13 citations · 13 across the 4 of their papers we have counts for
4 papers
Remarks on the Complex Euler Equations
Dallas Albritton, W. Jacob Ogden
We consider a complexification of the Euler equations introduced by Šverák which conserves energy. We prove that these complex Euler equations are nonlinearly ill-posed below analy…
Sharp bounds on enstrophy growth for viscous scalar conservation laws
Dallas Albritton, Nicola De Nitti
We prove sharp bounds on the enstrophy growth in viscous scalar conservation laws. The upper bound is, up to a prefactor, the enstrophy created by the steepest viscous shock admiss…
Localized smoothing and concentration for the Navier-Stokes equations in the half space
Dallas Albritton, Tobias Barker, Christophe Prange
We establish a local-in-space short-time smoothing effect for the Navier-Stokes equations in the half space. The whole space analogue, due to Jia and Šverák [JŠ14], is a central to…
Non-uniqueness of Leray solutions of the forced Navier-Stokes equations
Dallas Albritton, Elia Brué, Maria Colombo
In the seminal work [39], Leray demonstrated the existence of global weak solutions to the Navier-Stokes equations in three dimensions. We exhibit two distinct Leray solutions with…