AD
Arnaud Debussche
math.PRmath.APmath.MPmath-phcs.NAmath.NAphysics.flu-dynbiochemical modelingEpidemiologyGene Regulatory Networks
On Valency
published · living versionsW_df35jtf8·v1 · currentpublished
From Random Advection to Transport Noise and the LU Framework for the Navier–Stokes Equations
with Bérenger Hug, Etienne Mémin
1 version
Preprints & journals
65 papers in the corpus · 2005–2026Well-posedness of a stochastic Navier-Stokes system with dynamically coupled subgrid scales2609.24396v1 · Arnaud Debussche, Etienne M'emin, S'ebastien Moskowitz2026 · 0 citationsarXiv
Coupled stochastic variational principles for multiscale surface gravity waves -- Part I: theoretical framework2608.27074v1 · Etienne M'emin, Arnaud Debussche2026 · 0 citationsarXivon Valency
Stochastic Transport and Wave Interactions for Multiscale Surface Gravity Waves: Part II: Kinetic Theory and Ocean-Wave Applications2608.27105v1 · E. M'emin, B. Chapron, A. Debussche et al.2026 · 0 citationsarXivon Valency
Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling2607.16132v1 · Arnaud Debussche, Martina Hofmanov'a2026 · 0 citationsarXiv
Law of large numbers for stochastic multiscale spatial gene networks2603.29446v1 · Arnaud Debussche, ENS Rennes, Baptiste Huguet et al.2026 · 0 citationsarXiv
Interpretation of stochastic primitive equations with relaxed hydrostatic assumption as a higher order approximation of 3D stochastic Navier-Stokes2602.04422v1 · Arnaud Debussche, 'Etienne M'emin, Antoine Moneyron2026 · 0 citationsarXiv
Preconditioning for the high-order sampling of the invariant distribution of parabolic semilinear SPDEs2512.17714v1 · Charles-Edouard Br'ehier, Adrien Busnot Laurent, Arnaud Debussche et al.2025 · 0 citationsarXiv
Stochastic interpretations of the oceanic primitive equations with relaxed hydrostatic assumptions2502.14946v2 · Arnaud Debussche, 'Etienne M'emin, Antoine Moneyron2025 · 0 citationsarXiv
From Stochastic Zakharov System to Multiplicative Stochastic Nonlinear Schrödinger Equation2409.14777v1 · Gr'egoire Barru'e (IRMAR), Anne de Bouard (CMAP), Arnaud Debussche (IRMAR)2024 · 0 citationsarXiv
Variational principles for fully coupled stochastic fluid dynamics across scales2409.12654v2 · Arnaud Debussche, Etienne M'emin2024 · 4 citationsarXiv
Some properties of a non-hydrostatic stochastic oceanic primitive equations model2407.02289v4 · Arnaud Debussche, 'Etienne M'emin, Antoine Moneyron2024 · 2 citationsarXiv
Derivation of stochastic models for coastal waves2407.02298v2 · Arnaud Debussche, 'Etienne M'emin, Antoine Moneyron2024 · 1 citationarXiv
Periodic nonlinear Schrödinger equation with distributional potential and invariant measures2405.00583v2 · Arnaud Debussche, Antoine Mouzard2024 · 0 citationsarXiv
Global well-posedness of the 2D nonlinear Schrödinger equation with multiplicative spatial white noise on the full space.38994452 · Debussche, Arnaud, Liu, Ruoyuan, Tzvetkov, Nikolay et al.2026 · 2 citationsProbability theory and related fields. 2024;189(3-4):1161-1218
Smoluchowski-Kramers diffusion approximation for systems of stochastic damped wave equations with non-constant friction2312.08925v1 · Sandra Cerrai, Arnaud Debussche2023 · 0 citationsarXiv
Rough analysis of two scale systems2306.15781v2 · Arnaud Debussche, Martina Hofmanov'a2023 · 1 citationarXiv
A consistent stochastic large-scale representation of the Navier-Stokes equations2207.07472v2 · Arnaud Debussche, Berenger Hug, Etienne Memin2022 · 14 citationsarXiv
Second order perturbation theory of two-scale systems in fluid dynamics2206.07775v2 · Arnaud Debussche, Umberto Pappalettera2022 · 19 citationsJ. Eur. Math. Soc. (2024)
Stationary martingale solution for the 2D stochastic Gross-Pitaevskii equation2203.14462v1 · Anne de Bouard, Arnaud Debussche, Reika Fukuizumi2022 · 0 citationsarXiv
Two dimensional Gross-Pitaevskii equation with space-time white noise2101.10106v2 · Anne de Bouard, Arnaud Debussche, Reika Fukuizumi2021 · 7 citationsarXiv
Push-forward method for piecewise deterministic biochemical simulations2009.06577v2 · Guilherme C.P. Innocentini, Arran Hodgkinson, Fernando Antoneli et al.2020 · 0 citationsTheoretical Computer Science Volume 893, 21 November 2021, Pages 17-40
A Piecewise Deterministic Limit for a Multiscale Stochastic Spatial Gene Network2007.04819v1 · Arnaud Debussche (MINGUS), Mac Jugal Nguepedja Nankep (IRMAR)2020 · 1 citationarXiv
Existence of martingale solutions for stochastic flocking models with local alignment2007.01512v1 · Arnaud Debussche (IRMAR), Angelo Rosello (IRMAR, MINGUS)2020 · 0 citationsarXiv
