Current Appointments & Affiliations
Phillip Griffiths Assistant Research Professor
·
2022 - Present
Mathematics,
Trinity College of Arts & Sciences
Assistant Research Professor of Mathematics
·
2022 - Present
Mathematics,
Trinity College of Arts & Sciences
Recent Publications
Norm Growth, Non-uniqueness, and Anomalous Dissipation in Passive Scalars
Journal Article Archive for Rational Mechanics and Analysis · December 1, 2024 We construct a divergence-free velocity field u:[0,T]×T2→R2 satisfying (Formula presented.) such that the corresponding drift-diffusion equation exhibits anomalous dissipation for all smooth initial data. We also show that, given any α0<1, the flow can be ... Full text CiteStationary measures for stochastic differential equations with degenerate damping
Journal Article Probability Theory and Related Fields · June 1, 2024 A variety of physical phenomena involve the nonlinear transfer of energy from weakly damped modes subjected to external forcing to other modes which are more heavily damped. In this work we explore this in (finite-dimensional) stochastic differential equat ... Full text CiteQUANTITATIVE SPECTRAL GAPS FOR HYPOELLIPTIC STOCHASTIC DIFFERENTIAL EQUATIONS WITH SMALL NOISE
Journal Article Probability and Mathematical Physics · January 1, 2021 We study the convergence rate to equilibrium for a family of Markov semigroups {Pɛt}ɛ>0 generated by a class of hypoelliptic stochastic differential equations on Rd, including Galerkin truncations of the incompressible Navier–Stokes equations, Lorenz-96, a ... Full text CiteEducation, Training & Certifications
University of Maryland, College Park ·
2021
Ph.D.