TITLE

# The expansion of a wedge of gas into vacuum with small angle in two-dimensional isothermal flow

AUTHOR(S)
Ge, Ju; Sheng, Wancheng
PUB. DATE
May 2016
SOURCE
Chinese Annals of Mathematics;May2016, Vol. 37 Issue 3, p395
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
In this paper, the authors consider the expansion problem of a wedge of gas into vacuum for the two-dimensional Euler equations in isothermal flow. By the bootstrapping argument, they prove the global existence of the smooth solution through the direct method in the case $$0 < \theta \leqslant \bar \theta = \arctan \tfrac{1} {{\sqrt {2 + \sqrt 5 } }}$$, where Î¸ is the half angle of the wedge. Furthermore, they get the uniform C estimates of the solution to the expansion problem.
ACCESSION #
114818664

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