Geodesic
Logarithmic asymptotics of solutions of the large deviation problem for the Boltzmann equation with small transfer of momentum
Matematičeskie zametki, Tome 64 (1998) no. 1, pp. 73-94

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For the Boltzmann equation with small transfer of momentum, we derive a system of nonlinear integral-differential equations describing the logarithmic asymptotics of the solution to the Cauchy problem in the domain at the distance $O(1)$ from the support of the initial condition. 
@article{MZM_1998_64_1_a8,
     author = {V. P. Maslov and A. M. Chebotarev},
     title = {Logarithmic asymptotics of solutions of the large deviation problem for the {Boltzmann} equation with small transfer of momentum},
     journal = {Matemati\v{c}eskie zametki},
     pages = {73--94},
     publisher = {mathdoc},
     volume = {64},
     number = {1},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_64_1_a8/}
}
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V. P. Maslov; A. M. Chebotarev. Logarithmic asymptotics of solutions of the large deviation problem for the Boltzmann equation with small transfer of momentum. Matematičeskie zametki, Tome 64 (1998) no. 1, pp. 73-94. http://geodesic.mathdoc.fr/item/MZM_1998_64_1_a8/