Complex analytic solutions for the TQG model

Abstract We present a condition under which the thermal quasi-geostrophic (TQG) model possesses a solution that is holomorphic in time with values in the Gevrey space of complex analytic functions. This can be seen as the complex extension of the work by Levermore and Oliver (1997) for the generalised Euler equation but applied to the TQG model.

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Publication Details

Journal
Analysis
Published
2024-11-13
DOI
https://doi.org/10.1515/anly-2024-0062
Primary Topic
Navier-Stokes equation solutions
Type
article
Field-Weighted Citation Impact
0.00
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article

Complex analytic solutions for the TQG model

Prince Romeo Mensah
Analysis
Navier-Stokes equation solutions
article

Complex analytic solutions for the TQG model

Prince Romeo Mensah
article en

Abstract

Abstract We present a condition under which the thermal quasi-geostrophic (TQG) model possesses a solution that is holomorphic in time with values in the Gevrey space of complex analytic functions. This can be seen as the complex extension of the work by Levermore and Oliver (1997) for the generalised Euler equation but applied to the TQG model.

AnalysisVol. 45(2)
Clausthal University of Technology (DE)
Openalex Percentile: Top 67%
Navier-Stokes equation solutions
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Complex analytic solutions for the TQG model — Prince Romeo Mensah · Analysis (2024) | TGRS Research Map | TGRS