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Arnaud Debussche
Researcher at École Normale Supérieure
Publications - 145
Citations - 5616
Arnaud Debussche is an academic researcher from École Normale Supérieure. The author has contributed to research in topics: Stochastic partial differential equation & Partial differential equation. The author has an hindex of 41, co-authored 139 publications receiving 4958 citations. Previous affiliations of Arnaud Debussche include École normale supérieure de Cachan & University of Rennes.
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Strong solutions to the stochastic quantization equations
TL;DR: In this paper, the authors prove the existence and uniqueness of a strong solution of the stochastic quantization equation in dimension 2 for almost all initial data with respect to the invariant measure.
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Stochastic Burgers' equation
TL;DR: In this paper, the authors consider a Burgers' equation perturbed by white noise and prove the existence and uniqueness of the global solution as well as the existence of an invariant measure for the corresponding transition semigroup.
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Two-Dimensional Navier--Stokes Equations Driven by a Space--Time White Noise
TL;DR: In this paper, the Navier-Stokes equations with periodic boundary conditions perturbed by a space-time white noise were studied and a stationary martingale solution was constructed.
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Ergodicity for the 3D stochastic Navier–Stokes equations
TL;DR: In this article, the authors considered the Kolmogorov equation associated with the stochastic Navier-Stokes equations in 3D and proved existence of a solution in the strict or mild sense.
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The Stochastic Nonlinear Schrödinger Equation in H 1
A. de Bouard,Arnaud Debussche +1 more
TL;DR: In this article, the local and global existence of solutions in the energy space H 1(R n ) for stochastic nonlinear Schrodinger equations with either additive or multiplicative noise was investigated.