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Blow‐up for the b ‐family of equations
Fernando Cortez
Source abstract
In this paper, we consider the b ‐family of equations on the torus u t − u t x x +( b + 1) u u x = b u x u x x + u u x x x , which for appropriate values of b reduces to well‐known models, such as the Camassa–Holm equation or the Degasperis–Procesi equation. We establish a local‐in‐space blow‐up criterion. Copyright © 2016 John Wiley & Sons, Ltd.
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