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math.AP2022
Fourier-Cattaneo equation: stochastic origin, variational formulation, and asymptotic limits
Alberto Montefusco, Upanshu Sharma, Oliver Tse
We introduce a variational structure for the Fourier-Cattaneo (FC) system which is a second-order hyperbolic system. This variational structure is inspired by the large-deviation r…
math.AP2019
Coarse-graining of non-reversible stochastic differential equations: quantitative results and connections to averaging
Carsten Hartmann, Lara Neureither, Upanshu Sharma
This work is concerned with model reduction of stochastic differential equations and builds on the idea of replacing drift and noise coefficients of preselected relevant, e.g. slow…