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Uniform ball property and existence of optimal shapes for a wide class of geometric functionals

Jeremy Dalphin
2016
Pré-publication, Document de travail hal-01136792v2
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On the minimization of total mean curvature

Jeremy Dalphin , Antoine Henrot , Simon Masnou , Takeo Takahashi
Journal of Geometric Analysis, 2016, 26 (4), pp.2729-2750. ⟨10.1007/s12220-015-9646-y⟩
Article dans une revue hal-01015600v1
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Existence of optimal shapes under a uniform ball condition for geometric functionals involving boundary value problems

Jérémy Dalphin
ESAIM: Control, Optimisation and Calculus of Variations, 2020, 26, pp.108. ⟨10.1051/cocv/2020026⟩
Article dans une revue hal-03053274v1
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Study of geometric functionals depending on curvature by shape optimization methods. Applications to the functionals of Willmore and Canham-Helfrich.

Jérémy Dalphin
Mathematics [math]. Université de Lorraine, 2014. English. ⟨NNT : 2014LORR0167⟩
Thèse tel-01751056v2
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Semaine d'Etude Mathématiques et Entreprises 5 : Reconstruction de couches géologiques à partir de données discrètes

Aurore Back , Mohamed El Bouajaji , Pierre-William Martelli , Brahim Yahiaoui , Jérémy Dalphin , et al.
2013
Pré-publication, Document de travail hal-01021660v1
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Shape derivatives of the probability to find a fixed number of electrons chemically characterized by a wave function

Jérémy Dalphin
2017
Pré-publication, Document de travail hal-01456345v1
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Shape optimization of a moving bottom underwater generating solitary waves ruled by a forced KdV equation

Jérémy Dalphin , Ricardo Barros
2017
Pré-publication, Document de travail hal-01456371v1
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Uniform ball condition and existence of optimal shapes for geometric functionals involving boundary-value problems

Jeremy Dalphin
2017
Pré-publication, Document de travail hal-01456344v2
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Shape and topology optimization for maximum probability domains in quantum chemistry

Benoît Braida , Jérémy Dalphin , Charles Dapogny , Pascal Frey , Yannick Privat
Numerische Mathematik, 2022, 151, pp.1017--1064. ⟨10.1007/s00211-022-01305-z⟩
Article dans une revue hal-02977023v2