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The dissipative linear Boltzmann equation
We introduce and discuss a linear Boltzmann equation describing dissipative interactions of a gas of test particles with a fixed background. For a pseudo-Maxwellian collision kernel, it is shown that, if the initial distribution has finite temperature, the solution converges exponentially for large–time to a Maxwellian profile drifting at the same velocity as field particles and with a universa...
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– Within the framework of the homogeneous nonlinear Boltzmann equation, we present a new analytic method, without the intrinsic limitations of existing methods, for obtaining asymptotic solutions. This method permits the extension of existing results for Maxwell molecules and hard spheres to large classes of particle interactions, from very hard spheres to softer than Maxwell molecules, as well...
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2004
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(04)90066-3