On Diffusive Equilibria in Generalized Kinetic Theory |
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| Authors: | Carlo Cercignani Reinhard Illner Cristina Stoica |
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| Institution: | (1) Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, I-20133 Milano, Italy;(2) Department of Mathematics and Statistics, University of Victoria, P.O. Box 3045, Victoria, British Columbia, Canada, V8W 3P4 |
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| Abstract: | We investigate the solvability of equations
Q(f,f)+
2
 f=0
in term of nonnegative integrable densities fL
1
+(R
3). Here, Q(f, f) is a generalized collision operator. If Q is the Boltzmann operator, the only solution is 0. In contrast, we show that if Q is the pseudo-Maxwellian collision operator for granular flow, then there are non -trivial weak solutions of ( ). |
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| Keywords: | diffusive equilibria kinetic granular flow |
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