Publisher's Synopsis
Excerpt from Singular and Nonuniform Limits of Solutions of the Boltzmann Equation
In a previous talk at this Symposium*, existence theorems covering a certain area of kinetic theory were given together with a rigorous analysis of the behavior at one singular limit (small mean free path). We now survey all (or at least many) of the singular limits to which solutions of the Boltzmann equation fall prey.
Since the available existence theory does not cover this extended territory, the present treatment will be formal rather than rigorous.
For coherence in the oral presentation, the emphasis was placed on a broad survey rather than on the new material We reverse this emphasis in the written text since there are other sources available for the details of many of the nonuniform limits which are here The new material consists of a unified formal treatment of the small mean free path limit in steady boundary value problems (secs. 7-10) and an analysis of the profile of a very strong shock (sec.
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