9 papers
A counterexample to the smoothness of the solution to an equation arising in fluid mechanics
Stephen Montgomery-Smith, Milan Pokorny
We analyze the equation coming from the Eulerian-Lagrangian description of fluids. We discuss a couple of ways to extend this notion to viscous fluids. The main focus of this paper…
Decomposition of analytic measures on groups and measure spaces
Nakhle Asmar, Stephen Montgomery-Smith
This paper provides a new approach to proving generalizations of the F.&M. Riesz Theorem, for example, the result of Helson and Lowdenslager, the result of Forelli (and de Leeuw an…
Finite time blow up for a Navier-Stokes like equation
Stephen Montgomery-Smith
We consider an equation similar to the Navier-Stokes equation. We show that there is initial data that exists in every Triebel-Lizorkin or Besov space (and hence in every Lebesgue…
Measuring the magnitude of sums of independent random variables
Pawel Hitczenko, Stephen Montgomery-Smith
This paper considers how to measure the magnitude of the sum of independent random variables in several ways. We give a formula for the tail distribution for sequences that satisfy…
A comparison inequality for sums of independent random variables
Stephen Montgomery-Smith, Alexander R. Pruss
We give a comparison inequality that allows one to estimate the tail probabilities of sums of independent Banach space valued random variables in terms of those of independent iden…
Global regularity of the Navier-Stokes equation on thin three dimensional domains with periodic boundary conditions
Stephen J. Montgomery-Smith
This paper gives another version of results due to Raugel and Sell, and similar results due to Moise, Temam and Ziane, that state the following: the solution of the Navier-Stokes e…