Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Antoine Diez"'
Publikováno v:
SIAM Journal on Applied Dynamical Systems
SIAM Journal on Applied Dynamical Systems, 2022, 21 (2), pp.1455-1494. ⟨10.1137/21M1393935⟩
SIAM Journal on Applied Dynamical Systems, Society for Industrial and Applied Mathematics, 2022, 21, pp.1455-1494
SIAM Journal on Applied Dynamical Systems, 2022, 21 (2), pp.1455-1494. ⟨10.1137/21M1393935⟩
SIAM Journal on Applied Dynamical Systems, Society for Industrial and Applied Mathematics, 2022, 21, pp.1455-1494
International audience; In this paper, we demonstrate the existence of topological states in a new collective dynamics model. This individual-based model (IBM) describes self-propelled rigid bodies moving with constant speed and adjusting their rigid
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2625f427adf678ad6403481d2e2388de
https://doi.org/10.1137/21m1393935
https://doi.org/10.1137/21m1393935
Conditions for self-organisation via Turing's mechanism in biological systems represented by reaction-diffusion or reaction-cross-diffusion models have been extensively studied. Nonetheless, the impact of tissue stratification in such systems is unde
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::212db98156d6af024a2661e65ae6fb7a
https://doi.org/10.1101/2023.05.30.542795
https://doi.org/10.1101/2023.05.30.542795
Autor:
Louis-Pierre Chaintron, Antoine Diez
The notion of propagation of chaos for large systems of interacting particles originates in statistical physics and has recently become a central notion in many areas of applied mathematics. The present review describes old and new methods as well as
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::974e8a7589fcb6434d78cb208b6557f7
In this paper we provide a local Cauchy theory both on the torus and in the whole space for general Vicsek dynamics at the kinetic level. We consider rather general interaction kernels, nonlinear viscosity, and nonlinear friction. Particularly, we in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a5cff53e5239daeb38a31585f2a1b8b0
http://hdl.handle.net/10044/1/97223
http://hdl.handle.net/10044/1/97223
Autor:
Antoine Diez
Over the past decades, the study of systems of particles has become an important part of many research areas, from theoretical physics to applied biology and computational mathematics. One of the main motivations in mathematical biology is the modell
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::82ddbf377e55246fb7d1ed46328a529f
http://hdl.handle.net/10044/1/92028
http://hdl.handle.net/10044/1/92028
Publikováno v:
Journal of Nonlinear Science
Journal of Nonlinear Science, Springer Verlag, 2020, 30, pp.2671-2736. ⟨10.1007/s00332-020-09632-x⟩
Journal of Nonlinear Science, Springer Verlag, 2020, 30, pp.2671-2736. ⟨10.1007/s00332-020-09632-x⟩
In this article we investigate the phase transition phenomena that occur in a model of self-organisation through body-attitude coordination. Here, the body attitude of an agent is modelled by a rotation matrix in $${\mathbb {R}}^3$$ R 3 as in Degond
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d90d2b8ac15b01728f20bdc6b0d203e2
https://hal.archives-ouvertes.fr/hal-02126060/document
https://hal.archives-ouvertes.fr/hal-02126060/document
Autor:
Antoine Diez
Publikováno v:
Electron. J. Probab.
In this article we study a system of $N$ particles, each of them being defined by the couple of a position (in $\mathbb{R}^d$) and a so-called orientation which is an element of a compact Riemannian manifold. This orientation can be seen as a general
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e51f762f14e6da823c327af1b5ab0252
https://doi.org/10.1214/20-ejp496
https://doi.org/10.1214/20-ejp496
Funding Information: ∗This research was conducted while A.D. was supported by an EPSRC-Roth scholarship co-funded by the Engineering and Physical Sciences Research Council and the Department of Mathematics at Imperial College London. Publisher Copy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::22b841d74debacc18f5796d35dc728a3
http://arxiv.org/abs/1909.08988
http://arxiv.org/abs/1909.08988