scholarly journals A Kinetic Model for Vehicular Traffic: Existence of Stationary Solutions

1999 ◽  
Vol 237 (2) ◽  
pp. 622-643 ◽  
Author(s):  
R. Illner ◽  
A. Klar ◽  
H. Lange ◽  
A. Unterreiter ◽  
R. Wegener
Keyword(s):  
Kinetic Model ◽  
Stationary Solutions ◽  
Vehicular Traffic

scholarly journals A Convergence Theorem for the Nonequilibrium States in the Discrete Thermostatted Kinetic Theory

Mathematics ◽  
2019 ◽  
Vol 7 (8) ◽  
pp. 673
Author(s):  
Carlo Bianca ◽  
Marco Menale
Keyword(s):  
Mathematical Modeling ◽  
Fourier Transform ◽  
Kinetic Model ◽  
Stationary Solutions ◽  
Stationary States ◽  
Rigorous Proof ◽  
Nonequilibrium Stationary States ◽  
Dissipative Term ◽  
External Force Field ◽  
Nonequilibrium States

The existence and reaching of nonequilibrium stationary states are important issues that need to be taken into account in the development of mathematical modeling frameworks for far off equilibrium complex systems. The main result of this paper is the rigorous proof that the solution of the discrete thermostatted kinetic model catches the stationary solutions as time goes to infinity. The approach towards nonequilibrium stationary states is ensured by the presence of a dissipative term (thermostat) that counterbalances the action of an external force field. The main result is obtained by employing the Discrete Fourier Transform (DFT).

scholarly journals An explicitly solvable kinetic model for vehicular traffic and associated macroscopic equations

2002 ◽  
Vol 35 (5-6) ◽  
pp. 591-606 ◽  
Author(s):  
M. Günther ◽  
A. Klar ◽  
T. Materne ◽  
R. Wegener
Keyword(s):  
Kinetic Model ◽  
Vehicular Traffic ◽  
Macroscopic Equations

PAH contamination of the grass Lolium perenne exposed to vehicular traffic

Agronomie ◽  
2004 ◽  
Vol 24 (8) ◽  
pp. 503-506 ◽  
Author(s):  
Cécile Crépineau-Ducoulombier ◽  
Abdourahamane Tankari Dan-Badjo ◽  
Guido Rychen
Keyword(s):  
Lolium Perenne ◽  
Vehicular Traffic
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