We consider the Novikov equation, which contains nonlinear dispersive effects. We prove that as the diffusion parameter tends to zero, the solution of the dispersive equation converges to the unique entropy solution of a scalar conservation law. The proof relies on deriving suitable a priori estimates together with an application of the compensated compactness method in the $L^p$ setting.
A note on the convergence of the solution of the Novikov equation / Coclite, Giuseppe Maria; di Ruvo, Lorenzo. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES B.. - ISSN 1531-3492. - STAMPA. - 24:6(2019), pp. 2865-2899. [10.3934/dcdsb.2018290]
A note on the convergence of the solution of the Novikov equation
Coclite, Giuseppe Maria
;
2019-01-01
Abstract
We consider the Novikov equation, which contains nonlinear dispersive effects. We prove that as the diffusion parameter tends to zero, the solution of the dispersive equation converges to the unique entropy solution of a scalar conservation law. The proof relies on deriving suitable a priori estimates together with an application of the compensated compactness method in the $L^p$ setting.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
