Continuous data assimilation for the 3D primitive equations of the ocean

2018/05/13 by Yuan Pei, Pei, Yuan · 4 citations
Engineering · Mathematics · #35B40 #35B45 #35B65 #35K40 #35K61 #35Q93 #76D03 #76D05 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1805.06007

openalex publication_date 2018/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we show that the continuous data assimilation algorithm is valid for the 3D primitive equations of the ocean. Namely, the L² norm of the assimilated solution converge to that of the reference solution at an exponential rate in time. We also prove the global existence of strong solution to the assimilated system.

Citations

• Global Uniform Boundedness of Solutions to viscous 3D Primitive Equations with Physical Boundary Conditions

Cited by

• Continuous Data Assimilation for the 2D Navier-Stokes Equations from Partial Tangential Boundary Observations
• Well-posedness and long time dynamics for a quasi-geostrophic ocean-atmosphere model with radiation balance
• Continuous data assimilation for 2D stochastic Navier-Stokes equations
• Data Assimilation in Large Eddy Simulation: Addressing Model-Observation Mismatch from Navier-Stokes Data

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• Continuous Data Assimilation for the Three Dimensional Navier-Stokes\n Equations