78 citations · 439 across the 27 of their papers we have counts for
5 papers · 1 filter
Stability and Unconditional Uniqueness of Solutions for Energy Critical Wave Equations in High Dimensions
Aynur Bulut, Magdalena Czubak, Dong Li +2
In this paper we establish a complete local theory for the energy-critical nonlinear wave equation (NLW) in high dimensions with . We p…
A new proof of existence of solutions for focusing and defocusing Gross-Pitaevskii hierarchies
Thomas Chen, Nataša Pavlović
We consider the cubic and quintic Gross-Pitaevskii (GP) hierarchies in dimensions, for focusing and defocusing interactions. We present a new proof of existence of solutio…
Higher order energy conservation and global wellposedness of solutions for Gross-Pitaevskii hierarchies
Thomas Chen, Nataša Pavlović
We consider the cubic and quintic Gross-Pitaevskii (GP) hierarchies in dimensions, for focusing and defocusing interactions. We introduce new higher order energy functionals an…
Energy conservation and blowup of solutions for focusing Gross-Pitaevskii hierarchies
Thomas Chen, Nataša Pavlović, Nikolaos Tzirakis
We consider solutions of the focusing cubic and quintic Gross-Pitaevskii (GP) hierarchies. We identify an observable corresponding to the average energy per particle, and we prove…
Nonlinear Instability for the Critically Dissipative Quasi-Geostrophic Equation
Susan Friedlander, Nataša Pavlović, Vlad Vicol
We prove that linear instability implies non-linear instability in the energy norm for the critically dissipative quasi-geostrophic equation.