.NA]. Sorbonne Université, 2021. English. ⟨NNT : 2021SORUS200⟩
Theses tel-03457045v1
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Effective interface conditions for a porous medium type problem

Giorgia Ciavolella , Noemi David , Alexandre Poulain
Preprints, Working Papers, ... hal-03231456v3
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Convergence, error analysis and longtime behavior of the Scalar Auxiliary Variable method for the nonlinear Schrödinger equation

Alexandre Poulain , Katharina Schratz
IMA Journal of Numerical Analysis, 2021, ⟨10.1093/imanum/drab082⟩
Journal articles hal-03088926v2
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Analysis and numerical simulation of a generalized compressible Cahn-Hilliard-Navier-Stokes model with friction effects

Charles Elbar , Alexandre Poulain
Preprints, Working Papers, ... hal-04090768v1