276 citations · 4.5k across the 293 of their papers we have counts for
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Quantitative bounds for critically bounded solutions to the Navier-Stokes equations
Terence Tao
We revisit the regularity theory of Escauriaza, Seregin, and Šverák for solutions to the three-dimensional Navier-Stokes equations which are uniformly bounded in the critical $L^3_…
On the universality of the incompressible Euler equation on compact manifolds, II. Non-rigidity of Euler flows
Terence Tao
The incompressible Euler equations on a compact Riemannian manifold take the form \begin{align*} \partial_t u + \nabla_u u &= - \mathrm{grad}_g p \\ \mathrm{div}_g u &= 0,…
Embedding the Heisenberg group into a bounded dimensional Euclidean space with optimal distortion
Terence Tao
Let denote the Heisenberg group with the usual Carnot-Carathéodory metric .…
Zero-viscosity limit of the Navier-Stokes equations with the Navier friction boundary condition
T. Tao, W. Wang, Z. Zhang
In this paper, we consider the zero-viscosity limit of the Navier-Stokes equations in a half space with the Navier friction boundary condition $$ (βu^{\varepsilon}-\varepsilon^γ\pa…
On the universality of the incompressible Euler equation on compact manifolds
Terence Tao
The incompressible Euler equations on a compact Riemannian manifold take the form \begin{align*} \partial_t u + \nabla_u u &= - \mathrm{grad}_g p \mathrm{div}_g u &= 0. \en…
On the universality of potential well dynamics
Terence Tao
Given a smooth potential function , one can consider the ODE describing the trajectory of a particle $t \mapsto u…