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math.AP2021
Energy-dissipation for time-fractional phase-field equations
Dong Li, Chaoyu Quan, Jiao Xu
We consider a class of time-fractional phase field models including the Allen-Cahn and Cahn-Hilliard equations. We establish several weighted positivity results for functionals dri…
math.AP2013★ 18 cited
Fast-moving finite and infinite trains of solitons for nonlinear Schrödinger equations
Stefan Le Coz, Dong Li, Tai-Peng Tsai
We study *infinite soliton trains* solutions of nonlinear Schrödinger equations (NLS), i.e. solutions behaving at large time as the sum of infinitely many solitary waves. Assuming…