Zobrazeno 1 - 10
of 296
pro vyhledávání: '"Carrillo, JA"'
Publikováno v:
Mathematical Models and Methods in Applied Sciences
Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, In press
Mathematical Models and Methods in Applied Sciences, In press, 32 (4), pp.831-850. ⟨10.1142/S021820252250018X⟩
Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, In press
Mathematical Models and Methods in Applied Sciences, In press, 32 (4), pp.831-850. ⟨10.1142/S021820252250018X⟩
We show that partial mass concentration can happen for stationary solutions of aggregation–diffusion equations with homogeneous attractive kernels in the fast diffusion range. More precisely, we prove that the free energy admits a radial global min
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3004f28242dd4fdc14a3b895244d5b6b
https://doi.org/10.1142/s021820252250018x
https://doi.org/10.1142/s021820252250018x
Although tissues are usually studied in isolation, this situation rarely occurs in biology, as cells, tissues, and organs, coexist and interact across scales to determine both shape and function. Here, we take a quantitative approach combining data f
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::96dcae25c91c2f664cf0819c4f221462
We propose a gradient flow perspective to the spatially homogeneous Landau equation for soft potentials. We construct a tailored metric on the space of probability measures based on the entropy dissipation of the Landau equation. Under this metric, t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d1aed2dd83cd8ab5d1054e58e440c5a3
https://ora.ox.ac.uk/objects/uuid:257e83f7-f84a-40d2-9479-2e16458bbd32
https://ora.ox.ac.uk/objects/uuid:257e83f7-f84a-40d2-9479-2e16458bbd32
We provide a quantitative asymptotic analysis for the nonlinear Vlasov–Poisson–Fokker–Planck system with a large linear friction force and high force-fields. The limiting system is a diffusive model with nonlocal velocity fields often referred
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::db4376e4b5871f649ab6dacb2598e439
https://doi.org/10.3934/krm.2021052
https://doi.org/10.3934/krm.2021052
We propose finite-volume schemes for the Cahn-Hilliard equation that unconditionally and discretely satisfy the boundedness of the phase field and the free-energy dissipation. Our numerical framework is applicable to a variety of free-energy potentia
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cc506e881777d37c8184042891e46c97
https://hal.science/hal-03541875
https://hal.science/hal-03541875
We propose finite-volume schemes for general continuity equations which preserve positivity and global bounds that arise from saturation effects in the mobility function. In the particular case of gradient flows, the schemes dissipate the free energy
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::393e262f39750908ef77c8aace3f0b83
https://hal.science/hal-03541876
https://hal.science/hal-03541876
Autor:
Carrillo, JA, Wang, J
We derive uniform in time 𝐿∞-bound for solutions to an aggregation-diffusion model with attractive-repulsive potentials or fully attractive potentials. We analyze two cases: either the repulsive nonlocal term dominates over the attractive part,
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https://explore.openaire.eu/search/publication?articleId=od______1064::c067952fcf84ed7c23fd95b88d91288b
https://ora.ox.ac.uk/objects/uuid:06698800-fc09-4ae7-8d2b-87dd453b5944
https://ora.ox.ac.uk/objects/uuid:06698800-fc09-4ae7-8d2b-87dd453b5944
The displacement λ-convexity of a non-standard entropy with respect to a non-local transportation metric in finite state spaces is shown using a gradient flow approach. The constant λ is computed explicitly in terms of a priori estimates of the sol
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______1064::d6718f50e3ed9b19eb399b8834398dc0
https://doi.org/10.1017/s0956792517000389
https://doi.org/10.1017/s0956792517000389
We consider equations of the form $ u_t = \nabla \cdot ( \gamma(u) \nabla \mathrm{N}(u))$, where $\mathrm{N}$ is the Newtonian potential (inverse of the Laplacian) posed in the whole space $\mathbb R^d$, and $\gamma(u)$ is the mobility. For linear mo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6555c6c1c6841c8c0a4bbbdeab70ae13
http://arxiv.org/abs/1912.00912
http://arxiv.org/abs/1912.00912
We study the McKean-Vlasov equation ∂t̺ = β−1∆̺ + κ ∇·(̺∇(W ⋆ ̺)) , with periodic boundary conditions on the torus. We first study the global asymptotic stability of the homogeneous steady state. We then focus our attention on the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______1032::98ded098cf20db635db34ce555d5b82b
http://hdl.handle.net/10044/1/72137
http://hdl.handle.net/10044/1/72137