Model Reduction of a Two-Dimensional Kinetic Swarming Model by Operator Projections

DOI10.4208/eajam.170617.141117azbMath1467.82073arXiv1701.02888OpenAlexW2574448986MaRDI QIDQ4985197

Yangyu Kuang, Junming Duan, Hua-Zhong Tang

Publication date: 22 April 2021

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.02888

zbMATH Keywords

model reductionkinetic equationhyperbolicityprojection operatormoment method

Mathematics Subject Classification ID

Kinetic theory of gases in time-dependent statistical mechanics (82C40) Animal behavior (92D50) Integro-partial differential equations (35R09) Boltzmann equations (35Q20) PDEs in connection with statistical mechanics (35Q82) Spectral, collocation and related (meshless) methods applied to problems in statistical mechanics (82M22) Finite difference methods applied to problems in statistical mechanics (82M20)

Related Items (2)

Aggregation and disaggregation of active particles on the unit sphere with time-dependent frequencies ⋮ Globally hyperbolic moment model of arbitrary order for the three-dimensional special relativistic Boltzmann equation with the Anderson-Witting collision

Cites Work

• The Boltzmann equation and its applications
• Globally hyperbolic regularization of Grad's moment system in one dimensional space
• On hyperbolicity of 13-moment system
• A Framework on Moment Model Reduction for Kinetic Equation
• Numerical Regularized Moment Method of Arbitrary Order for Boltzmann-BGK Equation
• A WELL-POSEDNESS THEORY IN MEASURES FOR SOME KINETIC MODELS OF COLLECTIVE MOTION
• Design and Control of Swarm Dynamics
• Numerical Regularized Moment Method For High Mach Number Flow
• Globally Hyperbolic Regularization of Grad's Moment System

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