Geometric Stochastic Heat Equations

Martin Hairer, Franck Raymond Gabriel
2022
Journal Articles

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Martin Hairer, Franck Raymond Gabriel
2022
Journal Articles

Source officielle

Publications associées (11)

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Publications associées (11)

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Space-time statistics of a linear dynamical energy cascade model dagger

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A linear dynamical model for the development of the turbulent energy cascade was introduced in Apolina ' rio et al. (J. Stat. Phys., 186, 15 (2022)). This partial differential equation, randomly stirred by a forcing term which is smooth in space and delta- ...

AMER INST MATHEMATICAL SCIENCES-AIMS2023

Fredholm transformation on Laplacian and rapid stabilization for the heat equation

Shengquan Xiang

We study the rapid stabilization of the heat equation on the 1-dimensional torus using the backstepping method with a Fredholm transformation. This classical framework allows us to present the backstepping method with Fredholm transformations for the Lapla ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2022

Existence of dynamical low rank approximations for random semi-linear evolutionary equations on the maximal interval

Fabio Nobile, Yoshihito Kazashi

An existence result is presented for the dynamical low rank (DLR) approximation for random semi-linear evolutionary equations. The DLR solution approximates the true solution at each time instant by a linear combination of products of deterministic and sto ...

2021