I’ve just uploaded to the arXiv my paper Finite time blowup for high dimensional nonlinear wave systems with bounded smooth nonlinearity, submitted to Comm. PDE… 1,408 more words

## Tags » Math.AP

#### Finite time blowup for a supercritical defocusing nonlinear wave system

I’ve just uploaded to the arXiv my paper Finite time blowup for a supercritical defocusing nonlinear wave system, submitted to Analysis and PDE. This paper was inspired by a question asked of me by Sergiu Klainerman recently, regarding whether there were any analogues of… 1,774 more words

#### Finite time blowup for an Euler-type equation in vorticity stream form

I’ve been meaning to return to fluids for some time now, in order to build upon my construction two years ago of a solution to an averaged Navier-Stokes equation that exhibited finite time blowup. 1,188 more words

#### A wave equation approach to automorphic forms in analytic number theory

The Poincaré upper half-plane (with a boundary consisting of the real line together with the point at infinity ) carries an action of the projective special linear group… 4,708 more words