Sharp regularity of gradient blow-up solutions in the Camassa-Holm
equation
Sharp regularity of gradient blow-up solutions in the Camassa-Holm
equation
We study the formation of singularities in the Camassa-Holm (CH) equation, providing a detailed description of the blow-up dynamics and identifying the precise H\"older regularity of the gradient blow-up solutions. To this end, we first construct self-similar blow-up profiles and examine their properties, including the asymptotic behavior at infinity, which …