Zobrazeno 1 - 10
of 1 328
pro vyhledávání: '"CARRILLO, JOSE A."'
The Stein Variational Gradient Descent method is a variational inference method in statistics that has recently received a lot of attention. The method provides a deterministic approximation of the target distribution, by introducing a nonlocal inter
Externí odkaz:
http://arxiv.org/abs/2412.10295
We consider a partial differential equation model for the growth of heterogeneous cell populations subdivided into multiple distinct discrete phenotypes. In this model, cells preferentially move towards regions where they feel less compressed, and th
Externí odkaz:
http://arxiv.org/abs/2412.08535
We focus on a family of nonlinear continuity equations for the evolution of a non-negative density $\rho$ with a continuous and compactly supported nonlinear mobility $\mathrm{m}(\rho)$ not necessarily concave. The velocity field is the negative grad
Externí odkaz:
http://arxiv.org/abs/2410.10040
This paper is concerned with the boundary-layer solutions of the singular Keller-Segel model proposed by Keller-Segel (1971) in a multi-dimensional domain, where the zero-flux boundary condition is imposed to the cell while inhomogeneous Dirichlet bo
Externí odkaz:
http://arxiv.org/abs/2410.09572
We investigate a free energy functional that arises in aggregation-diffusion phenomena modelled by nonlocal interactions and local repulsion on the hyperbolic space $\bbh^\dm$. The free energy consists of two competing terms: an entropy, correspondin
Externí odkaz:
http://arxiv.org/abs/2409.06022
We derive the spatially homogeneous Landau equation for Maxwellian molecules from a natural stochastic interacting particle system. More precisely, we control the relative entropy between the joint law of the particle system and the tensorized law of
Externí odkaz:
http://arxiv.org/abs/2408.15035
Autor:
Carrillo, José Antonio, Lin, Ke
The qualitative study of solutions to the coupled parabolic-elliptic chemotaxis system with nonlinear diffusion for two species will be considered in the whole Euclidean space $\mathbb{R}^d$ ($d\geq 3$). It was proven in \cite{CK2021-ANA} that there
Externí odkaz:
http://arxiv.org/abs/2408.13992
We construct deterministic particle solutions for linear and fast diffusion equations using a nonlocal approximation. We exploit the $2$-Wasserstein gradient flow structure of the equations in order to obtain the nonlocal approximating PDEs by regula
Externí odkaz:
http://arxiv.org/abs/2408.02345
The dynamics of probability density functions has been extensively studied in science and engineering to understand physical phenomena and facilitate algorithmic design. Of particular interest are dynamics that can be formulated as gradient flows of
Externí odkaz:
http://arxiv.org/abs/2407.15693
We consider aggregation-diffusion equations with merely bounded nonlocal interaction potential $K$. We are interested in establishing their well-posedness theory when the nonlocal interaction potential $K$ is neither differentiable nor positive (semi
Externí odkaz:
http://arxiv.org/abs/2406.09227