We consider the motion of an incompressible viscous fluid,subject to the influence of gravity and surface tension forces,in a moving domain Ω(t)-{x∈R3丨-b
The ensemble Kalman filter(EnKF)and ensemble square root filter(ESRF)are prominent data assimilation methods used to combine high dimensional,nonlinear dyna
First,we shall present an astrophysical fluid model by coupling the gravitational field equations with the laws of fluid dynamics and heat conductivity.
For linear inviscid transport equations,we analyze a class of invariant measures obtained as limits of invariant measures for stochastic viscous drift diffu
We discuss two parameter limit problems in stochastic systems arising in fluids.Here the unifying theme is the use of contraction properties for the Markovi
Statistical uncertainty quantification(UQ)to the response to the change in forcing or uncertain initial data in complex turbulent systems requires the use o