Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uncertainty quantification for hyperbolic conservation laws with flux
  coefficients given by spatiotemporal random fields   In this paper hyperbolic partial differential equations with random
coefficients are discussed. We consider the challenging problem of flux
functions with coefficients modeled by spatiotemporal random fields. Those
fields are given by correlated Gaussian random fields in space and
Ornstein-Uhlenbeck processes in time. The resulting system of equations
consists of a stochastic differential equation for each random parameter
coupled to the hyperbolic conservation law. We define an appropriate solution
concept in his setting and analyze errors and convergence of discretization
methods. A novel discretization framework, based on Monte Carlo Finite Volume
methods, is presented for the robust computation of moments of solutions to
those random hyperbolic partial differential equations. We showcase the
approach on two examples which appear in applications: The magnetic induction
equation and linear acoustics, both with a spatiotemporal random background
velocity field.

4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an