Diffusion-approximation for a kinetic spray-like system with random forcing2005.09374v1 · Arnaud Debussche (IRMAR), Angelo Rosello (IRMAR, MINGUS) et al.2020 · 5 citationsarXiv
Quasi-Invariance of Gaussian Measures Transported by the Cubic NLS with Third-Order Dispersion on 2002.04899v1 · Arnaud Debussche, Yoshio Tsutsumi2020 · 3 citationsarXiv
The Boltzmann equation with an external force on the torus: Incompressible Navier-Stokes-Fourier hydrodynamical limit1906.02960v2 · Marc Briant, Arnaud Debussche, Julien Vovelle2019 · 0 citationsPure Appl. Analysis 4 (2022) 597-628
A Law of Large Numbers in the Supremum Norm for a Multiscale Stochastic Spatial Gene Network.31095509 · Debussche, Arnaud, Nguepedja Nankep, Mac Jugal2020 · 3 citationsThe international journal of biostatistics. 2019;15(2)
A Law of Large Numbers in the Supremum Norm for a Multiscale Stochastic Spatial Gene Network1711.06010v1 · Arnaud Debussche (IPSO, IRMAR), Mac Jugal Nguepedja Nankep (IRMAR)2017 · 0 citationsarXiv
Long time behavior of Gross-Pitaevskii equation at positive temperature1708.01961v2 · Anne de Bouard, Arnaud Debussche, Reika Fukuizumi2017 · 8 citationsarXiv
Diffusion-approximation in stochastically forced kinetic equations1707.07874v5 · Arnaud Debussche (MINGUS), Julien Vovelle (UMPA-ENSL)2017 · 10 citationsTunisian Journal of Mathematics, Mathematical Science Publishers
Solution to the stochastic Schrödinger equation on the full space1707.06431v1 · Arnaud Debussche, Jorg Martin2017 · 22 citationsarXiv
Large deviations for the dynamic model1705.00541v1 · Sandra Cerrai, Arnaud Debussche2017 · 1 citationarXiv
Kolmogorov Equations and Weak Order Analysis for SPDES with Nonlinear Diffusion Coefficient1703.01095v2 · Charles-Edouard Br'ehier (ICJ, PSPM), Arnaud Debussche (IRMAR et al.2017 · 45 citationsarXiv
The Schrödinger equation with spatial white noise potential1612.02230v1 · Arnaud Debussche (IPSO, IRMAR), Hendrik Weber2016 · 29 citationsarXiv
Quasilinear generalized parabolic Anderson model equation1610.06726v2 · Ismael Bailleul, Arnaud Debussche, Martina Hofmanova2016 · 26 citationsarXiv
Large deviations for the two-dimensional stochastic Navier-Stokes equation with vanishing noise correlation1603.02527v1 · Sandra Cerrai, Arnaud Debussche2016 · 28 citationsarXiv
An integral inequality for the invariant measure of a stochastic reaction--diffusion equation1511.07133v1 · Giuseppe Da Prato, Arnaud Debussche2015 · 6 citationsarXiv
Existence of the Fomin derivative of the invariant measure of a stochastic reaction--diffusion equation1502.07490v1 · Giuseppe Da Prato, Arnaud Debussche2015 · 2 citationsarXiv
Estimate for for the stochastic Burgers equation1412.7426v1 · Giuseppe Da Prato, Arnaud Debussche2014 · 7 citationsarXiv
A regularity result for quasilinear stochastic partial differential equations of parabolic type1401.6369v2 · Arnaud Debussche, Sylvain De Moor, ENS Cachan Bretagne et al.2014 · 51 citationsarXiv
Invariant measure of scalar first-order conservation laws with stochastic forcing1310.3779v1 · Arnaud Debussche, Julien Vovelle (ICJ)2013 · 52 citationsarXiv
Degenerate parabolic stochastic partial differential equations: Quasilinear case1309.5817v2 · Arnaud Debussche, Martina Hofmanov'a, Julien Vovelle2013 · 90 citationsAnnals of Probability 2016, Vol. 44, No. 3, 1916-1955
Existence of densities for the 3D Navier-Stokes equations driven by Gaussian noise1203.0417v1 · Arnaud Debussche, Marco Romito2012 · 32 citationsarXiv
Weak backward error analysis for SDEs1105.0489v1 · Arnaud Debussche (IRMAR), Erwan Faou2011 · 64 citationsarXiv
Global Existence and Regularity for the 3D Stochastic Primitive Equations of the Ocean and Atmosphere with Multiplicative White Noise1104.4754v2 · Arnaud Debussche, Nathan Glatt-Holtz, Roger Temam et al.2011 · 74 citationsarXiv
Diffusion limit for a stochastic kinetic problem1103.2664v3 · A. Debussche, J. Vovelle2011 · 24 citationsarXiv
Convergence of stochastic gene networks to hybrid piecewise deterministic processes1101.1431v1 · Alina Crudu (IRMAR), Arnaud Debussche (IRMAR), Aur'elie Muller (IECN) et al.2011 · 106 citationsarXiv
Asymptotic first exit times of the Chafee-Infante equation with small heavy-tailed Lévy noise1101.1436v1 · Arnaud Debussche (IRMAR), Michael Hogele, Peter Imkeller2011 · 9 citationsarXiv
1D quintic nonlinear Schrödinger equation with white noise dispersion1010.4011v1 · Arnaud Debussche (IRMAR), Yoshio Tsutsumi2010 · 59 citationsarXiv
Local Martingale and Pathwise Solutions for an Abstract Fluids Model1007.2831v2 · Arnaud Debussche, Nathan Glatt-Holtz, Roger Temam2010 · 166 citationsarXiv
Career total: 213 works. 65 are in this corpus.Showing the 50 most recent.
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