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Talk Abstract
Maximum Entropy Moment Problems and Extended Euler Equations

Michael Junk
FB Mathematik
Universität Kaiserslautern


The five-moment closure in Levermore's moment hierarchy is considered as a model problem for an extended Euler system which involves velocity moments up to order four. It is obtained by taking moments of the one- dimensional Boltzmann equation under the assumption that the velocity distribution is a maximum-entropy function. The moment vectors for which a maximum-entropy function exist consequently make up the domain of definition of the system. The aim of this talk is to give a complete characterization of the structure of the domain of definition and the connected maximum-entropy problem. Properties of the flux function of the five moment system are also studied and numerical difficulties connected with the evaluation of the flux are addressed.

Material from talk pdf (140KB)    postscript (731KB)

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