21 citations · 21 across the 3 of their papers we have counts for
3 papers
math.AP2007
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…
math.AP2007★ 21 cited
Poincaré's inequality and diffusive evolution equations
Clayton Bjorland, Maria E. Schonbek
This paper addresses the question of change of decay rate from exponential to algebraic for diffusive evolution equations. We show how the behaviour of the spectrum of the Dirichle…
math.AP2007
Decay Asymptotics of the Viscous Camassa-Holm Equations in the Plane
Clayton Bjorland
We consider the vorticity formulation of the 2-D viscous Camassa-Holm equations in the whole space. We establish global existence for solutions corresponding to initial data in $L^…