Branching analysis of a countable family of global similarity solutions of a fourth-order thin film equation
classification
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solutionsequationbranchingcountablefamilyfilmfourth-orderglobal
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We show that various asymptotic properties of global solutions of a fourth-order quasilinear thin film equation can be described by branching from corresponding solutions of the linear bi-harmonic equation. This includes a countable family of self-similar solutions and other aspects.
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