Two-Dimensional Navier--Stokes Equations Driven by a Space--Time White Noise
By Giuseppe Da Prato, Arnaud Debussche. 2002
231 citations recorded by the source corpus.
Subfields: Applied Mathematics, Control and Systems Engineering, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/4ad9aa6ee9ef486465d15a2591e06e41f38ebf49
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Tadahiro Oh
- Nikolay Tzvetkov
- Massimiliano Gubinelli
- Nicolas Burq
- Herbert Koch
- Laurent Thomann
- Arnaud Debussche
- Giuseppe Da Prato
In Control and Systems Engineering
- Tadahiro Oh
- Nikolay Tzvetkov
- Nicolas Burq
- Giuseppe Da Prato
- Arnaud Debussche
- Laurent Thomann
- Massimiliano Gubinelli
- Zdzisław Brzeźniak
In Mathematical Physics
- Tadahiro Oh
- Nikolay Tzvetkov
- Nicolas Burq
- Herbert Koch
- Laurent Thomann
- Massimiliano Gubinelli
- Arnaud Debussche
- Giuseppe Da Prato
Citations in the corpus
- Paracontrolled approach to the three-dimensional stochastic nonlinear wave equation with quadratic nonlinearity (2018, background): “5) is usually referred to as the Da Prato–Debussche trick [22, 23].”
- Remarks on the Gibbs measures for nonlinear dispersive equations (2014, methodology): “— The authors want to thank Arnaud Debussche for pointing out the reference [24].”
- Strong solutions to the stochastic quantization equations (2003, methodology): “Let us explain our method, which is similar to what we used in [6] for the twodimensional Navier–Stokes equations.”
- Ergodicity Results for the Stochastic Navier–Stokes Equations: An Introduction (2013, background): “Existence and uniqueness have been studied in various articles (se for instance [1], [3], [4], [5], [9], [10], [11], [13], [15], [21], [30], [32], [51], [53], [54], [68], [69]) and this part of the theory is well understood.”
- Asymptotic compactness and absorbing sets for 2D stochastic Navier-Stokes equations on some unbounded domains (2006, background): “The existence of solutions (but not pathwise) in certain negative order Sobolev spaces is a subject of a very interesting paper by Da Prato and Debusche [19], where however only the case of D being a torus is studied (which is an essential assumption).”