Large Time Asymptotics for the Reduced Ostrovsky Equation

Nakao Hayashi, Pavel I. Naumkin

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


We consider the Cauchy problem for the reduced Ostrovsky equation (Formula Presented) with real valued initial data (Formula Presented). We introduce the factorization for the free evolution group to prove the global existence of solutions. Also, we show that the large time asymptotics of solutions has a logarithmic correction in the phase comparing with the corresponding linear case.

Original languageEnglish
Pages (from-to)713-738
Number of pages26
JournalCommunications in Mathematical Physics
Issue number2
Publication statusPublished - 2015 Apr


Dive into the research topics of 'Large Time Asymptotics for the Reduced Ostrovsky Equation'. Together they form a unique fingerprint.

Cite this