Giuseppe Maria Coclite, Lorenzo di Ruvo
Published 2014-03-22Version 1
We consider the regularized short-pulse equation, which contains nonlinear dis- persive effects. We prove that as the diffusion parameter tends to zero, the solutions of the dispersive equation converge to discontinuous weak solutions of the short-pulse one. The proof relies on deriving suitable a priori estimates together with an application of the compensated compactness method in the Lp setting.
On the convergence of statistical solutions of the 3D Navier-Stokes-$α$ model as $α$ vanishes
Compensated Compactness Method on a Model of Non-isentropic Polytropic Gas Flow with Varying Entropy
Convergence of the Ostrovsky equation to the Ostrovsky-Hunter one
![QR code for arXiv:1403.5674 [math.AP]](http://oss.arxitics.com/images/favicon.svg)