Caflisch[1，2]在Euler方程存在光滑解的假设下，证明了Boltzmann方程存在一个解，且该解在平均自由程趋于零的极限下与Euler解一致．不幸的是Caflisch的证明有错误，其关键的引理6．1的结论太弱，不足以完成主要定理的证明．事实上，Caflisch在证明主要定理时，使用了比引理6．

There are errata in Caflisch's paper on the relation between the nonlinearBoltzmann equation and the fluid dynamics, where the result of Lemma 6.1 is too weak tocomplete the proof of his main theorem. An inequality is now given, which is an impr