591 citations
- D. Schaile9 profiles92 · h 87
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7 papers · 1 filter
Analyticity estimates for the Navier-Stokes equations
Ira Herbst, Erik Skibsted
We study spatial analyticity properties of solutions of the Navier-Stokes equations and obtain new growth rate estimates for the analyticity radius. We also study stability propert…
On the Smooth Feshbach-Schur Map
M. Griesemer, D. Hasler
A new variant of the Feshbach map, called smooth Feshbach map, has been introduced recently by Bach et al., in connection with the renormalization analysis of non-relativistic quan…
Absence of Ground States for a Class of Translation Invariant Models of Non-relativistic QED
David Hasler, Ira Herbst
We consider a class of translation invariant models of non-relativistic QED with net charge. Under certain natural assumptions we prove that ground states do not exist in the Fock…
Dimensional Reduction for Directed Branched Polymers
John Z. Imbrie
Dimensional reduction occurs when the critical behavior of one system can be related to that of another system in a lower dimension. We show that this occurs for directed branched…
Low regularity solutions to a gently stochastic nonlinear wave equation in nonequilibrium statistical mechanics
Luc Rey-Bellet, Lawrence E. Thomas
We consider a system of stochastic partial differential equations modeling heat conduction in a non-linear medium. We show global existence of solutions for the system in Sobolev s…
Dimensional Reduction and Crossover to Mean-Field Behavior for Branched Polymers
John Z. Imbrie
This article will review recent results on dimensional reduction for branched polymers, and discuss implications for critical phenomena. Parisi and Sourlas argued in 1981 that bran…