276 citations · 4.5k across the 293 of their papers we have counts for
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Global well-posedness of the Maxwell-Klein-Gordon equation below the energy norm
Markus Keel, Tristan Roy, Terence Tao
We show that the Maxwell-Klein-Gordon equations in three dimensions are globally well-posed in in the Coulomb gauge for all . This extends pre…
Global regularity of wave maps VII. Control of delocalised or dispersed solutions
Terence Tao
This is the final paper in the series \cite{tao:heatwave}, \cite{tao:heatwave2}, \cite{tao:heatwave3}, \cite{tao:heatwave4} that establishes global regularity for two-dimensional w…
Global regularity for a logarithmically supercritical hyperdissipative Navier-Stokes equation
Terence Tao
Let . We consider the global Cauchy problem for the generalised Navier-Stokes system \partial_t u + (u \cdot \nabla) u &= - D^2 u - \nabla p \nabla \cdot u &= 0 u(0,x) &=…
Operator splitting for the KdV equation
Helge Holden, Kenneth H. Karlsen, Nils Henrik Risebro +1
We provide a new analytical approach to operator splitting for equations of the type where is a linear operator and is quadratic. A particular example is the…
Global regularity of wave maps VI. Abstract theory of minimal-energy blowup solutions
Terence Tao
In the previous papers in this series, the global regularity conjecture for wave maps from two-dimensional Minkowski space to hyperbolic space $\H^m$ was reduced to the…
An inverse theorem for the bilinear Strichartz estimate for the wave equation
Terence Tao
A standard bilinear Strichartz estimate for the wave equation, which underlies the theory of spaces of Bourgain and Klainerman-Machedon, asserts (roughly speaking)…