Convergence of the regularized short pulse equation to the short pulse one
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Publication:4639502
DOI10.1002/mana.201600301zbMath1407.35016arXiv1403.5674OpenAlexW2963231808MaRDI QIDQ4639502
Lorenzo di Ruvo, Giuseppe Maria Coclite
Publication date: 9 May 2018
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1403.5674
singular limitcompensated compactnessentropy conditionnonlinear dispersive effectsdiscontinuous weak solutions
Singular perturbations in context of PDEs (35B25) Wave equation (35L05) Hyperbolic conservation laws (35L65) Initial value problems for nonlinear higher-order PDEs (35G25)
Related Items (12)
A note on the non-homogeneous initial boundary problem for an Ostrovsky-Hunter type equation ⋮ Discontinuous solutions for the short-pulse master mode-locking equation ⋮ On the convergence of the modified Rosenau and the modified Benjamin-Bona-Mahony equations ⋮ Well-posedness and dispersive/diffusive limit of a generalized Ostrovsky-Hunter equation ⋮ Well-posedness and blow-up for a non-local elliptic-hyperbolic system related to short-pulse equation ⋮ Unnamed Item ⋮ On the solutions for an Ostrovsky type equation ⋮ A note on the convergence of the solution of the high order Camassa-Holm equation to the entropy ones of a scalar conservation law ⋮ Well-posedness of the classical solutions for a Kawahara-Korteweg-de Vries-type equation ⋮ A non-local elliptic-hyperbolic system related to the short pulse equation ⋮ On the solutions for a Benney-Lin type equation ⋮ On the initial-boundary value problem for a non-local elliptic-hyperbolic system related to the short pulse equation
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