Complex analytic solutions for the TQG model

2024/05/01 by Prince Romeo Mensah, Mensah, Prince Romeo
Economics, Econometrics and Finance · #Analysis of PDEs (math.AP) #Complex Variables (math.CV) #FOS: Mathematics #Stochastic processes and financial applications

paper · pdf · doi:10.48550/arxiv.2405.00575

openalex publication_date 2024/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 generalized Euler equation but applied to the TQG model.

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