Dispersive and diffisive limts for Otrovsky-Hunter type equation

2014/11/04 by Giuseppe Maria Coclite, G. M. Coclite, Coclite, G. M. +3 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Waves and Solitons #math.AP

paper · pdf · doi:10.48550/arxiv.1411.0989

arxiv created 2014/11/04 · openalex publication_date 2014/11/04 · arxiv updated 2014/11/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the Ostrovsky-Hunter type equation that includes the short pulse. We con- sider here the asymptotic behavior as gamma goes to 0. The proof relies on deriving suitable a priori estimates together with an application of the compensated compactness method in the L^p set- ting.

Citations

• Propagation of ultra-short optical pulses in cubic nonlinear media

Cited by

• A singular limit problem for the Ibragimov-Shabat equation

Related

• Convergence of the Ostrovsky equation to the Ostrovsky-Hunter one
• Convergence of the regularized short pulse equation to the short pulse one
• Wellposedness of the Ostrovsky-Hunter equation Under the combined effects of dissipation and short wave dispersion
• On the ground states of the Ostrovskyi equation and their stabilit
• Dynamics of small solutions in KdV type equations: decay inside the linearly dominated region