On a quasilinear nonlocal Benney system

João Paulo Dias; Filipe Oliveira

doi:10.1142/S0219891617500047

On a quasilinear nonlocal Benney system

João Paulo Dias, Filipe Oliveira

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We study a quasilinear nonlocal Benney system and establish the existence and uniqueness of strong local in time solutions to the corresponding Cauchy problem. We also show, under certain conditions, the blow-up of such solutions in finite time. Furthermore, we prove the existence of global weak solutions and exhibit bound-state solutions to this system.

Original language	English
Pages (from-to)	135-156
Number of pages	22
Journal	Journal of Hyperbolic Differential Equations
Volume	14
Issue number	1
DOIs	https://doi.org/10.1142/S0219891617500047
Publication status	Published - 1 Mar 2017

Keywords

Benney systems
Blow-up
Bound-state solutions
Cauchy problem

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10.1142/S0219891617500047

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AB - We study a quasilinear nonlocal Benney system and establish the existence and uniqueness of strong local in time solutions to the corresponding Cauchy problem. We also show, under certain conditions, the blow-up of such solutions in finite time. Furthermore, we prove the existence of global weak solutions and exhibit bound-state solutions to this system.

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KW - Bound-state solutions

KW - Cauchy problem

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On a quasilinear nonlocal Benney system

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Keywords

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