Ryan Hynd

activity

20112016

collaborators

3 papers

math.AP2016

Approximation of the least Rayleigh quotient for degree $p$ homogeneous functionals

Ryan Hynd, Erik Lindgren

We present two novel methods for approximating minimizers of the abstract Rayleigh quotient $Φ (u) /∥ u ∥^{p}$ . Here $Φ$ is a strictly convex functional on a Banach space with norm $\…

math.AP2015

Inverse iteration for $p$ -ground states

Ryan Hynd, Erik Lindgren

We adapt the inverse iteration method for symmetric matrices to some nonlinear PDE eigenvalue problems. In particular, for $p \in (1, \infty)$ and a given domain $Ω\subset\mathbb{R}^…

math.AP2011

Partial regularity of weak solutions of the viscoelastic Navier-Stokes equations with damping

Ryan Hynd

We prove an analog of the Caffarelli-Kohn-Nirenberg theorem for weak solutions of a system of PDE that model a viscoelastic fluid in the presence of an energy damping mechanism. Th…

Approximation of the least Rayleigh quotient for degree p homogeneous functionals

Inverse iteration for p-ground states

Partial regularity of weak solutions of the viscoelastic Navier-Stokes equations with damping

Approximation of the least Rayleigh quotient for degree $p$ homogeneous functionals

Inverse iteration for $p$ -ground states