Long Programs

Mathematical Analysis of Turbulence: III

On Gevrey regularity of equations in fluid mechanics

Publicly available turbulence DNS data base

Polynomial sum of squares in fluid dynamics; for global stability, bounds for time averages, and nonlinear control

Optimal vortex states and singularity formation in incompressible flows

The higher-order gradient model for large-eddy simulation of turbulent flows

Transitional turbulence in shear flows

Regimes of nonlinear depletion and regularity in the 3D Navier-Stokes equations

Regularizing Effect of the Forward Energy Cascade in the Inviscid Dyadic Model

Leray scaling in Navier-Stokes reconnection

Data Assimilation

Determining Forms

Truncated models of optimal heat transport

Spontaneous Stochasticity and Anomalous Dissipation in Burgers Equation

Fundamental performance limitations for NS systems

What can Lie symmetry groups teach us on statistical turbulence theory?

Exploring Well-Posedness for Gibbon-Fokas-Doering (GFD) solutions of the Incompressible Navier-Stokes System

Mixing in 2D Richtmyer-Meshkov instability in high Reynolds number regime

Time Discrete Approximation of Weak Solutions for Stochastic Equations of Geophysical Fluid Dynamics and Applications

Laminar-turbulent coexistence in transitional shear flows

Tutorials on Symmetry

Toward a Rigorous Derivation of Kinetic Wave Turbulence

DNS of turbulent flow in straight and bent pipes

Dual constant flux energy cascades to large scales and to small scales in rotating stratified turbulence

Local Approximations of the Pressure Hessian near Vorticity Concentrations in Incompressible Flows

Self-organization of planetary turbulence. What can we learn by studying the statistical state dynamics

Emergence of large-scale structure in planetary turbulence as an instability of the homogeneous turbulent state

Boundary layers in the presence of characteristic points

Hybrid (Variational / Kalman) ensemble methods for state estimation in NS Systems

The Dissipation of Turbulence in the Earth's Magnetotail

Ensemble dynamics and "bred vectors"

On the regularity of spatial convolution kernels for linear feedback control & estimation of perturbations to nearly-parallel flows

Simulation of Active Fluids on Vesicle Membranes

Quasi-Geostrophic Approximation of Anelastic Convection in Spherical Fluid Shells

Self-similarity in the inertial region of wall turbulence

Cautionary tales about convergence to optimal flow

Understanding turbulence through sequences of bifurcations

Structure identification using DMD

Hierarchical parcel-swapping (HiPS) representation of turbulent flow and mixing

Coordinated in-situ observation of developing hurricanes using atmospheric balloons -- a Model Predictive Control approach

Low-storage implicit/explicit Runge-Kutta schemes for the simulation of turbulent flows

Uncertainty Quantification of an ergodic process, and its application in Simulated-Based Optimization problems

Applying Statistical State Dynamics to Understand Turbulence at Large Scale in Planetary Atmospheres

Too much of a good thing? Destabilisation and mixing induced by stratification in shear flows

Laboratory-numerical investigation of Rayleigh-Benard convection and magnetoconvection in liquid gallium

Synchronization by Determining Forms with Data Assimilation by Feedback Control: A computational study on the Lorenz, KSE, and 2D NSE

Particle merger and splitting

Is optimization healthy during life before birth?: Understanding placental network structure and function