Low stratification of the complete Euler system

Jan Březina, Václav Mácha

Research output: Contribution to journalArticlepeer-review


The present paper takes advantage of the concept of dissipative measure-valued solutions to show the rigorous derivation of the Euler–Boussinesq (EB) system that has been successfully used in various meteorological models. In particular, we show that EB system can be obtained as a singular limit of the complete Euler system. We provide two types of result—firstly, we treat the case of well-prepared initial data for any sufficiently regular bounded domain. Secondly, we use the dispersive estimates for acoustic equation to tackle the case of the ill-prepared initial data on an unbounded exterior domain.

Original languageEnglish
Pages (from-to)735-761
Number of pages27
JournalJournal of Evolution Equations
Issue number1
Publication statusPublished - Mar 2021

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)


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