Dissipative Linear Boltzmann Equation for Hard Spheres |
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Authors: | Bertrand Lods Giuseppe Toscani |
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Institution: | (1) Dipartimento di Matematica, Universitá di Pavia, Italy |
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Abstract: | We prove the existence and uniqueness of an equilibrium state with unit mass to the dissipative linear Boltzmann equation with hard-spheres collision kernel describing inelastic interactions of a gas particles with a fixed background. The equilibrium state is a universal Maxwellian distribution function with the same velocity as field particles and with a non-zero temperature lower than the background one. Moreover thanks to the H-Theorem we prove strong convergence of the solution to the Boltzmann equation towards the equilibrium. |
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Keywords: | gases equilibrium state linear Fokker– Planck equation trend to equilibrium |
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