An Example of Nonuniqueness for Solutions to the Homogeneous Boltzmann Equation |
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Authors: | Wennberg Bernt |
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Institution: | (1) Department of Mathematics, Chalmers University of Technology, S-41296 Göteborg, Sweden |
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Abstract: | The paper deals with the spatially homogeneous Boltzmann equation for hard potentials. An example is given which shows that, even though it is known that there is only one solution that conserves energy, there may be other solutions for which the energy is increasing; uniqueness holds if and only if energy is assumed to be conserved. |
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Keywords: | Boltzmann equation hard-potential interaction nonuniqueness nonconservation of energy |
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