140 citations · 709 across the 61 of their papers we have counts for
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math.AP2014
Long-time behavior, invariant measures and regularizing effects for stochastic scalar conservation laws
Benjamin Gess, Panagiotis E. Souganidis
We study the long-time behavior and the regularity of pathwise entropy solutions to stochastic scalar conservation laws with random in time spatially homogeneous fluxes and periodi…
math.AP2014
Scalar conservation laws with multiple rough fluxes
Benjamin Gess, Panagiotis E. Souganidis
We study pathwise entropy solutions for scalar conservation laws with inhomogeneous fluxes and quasilinear multiplicative rough path dependence. This extends the previous work of L…
math.AP2014
Stochastic scalar conservation laws driven by rough paths
Peter K. Friz, Benjamin Gess
We prove the existence and uniqueness of solutions to a class of stochastic scalar conservation laws with joint space-time transport noise and affine-linear noise driven by a geome…