We consider the regularized short-pulse equation, which contains nonlinear dispersive 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.
Convergence of the regularized short pulse equation to the short pulse one / Coclite, Giuseppe Maria; di Ruvo, Lorenzo. - In: MATHEMATISCHE NACHRICHTEN. - ISSN 0025-584X. - STAMPA. - 291:5-6(2018), pp. 774-792. [10.1002/mana.201600301]
Convergence of the regularized short pulse equation to the short pulse one
Coclite, Giuseppe Maria
;
2018-01-01
Abstract
We consider the regularized short-pulse equation, which contains nonlinear dispersive 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.File in questo prodotto:
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