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Mean-field and Monte Carlo analysis of multi-species agent dynamics
Frontiers in PhysicsWe propose a mean-field (MF) approximation as a recurrence relation governing the dynamics of m species of particles on a square lattice. We simultaneously perform Monte Carlo (MC) simulations under identical initial conditions to emulate the intricate ...
Eduardo Velasco Stock +2 more
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Radial intensity gradients of galactic cosmic rays in the heliosphere at solar maximum: 1D no-shock simulation [PDF]
Geofísica Internacional, 2009 We study the spatial distribution of galactic cosmic rays in the heliosphere at solar maximum of cycles 21, 22 and 23, using a one-dimensional no-shock model of the cosmic ray transport equation.
R. A. Caballero-Lopez +1 more
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Boundary control for transport equations
Mathematical Control and Related Fields, 2023 This paper considers two types of boundary control problems for linear transport equations. The first one shows that transport solutions on a subdomain of a domain X can be controlled exactly from incoming boundary conditions for X under appropriate convexity assumptions.
Bal, Guillaume, Jollivet, Alexandre
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Transport equation driven by a stochastic measure
Modern Stochastics: Theory and Applications, 2023 The stochastic transport equation is considered where the randomness is given by a symmetric integral with respect to a stochastic measure. For a stochastic measure, only σ-additivity in probability and continuity of paths is assumed.
Vadym Radchenko
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Blow-up criterion for the 2D Euler-Boussinesq system in terms of temperature
Electronic Journal of Differential Equations, 2016 In this article, we study the blow-up slutions for the 2D Euler-Boussinesq equation. In particular, it is shown that if $$ \int_0^{T^*} \sup_{r\geq 2}\frac{\|\Lambda^{1-\alpha} \theta(t)\|_{L^{r}}} {\sqrt{r\log r ...
Chenyin Qin
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Nuclear Engineering and Technology, 2020 A diffusion synthetic acceleration (DSA) technique for the SN transport equation discretized with the linear discontinuous expansion method with subcell balance (LDEM-SCB) on unstructured tetrahedral meshes is presented.
Habib Muhammad, Ser Gi Hong
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Adsorption Kinetics Model of Hydrogen on Graphite
EntropyA new kinetic equation for the adsorption and desorption of H2 on graphite is derived based on the adsorption and desorption equilibrium rates obtained from the molecular dynamics.
Jean-Marc Simon +1 more
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The eigenvalues of one-speed neutrons in a slab with forward and backward scattering
Tehnički Glasnik, 2019 The eigenvalue spectrum is studied for one-speed neutrons in a slab with forward and backward scattering. First, the transport equation describing the interaction of neutrons in a system with general geometry is given.
Ökkeş Ege, Hakan Öztürk
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Scaling the Dynamic Buckling Behavior of a Box Girder Based on the Finite Similitude Approach
Journal of Marine Science and EngineeringIn the design of small-scale test models for hull structures, the directional dimensional analysis method is commonly employed. However, conventional dimensional analysis based on elasticity theory may be insufficient to capture the nonlinear behaviors ...
Chongxi Xu +5 more
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Numerical Approximation for Fractional Neutron Transport Equation
Journal of Mathematics, 2021 Fractional neutron transport equation reflects the anomalous transport processes in nuclear reactor. In this paper, we will construct the fully discrete methods for this type of fractional equation with Riesz derivative, where the generalized WENO5 ...
Zhengang Zhao, Yunying Zheng
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