Ergodicity for the navier-stokes equation with degenerate random forcing: Finite-dimensional approximation
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We study Galerkin truncations of the two-dimensional Navier-Stokes equation under degenerate, large-scale, stochastic forcing. We identify the minimal set of modes that has to be forced in order for the system to be ergodic. Our results rely heavily on the structure of the nonlinearity. © 2001 John Wiley & Sons, Inc.
Published Version (Please cite this version)10.1002/cpa.10007
Publication InfoWeinan, E; & Mattingly, Jonathan Christopher (2001). Ergodicity for the navier-stokes equation with degenerate random forcing: Finite-dimensional approximation. Communications on Pure and Applied Mathematics, 54(11). pp. 1386-1402. 10.1002/cpa.10007. Retrieved from http://hdl.handle.net/10161/12938.
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Professor of Mathematics
Jonathan Christopher Mattingly grew up in Charlotte, NC where he attended Irwin Ave elementary and Charlotte Country Day. He graduated from the NC School of Science and Mathematics and received a BS is Applied Mathematics with a concentration in physics from Yale University. After two years abroad with a year spent at ENS Lyon studying nonlinear and statistical physics on a Rotary Fellowship, he returned to the US to attend Princeton University where he obtained a PhD in Applied and