TY - JOUR
T1 - Long time solutions for the 2D inviscid Boussinesq equations with strong stratification
AU - Takada, Ryo
N1 - Funding Information:
This work was supported by JSPS KAKENHI Grant Number JP15H05436. Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Publisher Copyright:
© 2019, Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2021/1
Y1 - 2021/1
N2 - We consider the initial value problem of the 2D inviscid Boussinesq equations for stably stratified fluids. We prove the long time existence of classical solutions for large initial data in Hs(R2) with s> 2 when the buoyancy frequency is sufficiently high. Furthermore, we consider the singular limit of the strong stratification, and show that the asymptotic profile of the long time solution is given by the corresponding linear dispersive solution.
AB - We consider the initial value problem of the 2D inviscid Boussinesq equations for stably stratified fluids. We prove the long time existence of classical solutions for large initial data in Hs(R2) with s> 2 when the buoyancy frequency is sufficiently high. Furthermore, we consider the singular limit of the strong stratification, and show that the asymptotic profile of the long time solution is given by the corresponding linear dispersive solution.
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U2 - 10.1007/s00229-019-01174-1
DO - 10.1007/s00229-019-01174-1
M3 - Article
AN - SCOPUS:85076223881
SN - 0025-2611
VL - 164
SP - 223
EP - 250
JO - Manuscripta Mathematica
JF - Manuscripta Mathematica
IS - 1-2
ER -