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math.AP2014
Steady state and long time convergence of spirals moving by forced mean curvature motion
Nicolas Forcadel, Cyril Imbert, Régis Monneau
In this paper, we prove the existence and uniqueness of a "steady" spiral moving with forced mean curvature motion. This spiral has a stationary shape and rotates with constant ang…
math.AP2014★ 4 cited
Existence and uniqueness of traveling wave for accelerated Frenkel-Kontorova model
Nicolas Forcadel, Amin Ghorbel, Sonda Walha
In this paper, we study the existence and uniqueness of traveling wave solution for the accelerated Frenkel-Kontorova model. This model consists in a system of ODE that describes t…