Zobrazeno 1 - 10
of 56
pro vyhledávání: '"Ghattassi, Mohamed"'
We investigate the existence and stability of small perturbations of constant states of the generalized Hughes model for pedestrian flow in an infinitely large corridor. We show that constant flows are stable under a condition on the density. Our fin
Externí odkaz:
http://arxiv.org/abs/2310.06449
Autor:
Ghattassi, Mohamed, Masmoudi, Nader
In this paper, we present a new generalized Hughes model designed to intelligently depict pedestrian congestion dynamics, allowing pedestrian groups to either navigate through or circumvent high-density regions. First, we describe the microscopic set
Externí odkaz:
http://arxiv.org/abs/2310.04702
This paper is devoted to the diffusive limit of the nonlinear radiative heat transfer system with curved boundary domain (\textit{two dimensional disk}). The solution constructed in \cite{ghattassi2022convergence} by the leading order interior soluti
Externí odkaz:
http://arxiv.org/abs/2305.17661
In this paper, we study the diffusive limit of the steady state radiative heat transfer system for non-homogeneous Dirichlet boundary conditions in a bounded domain with flat boundaries. A composite approximate solution is constructed using asymptoti
Externí odkaz:
http://arxiv.org/abs/2210.16681
This paper focuses on the nonlinear Milne problem of the radiative heat transfer system on the half-space. The nonlinear model is described by a second order ODE for temperature coupled to transport equation for radiative intensity. The nonlinearity
Externí odkaz:
http://arxiv.org/abs/2207.10769
We study the diffusive limit approximation for a nonlinear radiative heat transfer system that arises in the modeling of glass cooling, greenhouse effects and in astrophysics. The model is considered with the reflective radiative boundary conditions
Externí odkaz:
http://arxiv.org/abs/2007.13209
Publikováno v:
In Journal de mathématiques pures et appliquées July 2023 175:181-215
This paper considers the performance output tracking for a boundary controlled Direct Contact Membrane Distillation (DCMD) system. First, the mathematical properties of a recently developed mathematical model of the DCMD system are discussed. This mo
Externí odkaz:
http://arxiv.org/abs/1902.00964
Publikováno v:
Computers & Mathematics with Applications Volume 75, Issue 11, 1 June 2018, Pages 3918-3928
This paper deals with existence and uniqueness results for a transient nonlinear radiative-conductive system in three-dimensional case. This system describes the heat transfer for a grey, semi-transparent and non-scattering medium with general bounda
Externí odkaz:
http://arxiv.org/abs/1902.00725