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Quantitative perturbative study of convergence to equilibrium for collisional kinetic models in the torus
2006
Nonlinearity
For a general class of linear collisional kinetic models in the torus, including in particular the linearized Boltzmann equation for hard spheres, the linearized Landau equation with hard and moderately soft potentials and the semi-classical linearized fermionic and bosonic relaxation models, we prove explicit coercivity estimates on the associated integro-differential operator for some modified Sobolev norms. We deduce existence of classical solutions near equilibrium for the full non-linear
doi:10.1088/0951-7715/19/4/011
fatcat:o3ipr2mmlvd6hn332qf6hjsmua