Large deviation principle and inviscid shell models Export

@article{citeulike:4509368, abstract = {A LDP is proved for the inviscid shell model of turbulence. As the viscosity coefficient converges to 0 and the noise intensity is multiplied by the square root of the viscosity, we prove that some shell models of turbulence with a multiplicative stochastic perturbation driven by a H-valued Brownian motion satisfy a LDP in C([0,T],V) for the topology of uniform convergence on [0,T], but where V is endowed with a topology weaker than the natural one. The initial condition has to belong to V and the proof is based on the weak convergence of a family of stochastic control equations. The rate function is described in terms of the solution to the inviscid equation.}, archivePrefix = {arXiv}, author = {Bessaih, Hakima and Millet, Annie}, citeulike-article-id = {4509368}, citeulike-linkout-0 = {http://arxiv.org/abs/0905.1854}, citeulike-linkout-1 = {http://arxiv.org/pdf/0905.1854}, day = {12}, eprint = {0905.1854}, keywords = {large-deviation, shell-model, turbulence}, month = {May}, posted-at = {2009-05-13 07:49:25}, priority = {2}, title = {Large deviation principle and inviscid shell models}, url = {http://arxiv.org/abs/0905.1854}, year = {2009} }

TY - JOUR ID - citeulike:4509368 L3 - citeulike-article-id:4509368 N2 - A LDP is proved for the inviscid shell model of turbulence. As the viscosity coefficient converges to 0 and the noise intensity is multiplied by the square root of the viscosity, we prove that some shell models of turbulence with a multiplicative stochastic perturbation driven by a H-valued Brownian motion satisfy a LDP in C([0,T],V) for the topology of uniform convergence on [0,T], but where V is endowed with a topology weaker than the natural one. The initial condition has to belong to V and the proof is based on the weak convergence of a family of stochastic control equations. The rate function is described in terms of the solution to the inviscid equation. TI - Large deviation principle and inviscid shell models KW - large-deviation KW - shell-model KW - turbulence AU - Bessaih, Hakima AU - Millet, Annie PY - 2009/May/12/ UR - http://arxiv.org/abs/0905.1854 ER -