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hal-01984371v1  Journal articles
Di Fang, Shi Jin, Peter Markowich, Benoît Perthame. Implicit and Semi-implicit Numerical Schemes for the Gradient Flow of the Formation of Biological Transport Networks
SMAI Journal of Computational Mathematics, Société de Mathématiques Appliquées et Industrielles (SMAI), 2019, 5, pp.229-249. ⟨10.5802/smai-jcm.59⟩
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hal-02496397v2  Preprints, Working Papers, ...
Camille Laurent, Matthieu Léautaud. On uniform observability of gradient flows in the vanishing viscosity limit
2021
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hal-01061991v1  Journal articles
José Antonio Carrillo, François James, Frédéric Lagoutière, Nicolas Vauchelet. The Filippov characteristic flow for the aggregation equation with mildly singular potentials
Journal of Differential Equations, Elsevier, 2016, 260 (1), pp.304-338. ⟨10.1016/j.jde.2015.08.048⟩
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hal-01745769v2  Journal articles
Luís Almeida, Federica Bubba, Benoît Perthame, Camille Pouchol. Energy and implicit discretization of the Fokker-Planck and Keller-Segel type equations
Networks and Heterogeneous Media, AIMS-American Institute of Mathematical Sciences, 2019, 14 (1), ⟨10.3934/nhm.2019002⟩
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hal-00823714v1  Journal articles
Jean-François Babadjian, Vincent Millot. Unilateral gradient flow of the Ambrosio-Tortorelli functional by minimizing movements
Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, Elsevier, 2014, 31 (4), pp.779-822
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hal-00803709v3  Journal articles
François James, Nicolas Vauchelet. Equivalence between duality and gradient flow solutions for one-dimensional aggregation equations
Discrete and Continuous Dynamical Systems - Series A, American Institute of Mathematical Sciences, 2016, 36 (3), pp.1355-1382. ⟨10.3934/dcds.2016.36.1355⟩
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hal-01714707v1  Journal articles
Michael Goldman, Lucia de Luca, Marta Strani. A gradient flow approach to relaxation rates for the multi-dimensional Cahn-Hilliard equation
Mathematische Annalen, Springer Verlag, 2019, 3-4
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hal-02906142v1  Preprints, Working Papers, ...
Alexandre Poulain. Scalar auxiliary variable finite element scheme for the parabolic-parabolic Keller-Segel model
2020