TY - JOUR

T1 - The asymptotic properties of analytical solutions of the non-linear Boltzmann equation

AU - Romanovskii, Yu R.

PY - 1986

Y1 - 1986

N2 - The Cauchy problem for the non-linear Boltzmann equation is considered. The initial distribution is assumed to be fairly close to an equilibrium one and analytical with respect to the spatial variable. For small Knudsen numbers an approximate solution is constructed which differs from the well-known locally Maxwellian solution in its correction, which guarantees the uniform asymptotic accuracy in a fixed closed segment of time which includes the initial layer.

AB - The Cauchy problem for the non-linear Boltzmann equation is considered. The initial distribution is assumed to be fairly close to an equilibrium one and analytical with respect to the spatial variable. For small Knudsen numbers an approximate solution is constructed which differs from the well-known locally Maxwellian solution in its correction, which guarantees the uniform asymptotic accuracy in a fixed closed segment of time which includes the initial layer.

UR - http://www.scopus.com/inward/record.url?scp=46149138731&partnerID=8YFLogxK

U2 - 10.1016/0041-5553(86)90022-4

DO - 10.1016/0041-5553(86)90022-4

M3 - Article

AN - SCOPUS:46149138731

VL - 26

SP - 137

EP - 141

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

SN - 0965-5425

IS - 2

ER -