The stochastic primitive equations with transport noise and turbulent pressure

• Published in: Stochastic partial differential equations : analysis and computations Vol. 12; no. 1; pp. 53 - 133
• Main Authors: Agresti, Antonio, Hieber, Matthias, Hussein, Amru, Saal, Martin
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.03.2024
• Subjects: Computational Mathematics and Numerical Analysis; Computational Science and Engineering; Mathematics; Mathematics and Statistics; Numerical Analysis; Partial Differential Equations; Probability Theory and Stochastic Processes; Statistical Theory and Methods; 76M35; 76U60; Stochastic partial differential equations; Primitive equations; Kraichnan’s turbulence; Primary 35Q86; Global existence; Turbulence flows; Secondary 35R60; 60H15; Transport noise; Stochastic maximal regularity

In this paper we consider the stochastic primitive equation for geophysical flows subject to transport noise and turbulent pressure. Admitting very rough noise terms, the global existence and uniqueness of solutions to this stochastic partial differential equation are proven using stochastic maximal...