Self-similar blow-up profiles of the Hunter-Saxton equation remain stable in the regularized Saint-Venant equations and produce sharp C^{3/5} Hölder regularity at singularity formation.
Leray,Essai sur les mouvements plans d’un fluide visqueux que limitent des parois, J
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Asymptotic self-similar blow-up for the regularized Saint-Venant equations
Self-similar blow-up profiles of the Hunter-Saxton equation remain stable in the regularized Saint-Venant equations and produce sharp C^{3/5} Hölder regularity at singularity formation.