4 papers
Time asymptotics, time regularity and separation rates for Navier-Stokes flows in supercritical solution classes
Zachary Bradshaw, Joshua Hudson
This paper extends the weak solution theory for the 3D Navier-Stokes equations of Barker, Seregin and Sverak from a critical setting to a supercritical setting making sure to inclu…
Regularity, uniqueness and the relative size of small and large scales in SQG flows
Zachary Akridge, Zachary Bradshaw
The problem of regularity and uniqueness are open for the supercritically dissipative surface quasi-geostrophic equations in certain classes. In this note we examine the extent to…
Asymptotic properties of discretely self-similar Navier-Stokes solutions with rough data
Zachary Bradshaw, Patrick Phelps
In this paper we explore the extent to which discretely self-similar (DSS) solutions to the 3D Navier-Stokes equations with rough data almost have the same asymptotics as DSS flows…
Asymptotic stability for the 3D Navier-Stokes equations in and nearby spaces
Zachary Bradshaw, Weinan Wang
We provide a short proof of -asymptotic stability around vector fields that are small in weak-, including small Landau solutions. We show that asymptotic stability also h…