期刊
EUROPEAN JOURNAL OF APPLIED MATHEMATICS
卷 15, 期 -, 页码 713-754出版社
CAMBRIDGE UNIV PRESS
DOI: 10.1017/S0956792504005753
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We examine a number of initial boundary value problems for a paradigm sixth-order degenerate parabolic equation of the form h(1) = (h(n)h(xxxxx))(x) which arises when considering the motion of a thin film of viscous fluid driven by an overlying elastic plate. Analytical and numerical methods are exploited to characterise the solutions, which turn out to be rather sensitive to the value of n.
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