The Cauchy problem for a tenth-order thin film equation. II: Oscillatory source-type and fundamental similarity solutions

DOI10.3934/dcds.2015.35.807zbMathNonearXiv1407.5554OpenAlexW2963211186MaRDI QIDQ477375

Pablo Álvarez-Caudevilla, Victor A. Galaktionov, Jonathan D. Evans

Publication date: 3 December 2014

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.5554

zbMATH Keywords

thin film equationthe Cauchy problemsource-type global similarity solutions of changing sign

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Degenerate parabolic equations (35K65) Nonlinear higher-order PDEs (35G20) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50)

Related Items (2)

The Cauchy problem for a tenth-order thin film equation. I. bifurcation of oscillatory fundamental solutions ⋮ The Cauchy problem for a tenth-order thin film equation. II: Oscillatory source-type and fundamental similarity solutions

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