WeconsidertheKawahara-Korteweg-deVriesequation,whichcon- tains nonlinear dispersive effects. We prove that as the dispersion parameter tends to zero, the solutions of the dispersive equation converge to discontinuous weak solutions of the Burgers equation. The proof relies on deriving suitable a priori estimates together with an application of the compensated compactness method in the L^p setting.

A singular limit problem for conservation laws related to the Kawahara-Korteweg-de Vries equation / Coclite, Giuseppe Maria; Di RUVO, L.. - In: NETWORKS AND HETEROGENEOUS MEDIA. - ISSN 1556-1801. - 11:2(2016), pp. 281-300. [10.3934/nhm.2016.11.281]

A singular limit problem for conservation laws related to the Kawahara-Korteweg-de Vries equation

COCLITE, Giuseppe Maria;
2016-01-01

Abstract

WeconsidertheKawahara-Korteweg-deVriesequation,whichcon- tains nonlinear dispersive effects. We prove that as the dispersion parameter tends to zero, the solutions of the dispersive equation converge to discontinuous weak solutions of the Burgers equation. The proof relies on deriving suitable a priori estimates together with an application of the compensated compactness method in the L^p setting.
2016
A singular limit problem for conservation laws related to the Kawahara-Korteweg-de Vries equation / Coclite, Giuseppe Maria; Di RUVO, L.. - In: NETWORKS AND HETEROGENEOUS MEDIA. - ISSN 1556-1801. - 11:2(2016), pp. 281-300. [10.3934/nhm.2016.11.281]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/93868
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