Author:
Duan Yubo,Jiang Yiming,Tian Yang,Wei Yawei
Abstract
by fractional noise. Existence and uniqueness of a mild solution is given bya fixed point argument. Then, we explore Holder regularity of the mildsolution in \(C([0,T_{*}];L^p(\Omega;\dot{H}^{\gamma}))\) for some stoppingtime \(T_{*}\).
Reference31 articles.
1. S. Albeverio, F. Flandoli, Y. G. Sinai; SPDE in hydrodynamic: recent progress and prospects, Lecture Notes in Mathematics. 1942. Springer-Verlag C.I.M.E. florence, 2008.
2. L. Bertini, N. Cancrini, G. Jina-Lasinio; The stochastic Burgers equation, Communications in Mathematical Physics, 165 (1994), no. 2, 211-232.
3. J. P. Bouchaud, M. M ́ezard; Velocity fluctuations in forced Burgers turbulence, Physical Review E, 54 (1996), no. 5, 5116-5121.
4. Z. Brze ́zniak, L. Debbi, B. Goldys; Ergodic properties of fractional stochastic Burgers euqations, Mathematics, 1, no. 2. 2011
5. J. Burgers; Mathematical examples illustrating relations occurring in the theory of turbulent fluid motion, 1939