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20122025
most citedDiscretely self-similar solutions to the Navier-Stokes equations with data in satisfying the local energy inequality

14 citations · 38 across the 12 of their papers we have counts for

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Showing 2019Show all

2 papers · 1 filter

math.AP2019★ 6 cited

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…

math.AP2019

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…