21 citations · 61 across the 9 of their papers we have counts for
9 papers
On the Decay of Infinite Energy Solutions to the Navier-Stokes Equations in the Plane
Clayton Bjorland, Cesar J. Niche
Infinite energy solutions to the Navier-Stokes equations in may be constructed by decomposing the initial data into a finite energy piece and an infinite energy piec…
Non-Local Tug-of-War and the Infinity Fractional Laplacian
Clayton Bjorland, Luis Caffarelli, Alessio Figalli
Motivated by the "tug-of-war" game studied in [12], we consider a "non-local" version of the game which goes as follows: at every step two players pick respectively a direction and…
The Vortex-Wave equation with a single vortex as the limit of the Euler equation
Clayton Bjorland
In this article we consider the physical justification of the Vortex-Wave equation introduced by Marchioro and Pulvirenti in the case of a single point vortex moving in an ambient…
Weak in Space, Log in Time Improvement of the Lady{ž}enskaja-Prodi-Serrin Criteria
Clayton Bjorland, Alexis Vasseur
In this article we present a Lady{ž}enskaja-Prodi-Serrin Criteria for regularity of solutions for the Navier-Stokes equation in three dimensions which incorporates weak norms…
L^p solutions of the steady-state Navier-Stokes equations with rough external forces
Clayton Bjorland, Lorenzo Brandolese, Dragos Iftimie +1
In this paper we address the existence, the asymptotic behavior and stability in and , 3/2.
Existence and Stability of Steady-State Solutions with Finite Energy for the Navier-Stokes equation in the Whole Space
Clayton Bjorland, Maria E. Schonbek
We consider the steady-state Navier-Stokes equation in the whole space driven by a forcing function . The class of source functions under consideration yield…