Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Antoine Mellet"'
Publikováno v:
SIAM Journal on Mathematical Analysis
SIAM Journal on Mathematical Analysis, 2020, 52 (4), pp.3843-3880. ⟨10.1137/19M1267969⟩
SIAM Journal on Mathematical Analysis, 2020, 52 (4), pp.3843-3880. ⟨10.1137/19M1267969⟩
International audience; We introduce and study a diffuse interface model describing cell motility. We provide a detailed rigorous analysis of the model in dimension 1 and formally derive the sharp interface limit in any dimension. The model integrate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ac833e92a1ccb66d56220197266b3832
https://doi.org/10.1137/19m1267969
https://doi.org/10.1137/19m1267969
Autor:
Yijing Wu, Antoine Mellet
In this paper, we investigate the minimization of a functional in which the usual perimeter is competing with a nonlocal singular term comparable (but not necessarily equal to) a fractional perimeter. The motivation for this problem is a cell motilit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6412e398ad1453f9f3afa64bec1573be
http://arxiv.org/abs/2009.03794
http://arxiv.org/abs/2009.03794
We study the incompressible limit of the porous medium equation with a right hand side representing either a source or a sink term, and an injection boundary condition. This model can be seen as a simplified description of non-monotone motions in tum
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4ef5ee0a55788764c53213d9e850079b
Publikováno v:
Discrete & Continuous Dynamical Systems. 42:2381
In this paper, we prove the existence of traveling wave solutions for an incompressible Darcy's free boundary problem recently introduced in [6] to describe cell motility. This free boundary problem involves a nonlinear destabilizing term in the boun
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f528c6a0a0eeb55ebaa9718e2f469235
https://doi.org/10.3934/dcds.2021194
https://doi.org/10.3934/dcds.2021194
Publikováno v:
Journal of Functional Analysis. 273:3061-3093
We consider weak solutions to a problem modeling tumor growth. Under certain conditions on the initial data, solutions can be obtained by passing to the stiff (incompressible) limit in a porous medium type problem with a Lotka–Volterra source term
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b7d44d5d9083314349dcf935b53ea339
https://doi.org/10.1016/j.jfa.2017.08.009
https://doi.org/10.1016/j.jfa.2017.08.009
Autor:
Antoine Mellet, Pedro Aceves-Sanchez
Publikováno v:
Mathematical Models and Methods in Applied Sciences. 27:845-878
This paper is devoted to the approximation of the linear Boltzmann equation by fractional diffusion equations. Most existing results address this question when there is no external acceleration field. The goal of this paper is to investigate the case
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aa5587af2eb2da794fcaf7be6383eb60
https://doi.org/10.1142/s021820251750018x
https://doi.org/10.1142/s021820251750018x
We investigate the properties of convex functions in R 2 that satisfy a local inequality which generalizes the notion of sub-solution of Monge-Ampere equation for a Monge-Kantorovich problem with quadratic cost between non-absolutely continuous measu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e0343ec0a6c433443813a940191a113b
http://arxiv.org/abs/1911.00574
http://arxiv.org/abs/1911.00574
Autor:
Antoine Mellet, Matias G. Delgadino
This paper is devoted to the asymptotic analysis of a thin film equation which describes the evolution of a thin liquid droplet on a solid support driven by capillary forces. We propose an analytic framework to rigorously investigate the connection b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::20ed6f7a55d74599a9e49d17ab190418
http://arxiv.org/abs/1901.09611
http://arxiv.org/abs/1901.09611
Publikováno v:
Journal of Computational and Applied Mathematics. 377:112909
We carry out the homogenization of time-harmonic Maxwell’s equations in a periodic, layered structure made of two-dimensional (2D) metallic sheets immersed in a heterogeneous and in principle anisotropic dielectric medium. In this setting, the tang
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::de86472a8cdb9e86dde832ee62920e3a
https://doi.org/10.1016/j.cam.2020.112909
https://doi.org/10.1016/j.cam.2020.112909
We investigate the fractional diffusion approximation of a kinetic equation in the upper-half plane with diffusive reflection conditions at the boundary. In an appropriate singular limit corresponding to small Knudsen number and long time asymptotic,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::91b9fc041106f4f2af73eb7ed92d3143
http://arxiv.org/abs/1805.04903
http://arxiv.org/abs/1805.04903