Louisiana State University LSU Digital Commons LSU Doctoral Dissertations Graduate School 2013 Large deviations for stochastic Navier-Stokes equations with nonlinear viscosities Ming Tao Louisiana State University and Agricultural and Mechanical College,
[email protected] Follow this and additional works at: https://digitalcommons.lsu.edu/gradschool_dissertations Part of the Applied Mathematics Commons Recommended Citation Tao, Ming, "Large deviations for stochastic Navier-Stokes equations with nonlinear viscosities" (2013). LSU Doctoral Dissertations. 1558. https://digitalcommons.lsu.edu/gradschool_dissertations/1558 This Dissertation is brought to you for free and open access by the Graduate School at LSU Digital Commons. It has been accepted for inclusion in LSU Doctoral Dissertations by an authorized graduate school editor of LSU Digital Commons. For more information, please
[email protected]. LARGE DEVIATIONS FOR STOCHASTIC NAVIER-STOKES EQUATIONS WITH NONLINEAR VISCOSITIES A Dissertation Submitted to the Graduate Faculty of the Louisiana State University and Agricultural and Mechanical College in partial fulfillment of the requirements for the degree of Doctor of Philosophy in The Department of Mathematics by Ming Tao B.S. in Math. USTC, 2004 M.S. in Math. USTC, 2007 May 2013 Acknowledgements This dissertation would not be possible without several contributions. First of all, I am extremely grateful to my advisor, Professor Sundar, for his constant encouragement and guidance throughout this work. Meanwhile, I really wish to express my sincere thanks to all the committee members, Professors Kuo, Richardson, Sage, Stoltzfus and the Dean's representa- tive Professor Koppelman, for their help and suggestions on the corrections of this dissertaion. I also take this opportunity to thank the Mathematics department of Louisiana State University for providing me with a pleasant working environment and all the necessary facilities.