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Updated: Oct 7, 2026

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
Published on: February 22, 2018
Selection, shape, and relaxation of fronts: a numerical study of the effects of inertia
1Departament d'Estructura i Constituents de la Matéria, Universitat de Barcelona, Avenida Diagonal 647, 08028 Barcelona, Spain.
Abstract:
We study the problem of front propagation in the presence of inertia. We extend the analytical approach for the overdamped problem to this case, and present numerical results to support our theoretical predictions. Specifically, we conclude that the velocity and shape selection problem can still be described in terms of the metastable, nonlinear, and linear overdamped regimes. We study the characteristic relaxation dynamics of these three regimes, and the existence of degenerate ("quenched") solutions.
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