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Selection, shape and relaxation of fronts: A numerical study of the effects of inertia.

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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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SANCHO, José M. and SÁNCHEZ SÁNCHEZ, Ángel. Selection, shape and relaxation of fronts: A numerical study of the effects of inertia. Physical Review E. 2001. Vol. 63, num. 5, pags. 056608(5). ISSN 1539-3755. [consulted: 25 of May of 2026]. Available at: https://hdl.handle.net/2445/18704

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