Time-periodic solutions to an energy balance model coupled with an active fluid under arbitrary large forces

Gianmarco Del Sarto; Matthias Hieber; Filippo Palma; Tarek Zöchling

Time-periodic solutions to an energy balance model coupled with an active fluid under arbitrary large forces

Analysis of PDEs 2025-12-05 v1 Mathematical Physics math.MP

Authors: Gianmarco Del Sarto , Matthias Hieber , Filippo Palma , Tarek Zöchling

Abstract

This article concerns time-periodic solutions to a two-dimensional Sellers-type energy balance model coupled to the three-dimensional primitive equations via a dynamic boundary condition. It is shown that the underlying equations admit at least one strong time-periodic solution, provided the forcing term is time-periodic. The forcing term does not need to satisfy a smallness condition and is allowed to be arbitrarily large.

Keywords

time-periodic solutions energy balance model primitive equations dynamic boundary condition forcing term

Cite

@article{arxiv.2512.04800,
  title  = {Time-periodic solutions to an energy balance model coupled with an active fluid under arbitrary large forces},
  author = {Gianmarco Del Sarto and Matthias Hieber and Filippo Palma and Tarek Zöchling},
  journal= {arXiv preprint arXiv:2512.04800},
  year   = {2025}
}

Comments

This paper has been accepted for publication in Nonlinear Analysis: Real World Applications

Time-periodic solutions to an energy balance model coupled with an active fluid under arbitrary large forces

Abstract

Keywords

Cite

Comments

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