Global ETD Search
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Showing 1 to 3 of 3 for “"Multiple long-time solutions"”.
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Partial Differential Equations of Thin Liquid Films: Analysis and Numerical Simulation
… model. We restrict attention to traveling wave solutions of the thin film PDE for a film driven up an inclined planar solid surface by a thermally induced surface tension gradient. The range of effective contact slopes and parameter values are explained with the aid of Poincaré sections of the …
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Vortex-induced vibration of a linearly-sprung cylinder with nonlinear energy sinks
… resonance manifolds, and coexistence of multiple long-time solutions. We also investigate the extent to which a rotational NES affects the linear stability of the steady, symmetric, motionless-cylinder solution, as well as the onset of three-dimensionality in the wake. We additionally …
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Computation of the rise or fall of a drop through a suspending liquid with no mass transfer: Axisymmetric, transitional and complex regimes
… this using four test problems for which analytic solutions are available. An interface-fitted technique based on a stabilized Galerkin finite-element method is applied to the four test problems. We investigate Laplace’s equilibrium for a two-dimensional circular interface, an oscillating inviscid …