Results 21 to 30 of about 372 (75)
Hybrid stochastic kinetic description of two-dimensional traffic dynamics [PDF]
In this work we present a two-dimensional kinetic traffic model which takes into account speed changes both when vehicles interact along the road lanes and when they change lane.
Herty, Michael +3 more
core +1 more source
Dispersionless Hierarchies, Hamilton-Jacobi Theory and Twistor Correspondences
The dispersionless KP and Toda hierarchies possess an underlying twistorial structure. A twistorial approach is partly implemented by the method of Riemann-Hilbert problem. This is however still short of clarifying geometric ingredients of twistor theory,
Boyer +30 more
core +2 more sources
Opinion modeling on social media and marketing aspects [PDF]
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.
core +1 more source
Recovery of the absorption coefficient in radiative transport from a single measurement
In this paper, we investigate the recovery of the absorption coefficient from boundary data assuming that the region of interest is illuminated at an initial time.
Acosta, Sebastian
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Mean Field Asymptotic Behavior of Quantum Particles with Initial Correlations
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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Cauchy problem for the Boltzmann-BGK model near a global Maxwellian
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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The KdV hierarchy: universality and a Painleve transcendent
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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A Statistical Mechanics Approach to Describe Cell Reorientation Under Stretch. [PDF]
Bull Math Biol, 2023 Loy N, Preziosi L.
europepmc +1 more source
Boltzmann-type models with uncertain binary interactions
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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Kinetic Models for Epidemic Dynamics in the Presence of Opinion Polarization. [PDF]
Bull Math Biol, 2023 Zanella M.
europepmc +1 more source