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- W3035548280 abstract "Hyperbolic conservation laws are utilized to describe a variety of real-world applications, which require the consideration of the influence of uncertain parameters on the solution to the problem. To extend these models, one is often interested in including discontinuities in the state space to the flux function of the conservation law. This paper studies the solution of a stochastic nonlinear hyperbolic partial differential equation (PDE), whose flux function contains random spatial discontinuities. The first part of the paper defines the corresponding stochastic adapted entropy solution and required properties for existence and uniqueness are addressed. The second part contains the numerical simulation of the nonlinear hyperbolic problem as well as the estimation of the expectation of the problem via the multilevel Monte Carlo method." @default.
- W3035548280 created "2020-06-19" @default.
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- W3035548280 creator A5015543398 @default.
- W3035548280 date "2020-01-01" @default.
- W3035548280 modified "2023-09-26" @default.
- W3035548280 title "Hyperbolic Conservation Laws with Stochastic Discontinuous Flux Functions" @default.
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- W3035548280 doi "https://doi.org/10.1007/978-3-030-43651-3_23" @default.
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