Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841720 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 19 Pages |
Abstract
As a key example, the sixth-order doubly degenerate parabolic equation from thin film theory, ut=(|u|m|uxxxxx|nuxxxxx)xinRÃR+, with two parameters, nâ¥0 and mâ(ân,n+2), is considered. In this first part of the research, various local properties of its particular travelling wave and source-type solutions are studied. Most complete analytic results on oscillatory structures of these solutions of changing sign are obtained for m=1 by an algebraic-geometric approach, with extension by continuity for mâ1.
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Authors
M. Chaves, V.A. Galaktionov,