19 citations · 28 across the 4 of their papers we have counts for
4 papers
Soliton dynamics for the Korteweg-de Vries equation with multiplicative homogeneous noise
Anne De Bouard, Arnaud Debussche
We consider a randomly perturbed Korteweg-de Vries equation. The perturbation is a random potential depending both on space and time, with a white noise behavior in time, and a reg…
On the martingale probem associated to the 2D and 3D Stochastic Navier-Stokes equations
Giuseppe Da Prato, Arnaud Debussche
We consider the martingale problem associated to the Navier-Stokes in dimension 2 or 3. Existence is well known and it has been recently shown that markovian transition semi group…
Small noise asymptotic of the timing jitter in soliton transmission
Arnaud Debussche, Eric Gautier
This submission has been withdrawn because it is a duplicate of [math.PR/0609434].
Small noise asymptotic of the timing jitter in soliton transmission
Arnaud Debussche, Eric Gautier
We consider the problem of the error in soliton transmission in long-haul optical fibers caused by the spontaneous emission of noise inherent to amplification. We study two types o…