An Example of Nonuniqueness for Solutions to the Homogeneous Boltzmann Equation

被引:1
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作者
Bernt Wennberg
机构
[1] Chalmers University of Technology,Department of Mathematics
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关键词
Boltzmann equation; hard-potential interaction; nonuniqueness; nonconservation of energy;
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摘要
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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页码:469 / 477
页数:8
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