Almost Sure Error Bounds for Data Assimilation in Dissipative Systems with Unbounded Observation Noise
From MaRDI portal
Publication:4562433
DOI10.1137/17M1162305zbMath1409.62183arXiv1805.02990OpenAlexW2964187148MaRDI QIDQ4562433
Jochen Bröcker, Tobias Kuna, Lea Oljača
Publication date: 20 December 2018
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.02990
Inference from stochastic processes and prediction (62M20) Applications of statistics to environmental and related topics (62P12) Navier-Stokes equations (35Q30) Generation, random and stochastic difference and differential equations (37H10)
Related Items (2)
Continuous data assimilation for the three-dimensional simplified Bardina model utilizing measurements of only two components of the velocity field ⋮ Vectorial variational problems in L ∞ constrained by the Navier–Stokes equations*
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analysis of the 3DVAR filter for the partially observed Lorenz '63 model
- Discrete data assimilation in the Lorenz and 2D Navier-Stokes equations
- On the number of determining nodes for the 2D Navier-Stokes equations
- Infinite-dimensional dynamical systems in mechanics and physics.
- Determining modes for continuous data assimilation in 2D turbulence
- The Lorenz equation as a metaphor for the Navier-Stokes equations.
- Accuracy and stability of filters for dissipative PDEs
- Filter accuracy for the Lorenz 96 model: fixed versus adaptive observation operators
- Sur le comportement global des solutions non-stationnaires des équations de Navier-Stokes en dimension 2
- Long-Time Asymptotics of the Filtering Distribution for Partially Observed Chaotic Dynamical Systems
- Inverse problems: A Bayesian perspective
- Determination of the Solutions of the Navier-Stokes Equations by a Set of Nodal Values
- Atmospheric and Oceanic Fluid Dynamics
- Deterministic Nonperiodic Flow
- Continuous data assimilation with stochastically noisy data
- Data Assimilation
- The ensemble Kalman filter for combined state and parameter estimation
- Data assimilation: Mathematical and statistical perspectives
- A Discrete Data Assimilation Scheme for the Solutions of the Two-Dimensional Navier--Stokes Equations and Their Statistics
This page was built for publication: Almost Sure Error Bounds for Data Assimilation in Dissipative Systems with Unbounded Observation Noise