Sensitivity Analysis for the 2D Navier–Stokes Equations with Applications to Continuous Data Assimilation

Nonstationary flows of viscous and ideal fluids in R3

Tosio Kato · Journal of Functional Analysis · 1972 · 591 citations

Natural Sciences, Physics, Dynamical Systems +11

Global lyapunov exponents, kaplan‐yorke formulas and the dimension of the attractors for 2D navier‐stokes equations

Peter Constantin, Ciprian Foiaş · Communications on Pure and Applied Mathematics · 1985 · 227 citations · Full text

Natural Sciences, Mathematics, Physics +14

Remarks about the Inviscid Limit of the Navier–Stokes System

Nader Masmoudi · Communications in Mathematical Physics · 2006 · 210 citations

Natural Sciences, Mechanical Engineering, Physics +14

A PDE Sensitivity Equation Method for Optimal Aerodynamic Design

Jeff Borggaard, John A. Burns · Journal of Computational Physics · 1997 · 185 citations · Full text

Engineering, Aerospace Engineering, Mechanical Engineering +14

Continuous data assimilation using general interpolant observables

eScholarship (California Digital Library) · 2014 · 184 citations

Natural Sciences, Meteorology, Forecasting +6