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math.AP2009★ 32 cited
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…
math.AP2009★ 15 cited
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) &=…
math.AP2005★ 14 cited
Stability of energy-critical nonlinear Schrödinger equations in high dimensions
Terence Tao, Monica Visan
We develop the existence, uniqueness, continuity, stability, and scattering theory for energy-critical nonlinear Schrödinger equations in dimensions , for solutions which…