论文信息 - The milne and kramers problems for the boltzmann equation of a hard sphere gas

The milne and kramers problems for the boltzmann equation of a hard sphere gas

Existence, uniqueness and properties of asymptotic behavior are proved for solutions of the Milne and Kramers problems for the linearized Boltzmann equation for a gas of hard spheres. The proof uses energy-like estimates and follows the analysis of Bardos, Santos and Sentis for the equations of neutron transport.

[1] Raphael Aronson,et al. Theory and application of the Boltzmann equation , 1976 .

[2] F. Grünbaum. Linearization for the Boltzmann equation , 1972 .

[3] C. Mee,et al. A stationary criticality problem in generalLp-space for energy dependent neutron transport in cylindrical geometry , 1984 .

[4] C. Mee,et al. An abstract approach to evaporation models in rarefied gas dynamics , 1984 .

[5] C. Mee. Albedo operators and H-equations for generalized kinetic models , 1984 .

[6] Y. Pao. Temperature and Density Jumps in the Kinetic Theory of Gases and Vapors , 1971 .

[7] C. Bardos,et al. DIFFUSION APPROXIMATION AND COMPUTATION OF THE CRITICAL SIZE , 1984 .

[8] I. Vidav. Spectra of perturbed semigroups with applications to transport theory , 1970 .

[9] N. Maslova. Kramers problem in the kinetic theory of gases , 1982 .