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GLOBAL SMOOTH SOLUTIONS FOR TRIANGULAR REACTION-CROSS DIFFUSION SYSTEMS

 Jessica Guerand , Angeliki Menegaki , Ariane Trescases
2022
Pré-publication, Document de travail hal-03581020v1
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Hyperbolicity and non-conservativity of a hydrodynamic model of swarming rigid bodies

 P Degond , A Frouvelle , S Merino-Aceituno , A Trescases
Quarterly of Applied Mathematics, 2024, 82 (1), pp.35-64. ⟨10.1090/qam/1651⟩
Article dans une revue hal-03833710v1

Quaternions in Collective Dynamics

 Pierre Degond , Amic Frouvelle , Sara Merino-Aceituno , Ariane Trescases
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2018, 16 (1), pp.28-77
Article dans une revue hal-01962259v1
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Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing

 Laurent Desvillettes , Philippe Laurençot , Ariane Trescases , Michael Winkler
Nonlinear Analysis: Theory, Methods and Applications, 2023, 226, pp.113153. ⟨10.1016/j.na.2022.113153⟩
Article dans une revue hal-03580629v1
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On the entropic structure of reaction-cross diffusion systems

 L Desvillettes , Th Lepoutre , Ayman Moussa , A Trescases
Communications in Partial Differential Equations, 2015, ⟨10.1080/03605302.2014.998837⟩
Article dans une revue hal-01078175v1
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Delayed Blow-Up for Chemotaxis Models with Local Sensing

 Martin Burger , Philippe Laurençot , Ariane Trescases
Journal of the London Mathematical Society, 2021, 103, pp.1596--1617
Article dans une revue hal-02563967v2
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Multi-species viscous models for tissue growth: incompressible limit and qualitative behaviour

 Pierre Degond , Sophie Hecht , Michèle Romanos , Ariane Trescases
Journal of Mathematical Biology, 2022, 85 (2), pp.16. ⟨10.1007/s00285-022-01784-6⟩
Article dans une revue hal-03618303v2
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Alignment of self-propelled rigid bodies: from particle systems to macroscopic equations

 Pierre Degond , Amic Frouvelle , Sara Merino-Aceituno , Ariane Trescases
Springer Proceedings in Mathematics & Statistics, 2019, Stochastic Dynamics Out of Equilibrium, 282
Article dans une revue hal-01894363v1
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Cell-to-cell heterogeneity in Sox2 and Bra expression guides progenitor motility and destiny

 Michèle Romanos , Guillaume Allio , Myriam Roussigné , Léa Combres , Nathalie Escalas , et al.
eLife, 2021, 10, ⟨10.7554/eLife.66588⟩
Article dans une revue hal-03403758v1
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Cell motility in confinement: a computational model for the shape of the cell

 Florence Hubert , Meriem Jedouaa , Imene Khames , Julien Olivier , Olivier Theodoly , et al.
ESAIM: Proceedings and Surveys, 2016, 55, pp.148-166. ⟨10.1051/proc/201655166⟩
Article dans une revue hal-03352663v1
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BV-Regularity of the Boltzmann equation in non-convex domains

 Yan Guo , Chanwoo Kim , Daniela Tonon , Ariane Trescases
Archive for Rational Mechanics and Analysis, 2016, 220 (3), pp.1045-1093. ⟨10.1007/s00205-015-0948-9⟩
Article dans une revue hal-01250819v1
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Modélisation et Analyse Mathématique d'Equations aux Dérivées Partielles Issues de la Physique et de la Biologie

 Ariane Houllier - Trescases
Mathématiques générales [math.GM]. École normale supérieure de Cachan - ENS Cachan, 2015. Français. ⟨NNT : 2015DENS0037⟩
Thèse tel-01221531v1
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NO PATTERN FORMATION IN A QUASILINEAR CHEMOTAXIS MODEL WITH LOCAL SENSING

 Philippe Laurençot , Ariane Trescases
2024
Pré-publication, Document de travail hal-04549444v1
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Differential proliferation regulates multi-tissue morphogenesis during embryonic axial extension: Integrating viscous modeling and experimental approaches.

 Michèle Romanos , Tasha Salisbury , Samuel Stephan , Rusty Lansford , Pierre Degond , et al.
2024
Pré-publication, Document de travail hal-04483549v1

On triangular reaction cross-diffusion systems with possible self-diffusion

 Ariane Trescases
Bulletin des Sciences Mathématiques, 2016, ⟨10.1016/j.bulsci.2016.03.008⟩
Article dans une revue hal-01959414v1
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New results for triangular reaction cross diffusion system

 Laurent Desvillettes , Ariane Trescases
2014
Pré-publication, Document de travail hal-01058014v1

Regularity of the Boltzmann equation in convex domains

 Yan Guo , Chanwoo Kim , Daniela Tonon , Ariane Trescases
Inventiones Mathematicae, 2017, 207 (1), pp.115-290. ⟨10.1007/s00222-016-0670-8⟩
Article dans une revue hal-01425843v1
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