Books
Books
Goodair, D. and Crisan, D., 2024. Stochastic Calculus in Infinite Dimensions and SPDEs. Springer Nature.
Goodair, D., 2024. Navier-Stokes Equations with Stochastic Lie Transport: Well-Posedness and Inviscid Limit. Imperial College London.
Goodair, D., 2026. High order smoothness for stochastic Navier-Stokes equations with transport and stretching noise on bounded domains. Nonlinear Analysis, 267, 114054.
Goodair, D. and Crisan, D., 2025. The Zero Viscosity Limit of Stochastic Navier-Stokes Flows. Stochastic Processes and their Applications, 189, 104717.
Goodair, D., 2025. Navier-Stokes Equations with Navier Boundary Conditions and Stochastic Lie Transport: Well-Posedness and Inviscid Limit. Journal of Differential Equations, 429(1).
Goodair, D., 2024. Weak and Strong Solutions to Nonlinear SPDEs with Unbounded Noise. Nonlinear Differential Equations and Applications NoDEA, 31(6), 106.
Goodair, D., Crisan, D. and Lang, O., 2023. Existence and uniqueness of maximal solutions to SPDEs with applications to viscous fluid equations. Stochastics and Partial Differential Equations: Analysis and Computations, 12(2), pp.1201-1264.
Goodair, D., 2024. Improved Blow-Up Criterion in a Variational Framework for Nonlinear SPDEs. Stochastic Transport in Upper Ocean Dynamics IV (to appear).
Goodair, D., 2024. General Solution Theory for the Stochastic Navier-Stokes Equations. Stochastic Transport in Upper Ocean Dynamics III.
Goodair, D. and Crisan, D., 2023. On the 3D Navier-Stokes Equations with Stochastic Lie Transport. Stochastic Transport in Upper Ocean Dynamics II.
Goodair, D., 2022. Existence and Uniqueness of Maximal Solutions to a 3D Navier-Stokes Equation with Stochastic Lie Transport. Stochastic Transport in Upper Ocean Dynamics.
Goodair, D., 2025. Itô-Stratonovich Conversion in Infinite Dimensions for Unbounded, Time-Dependent, Nonlinear Operators. arXiv preprint arxiv:2508.03424.
Goodair, D., 2025. Closed Estimates of Leray Projected Transport Noise and Strong Solutions of the Stochastic Euler Equations. arXiv preprint arXiv:2507.00787.
Goodair, D., 2025. Infinite Boundary Friction Limit for Weak Solutions of the Stochastic Navier-Stokes Equations. arXiv preprint arXiv:2504.06238.