Zhenbang Li, Changchun Liu
Abstract:
We consider an initial-boundary problem for a sixth-order thin film equation,
which arises in the industrial application of the isolation oxidation
of silicon. Relying on some necessary uniform estimates of the approximate
solutions, we prove the existence of radial symmetric solutions to this
problem in the two-dimensional space. The nonnegativity and the finite
speed of propagation of perturbations of solutions are also discussed.
Submitted January 31, 2012. Published July 3, 2012.
Math Subject Classifications: 35D05, 35G25, 35Q99, 76A20.
Key Words: Sixth-order thin film equation; radial solution; existence;
finite speed of propagation.
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Zhenbang Li Department of Mathematics, Jilin University Changchun 130012, China email: jamesbom23@yahoo.com.cn | |
Changchun Liu Department of Mathematics, Jilin University Changchun 130012, China email: liucc@jlu.edu.cn |
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