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On the blow-up structure for the generalized periodic Camassa-Holm and Degasperis-Procesi equations
The Camassa-Holmequation The Degasperis-Procesi equa-tion The Hunter-Saxton equation
2010/9/1
Considered herein are the generalized Camassa-Holm and Degasperis-Procesi equations in the spatially periodic setting. The pre-cise blow-up scenarios of strong solutions are derived for both of equa-t...
Blow-up and global existence for a general class of nonlocal nonlinear coupled wave equations
Nonlocal Cauchy problem Boussinesq equation Global existence Blow-up
2010/9/1
We study the initial-value problem for a general class of nonlinear nonlocal coupled wave equations. The problem involves convolution operators with kernel functions whose Fourier transforms are nonne...