Interaction Equations for Short and Long Dispersive Waves

Daniella Bekiranov, Takayoshi Ogawa, Gustavo Ponce

Research output: Contribution to journalArticlepeer-review

80 Citations (Scopus)


We show the time-local well-posedness for a system of nonlinear dispersive equations for the water wave interaction[formula]It is shown that for any initial data (u0,v0)∈Hs(R)×Hs-1/2(R) (s≥0), the solution for the above equation uniquely exists in a subset ofC((-T,T);Hs)×C((-T,T);Hs-1/2) and depends continuously on the data. By virtue of a special structure of the nonlinear coupling, the solution is stable under a singular limiting process.

Original languageEnglish
Pages (from-to)357-388
Number of pages32
JournalJournal of Functional Analysis
Issue number2
Publication statusPublished - 1998 Oct 1


Dive into the research topics of 'Interaction Equations for Short and Long Dispersive Waves'. Together they form a unique fingerprint.

Cite this