On a quasilinear nonlocal Benney system

João Paulo Dias, Filipe Oliveira

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


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 languageEnglish
Pages (from-to)135-156
Number of pages22
JournalJournal of Hyperbolic Differential Equations
Issue number1
Publication statusPublished - 1 Mar 2017


  • Benney systems
  • Blow-up
  • Bound-state solutions
  • Cauchy problem


Dive into the research topics of 'On a quasilinear nonlocal Benney system'. Together they form a unique fingerprint.

Cite this