Geodesic
On the large-time behavior of solutions to the Cauchy problem for a~$2$-dimensional discrete kinetic equation
Contemporary Mathematics. Fundamental Directions, Proceedings of the Sixth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2011). Part 3, Tome 47 (2013), pp. 108-139

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Existence of global solution for a $2$-dimensional discrete equation of kinetics and expansion with respect to smoothness are obtained, and the effect of progressing waves generated by the operator of interaction is investigated. 
@article{CMFD_2013_47_a6,
     author = {E. V. Radkevich},
     title = {On the large-time behavior of solutions to the {Cauchy} problem for a~$2$-dimensional discrete kinetic equation},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {108--139},
     publisher = {mathdoc},
     volume = {47},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2013_47_a6/}
}
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E. V. Radkevich. On the large-time behavior of solutions to the Cauchy problem for a~$2$-dimensional discrete kinetic equation. Contemporary Mathematics. Fundamental Directions, Proceedings of the Sixth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2011). Part 3, Tome 47 (2013), pp. 108-139. http://geodesic.mathdoc.fr/item/CMFD_2013_47_a6/