论文信息 - Stochastic burgers equation with correlated noise

Stochastic burgers equation with correlated noise

We consider a Burgers equation perturbed by a multiplicative white noise. We prove the existence and uniqueness of the global solution as well as the strong Feller property and irreducibility for the corresponding transition semigroup. We close the paper by proving existence and uniqueness of an invariant measure

Dariusz Gatarek | Giuseppe Da Prato | G. Prato | D. Gatarek

[1] K. Elworthy. Stochastic Flows on Riemannian Manifolds , 1992 .

[2] B. Goldys,et al. On weak solutions of stochastic equations in Hilbert spaces , 1994 .

[3] D. Jeng. Forced Model Equation for Turbulence , 1969 .

[4] R. Temam,et al. Feedback control for unsteady flow and its application to the stochastic Burgers equation , 1993, Journal of Fluid Mechanics.

[5] Franco Flandoli,et al. Dissipativity and invariant measures for stochastic Navier-Stokes equations , 1994 .

[6] J. Zabczyk,et al. Strong feller property for stochastic semilinear equations , 1995 .

[7] K. Yamamoto,et al. Turbulence in the randomly forced, one-dimensional Burgers flow , 1975 .

[8] J. B. Walsh,et al. An introduction to stochastic partial differential equations , 1986 .

[9] Roger Temam,et al. Stochastic Burgers' equation , 1994 .

[10] N. Cancrini,et al. The stochastic Burgers Equation , 1994 .

[11] D. Gatarek. A note on nonlinear stochastic equations in Hilbert spaces , 1993 .

[12] Jerzy Zabczyk,et al. Strong Feller Property and Irreducibility for Diffusions on Hilbert Spaces , 1995 .

[13] D. Chambers,et al. Karhunen-Loeve expansion of Burgers' model of turbulence , 1988 .