Nonlocal systems of balance laws in several space dimensions with applications to laser technology
From MaRDI portal
Publication:496766
DOI10.1016/j.jde.2015.08.005zbMath1327.35245arXiv1504.00163OpenAlexW2963186912MaRDI QIDQ496766
Francesca Marcellini, Rinaldo M. Colombo
Publication date: 22 September 2015
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1504.00163
Related Items (12)
Biological and industrial models motivating nonlocal conservation laws: a review of analytic and numerical results ⋮ Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws ⋮ Global entropy weak solutions for general non-local traffic flow models with anisotropic kernel ⋮ Asymptotic behaviour of nonlocal \(p\)-Laplacian reaction-diffusion problems ⋮ On the singular limit problem for a discontinuous nonlocal conservation law ⋮ Discontinuous nonlocal conservation laws and related discontinuous ODEs -- existence, uniqueness, stability and regularity ⋮ Finite element error analysis of a time-fractional nonlocal diffusion equation with the Dirichlet energy ⋮ High-Order Numerical Schemes for One-Dimensional Nonlocal Conservation Laws ⋮ An age and space structured SIR model describing the covid-19 pandemic ⋮ Nonlocal multi-scale traffic flow models: analysis beyond vector spaces ⋮ On the stability of a model for the cutting of metal plates by means of laser beams ⋮ Crowd Dynamics Through Conservation Laws
Cites Work
- On the Hughes' model for pedestrian flow: the one-dimensional case
- Time-evolving measures and macroscopic modeling of pedestrian flow
- Stability and total variation estimates on general scalar balance laws
- A free boundary problem related to laser beam fusion cutting: ODE approximation
- A hyperbolic model for the laser cutting process
- Nonlocal crowd dynamics models for several populations
- On gas dynamic effects in the modelling of laser cutting processes
- Well-posedness of a conservation law with non-local flux arising in traffic flow modeling
- Mathematical modelling and stability analysis for laser cutting
- A CLASS OF NONLOCAL MODELS FOR PEDESTRIAN TRAFFIC
- On nonlocal conservation laws modelling sedimentation
- Models for Solidification and Splashing in Laser Percussion Drilling
- Global Existence of Large BV Solutions in a Model of Granular Flow
- Nonlocal Systems of Conservation Laws in Several Space Dimensions
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Nonlocal systems of balance laws in several space dimensions with applications to laser technology