Zobrazeno 1 - 10
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pro vyhledávání: '"Blömker, D."'
The 3DVAR filter is prototypical of methods used to combine observed data with a dynamical system, online, in order to improve estimation of the state of the system. Such methods are used for high dimensional data assimilation problems, such as those
Externí odkaz:
http://arxiv.org/abs/1210.1594
In this article we derive rigorously amplitude equations for stochastic PDEs with quadratic nonlinearities, under the assumption that the noise acts only on the stable modes and for an appropriate scaling between the distance from bifurcation and the
Externí odkaz:
http://arxiv.org/abs/math/0611537
The paper analyses a model in surface growth, where uniqueness of weak solutions seems to be out of reach. We provide the existence of a weak martingale solution satisfying energy inequalities and having the Markov property. Furthermore, under non-de
Externí odkaz:
http://arxiv.org/abs/math/0611021
The solutions to a large class of semi-linear parabolic PDEs are given in terms of expectations of suitable functionals of a tree of branching particles. A sufficient, and in some cases necessary, condition is given for the integrability of the stoch
Externí odkaz:
http://arxiv.org/abs/math/0505449
We consider the stochastic Swift-Hohenberg equation on a large domain near its change of stability. We show that, under the appropriate scaling, its solutions can be approximated by a periodic wave, which is modulated by the solutions to a stochastic
Externí odkaz:
http://arxiv.org/abs/math-ph/0408016
Enstrophy is an averaged measure of fluid vorticity. This quantity is particularly important in {\em rotating} geophysical flows. We investigate the dynamical evolution of enstrophy for large-scale quasi-geostrophic flows under random wind forcing. W
Externí odkaz:
http://arxiv.org/abs/math/0108086
Akademický článek
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Publikováno v:
In Annales de l'Institut Henri Poincare / Probabilites et statistiques 2007 43(2):175-192
Akademický článek
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Autor:
Blömker, D.1 bloemker@instmath.rwth-aachen.de, Hairer, M.2 hairer@maths.warwick.ac.uk, Pavliotis, G. A. g.pavliotis@imperial.ac.uk
Publikováno v:
Communications in Mathematical Physics. Sep2005, Vol. 258 Issue 2, p479-512. 34p.