6 citations · 6 across the 4 of their papers we have counts for
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The structure of weak solutions to the Navier-Stokes equations
Zachary Bradshaw, Igor Kukavica
The existence of superfluous solutions to the Navier-Stokes equations in the whole space implies that not all solutions with uniformly locally bounded energy satisfy a useful local…
Global Navier-Stokes flows in intermediate spaces
Zachary Bradshaw, Misha Chernobai, Tai-Peng Tsai
We construct global weak solutions of the three dimensional incompressible Navier-Stokes equations in intermediate spaces between the space of uniformly locally square integrable f…
Local energy solutions to the Navier-Stokes equations in Wiener amalgam spaces
Zachary Bradshaw, Tai-Peng Tsai
We establish existence of solutions in a scale of classes weaker than the finite energy Leray class and stronger than the infinite energy Lemarié-Rieusset class. The new classes ar…
On the local pressure expansion for the Navier-Stokes equations
Zachary Bradshaw, Tai-Peng Tsai
We show that the pressure associated with a distributional solution of the Navier-Stokes equations on the whole space satisfies a local expansion defined as a distribution if and o…
Existence of global weak solutions to the Navier-Stokes equations in weighted spaces
Zachary Bradshaw, Igor Kukavica, Tai-Peng Tsai
We obtain a global existence result for the three-dimensional Navier-Stokes equations with a large class of data allowing growth at spatial infinity. Namely, we show the global exi…
Global existence, regularity, and uniqueness of infinite energy solutions to the Navier-Stokes equations
Zachary Bradshaw, Tai-Peng Tsai
This paper addresses several problems associated to local energy solutions (in the sense of Lemarié-Rieusset) to the Navier-Stokes equations with initial data which is sufficiently…