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math.AP2010★ 2 cited
Eigenfunctions and Very Singular Similarity Solutions of Odd-Order Nonlinear Dispersion PDEs
R. S. Fernandes, V. A. Galaktionov
Asymptotic properties of solutions of odd-order nonlinear dispersion equations are studied. The global in time similarity solutions, which lead to eigenfunctions of the rescaled OD…
math.AP2010★ 2 cited
Local Bifurcation-Branching Analysis of Global and "Blow-up" Patterns for a Fourth-Order Thin Film Equation
P. Álvarez-Caudevilla, V. A. Galaktionov
The quasilinear fourth-order thin film equation in is shown to admit infinite countable families of global and blow-up similarity solutions, which are originated in the limit…
math.AP2010
On Continuous Branches of Very Singular Similarity Solutions of the Stable Thin Film Equation
J. D. Evans, V. A. Galaktionov
Continuous branches of similarity solutions of the fourth-order stable thin film equation are studied.