Well-posedness of Bayesian inverse problems for hyperbolic conservation laws

07/20/2021
by   Siddhartha Mishra, et al.
0

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.

READ FULL TEXT

Please sign up or login with your details

Forgot password? Click here to reset