Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (6): 1001-1012.

• Articles •     Next Articles

The Global Classical Solution to a Free Boundary Problem in the Peeling Phenomenon

 ZHAO Wei-Xia   

  1. School of Mathematical Science, Fudan University, Shanghai 200433
  • Received:2012-01-10 Revised:2013-02-27 Online:2013-12-25 Published:2013-12-25
  • Supported by:

    国家自然科学基金重点项目“非线性双曲型与混合型偏微分方程”(11031001)和教育部博士点基金“跨音速流与非线性混合型方程”(20090071110002)资助

Abstract:

In the paper, a free boundary problem which arises in the peeling phenomenon without an initial interval is considered. The local existence and uniqueness of the classical solution to the problem  are obtained under some conditions which
are naturally satisfied in the physical model. The global existence and uniqueness of the classical solution are also obtained under two kinds of assumptions which intersect but do not contain each other.

Key words: Free boundary problem, Peeling phenomenon, Global existence and uniqueness

CLC Number: 

  • 35L70
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