Results 21 to 30 of about 348 (59)
Opinion modeling on social media and marketing aspects [PDF]
, 2018 We introduce and discuss kinetic models of opinion formation on social networks in which the distribution function depends on both the opinion and the connectivity of the agents.
Toscani, G., Tosin, A., Zanella, M.
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Mean Field Asymptotic Behavior of Quantum Particles with Initial Correlations
, 2014 In the paper we consider the problem of the rigorous description of the kinetic evolution in the presence of initial correlations of quantum large particle systems.
Gerasimenko, V. I.
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Results in PhysicsThe space–time fractional Landau-Ginzburg-Higgs equation and coupled Boussinesq-Burger equation describe the behavior of nonlinear waves in the tropical and mid-latitude troposphere, exhibiting weak scattering, extended connections, arising from the ...
Anamika Podder +4 more
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Network-based kinetic models: Emergence of a statistical description of the graph topology
European Journal of Applied MathematicsIn this paper, we propose a novel approach that employs kinetic equations to describe the collective dynamics emerging from graph-mediated pairwise interactions in multi-agent systems.
Marco Nurisso +2 more
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Cauchy problem for the Boltzmann-BGK model near a global Maxwellian
, 2010 In this paper, we are interested in the Cauchy problem for the Boltzmann-BGK model for a general class of collision frequencies. We prove that the Boltzmann-BGK model linearized around a global Maxwellian admits a unique global smooth solution if the ...
Cercignani C. +4 more
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Pointwise Behavior of the Linearized Boltzmann Equation on Torus [PDF]
, 2013 We study the pointwise behavior of the linearized Boltzmann equation on torus for non-smooth initial perturbation. The result reveals both the fluid and kinetic aspects of this model.
Wu, Kung-Chien
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The KdV hierarchy: universality and a Painleve transcendent
, 2011 We study the Cauchy problem for the Korteweg-de Vries (KdV) hierarchy in the small dispersion limit where $\e\to 0$. For negative analytic initial data with a single negative hump, we prove that for small times, the solution is approximated by the ...
Claeys, T., Grava, T.
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Boltzmann-type models with uncertain binary interactions
, 2017 In this paper we study binary interaction schemes with uncertain parameters for a general class of Boltzmann-type equations with applications in classical gas and aggregation dynamics.
Tosin, Andrea, Zanella, Mattia
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Instability in a Vlasov-Fokker-Planck binary mixture
, 2018 This paper is concerned with a kinetic model of a Vlasov-Fokker-Planck system used to describe the evolution of two species of particles interacting through a potential and a thermal reservoir at given temperature.
Zhang, Zhu
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Energy-transport systems for optical lattices: derivation, analysis, simulation
, 2017 Energy-transport equations for the transport of fermions in optical lattices are formally derived from a Boltzmann transport equation with a periodic lattice potential in the diffusive limit.
Braukhoff, Marcel, Jüngel, Ansgar
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