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arXiv · 1312.2762

On Oscillations of Solutions of the Fourth-Order Thin Film Equation Near Heteroclinic Bifurcation Point

Victor A. Galaktionov
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Abstract

It is shown that solutions of the Cauchy for the fourth-order thin film equation becomes non-oscillatory and non-sign-changing precisely at and above the heteroclinic bifurcation point n=1.75987..., so that, possibly, these solutions begin to coincide with nonnegative solutions of a standard and well-known free-boundary problem.

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Victor A. Galaktionov. 2013-12-10. On Oscillations of Solutions of the Fourth-Order Thin Film Equation Near Heteroclinic Bifurcation Point. https://arxiv.org/abs/1312.2762

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