Well-posedness of Bayesian inverse problems for hyperbolic conservation laws
METADATA ONLY
Loading...
Author / Producer
Date
2021-07
Publication Type
Report
ETH Bibliography
yes
Citations
Altmetric
METADATA ONLY
Data
Rights / License
Abstract
We study the well-posedness of the Bayesian inverse problem for scalar hyperbolic conservation laws where the statistical information about inputs such as the initial datum and (possibly discontinuous) flux function are inferred from noisy measurements. In particular, the Lipschitz continuity of the measurement to posterior map as well as the stability of the posterior to approximations, are established with respect to the Wasserstein distance. Numerical experiments are presented to illustrate the derived estimates.
Permanent link
Publication status
published
Editor
Book title
Journal / series
Volume
2021-24
Pages / Article No.
Publisher
Seminar for Applied Mathematics, ETH Zurich
Event
Edition / version
Methods
Software
Geographic location
Date collected
Date created
Subject
Inverse problem; Bayesian; Wasserstein distance; Conservation laws
Organisational unit
03851 - Mishra, Siddhartha / Mishra, Siddhartha