On a quasilinear nonlocal Benney system

DOI10.1142/S0219891617500047zbMath1387.35562arXiv1512.00837OpenAlexW2963568839MaRDI QIDQ2978142

João-Paulo Dias, Filipe Oliveira

Publication date: 21 April 2017

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.00837

zbMATH Keywords

Cauchy problemsblow upbound-state solutionsBenney systems

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Weak solutions to PDEs (35D30) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09) Strong solutions to PDEs (35D35) Initial value problems for second-order hyperbolic systems (35L52) Ion traps (78A37)

Related Items (3)

Well-posedness and lower bounds of the growth of weighted norms for the Schrödinger-Korteweg-de Vries interactions on the half-line ⋮ A quasilinear system related with the asymptotic equation of the nematic liquid crystal's director field ⋮ Linear stability of shock profiles for a quasilinear Benney system in ℝ2 × ℝ+

Cites Work

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• A SIMILARITY SOLUTION TO A PROBLEM IN NONLINEAR ION TRANSPORT WITH A NONLOCAL CONDITION

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