596 citations · 1.9k across the 87 of their papers we have counts for
105 papers
On particles and waves
Carlos E. Kenig
This is an expository article describing the works of Yu Deng, Zaher Hani and Xiao Ma on the long-time derivation of the fluid equations from the statistics of Newtonian particle c…
Examples of non-Dini domains with large singular sets
Carlos Kenig, Zihui Zhao
Let be a non-trivial harmonic function in a domain which vanishes on an open set of the boundary. In a recent paper, we showed that if is a -Di…
On classification of non-radiative solutions for various energy-critical wave equations
Charles Collot, Thomas Duyckaerts, Carlos Kenig +1
Non-radiative solutions of energy critical wave equations are such that their energy in an exterior region vanishes asymptotically in both time directions. This notion,…
On channels of energy for the radial linearised energy critical wave equation in the degenerate case
Charles Collot, Thomas Duyckaerts, Carlos Kenig +1
Channels of energy estimates control the energy of an initial data from that which it radiates outside a light cone. For the linearised energy critical wave equation they have been…
Scattering for focusing supercritical wave equations in odd dimensions
Guher Camliyurt, Carlos E. Kenig
We consider the wave equation with an energy supercritical focusing nonlinearity in general odd dimensions. We prove that any radial solution that remains bounded in the critical S…
Soliton resolution for the radial quadratic wave equation in six space dimensions
Charles Collot, Thomas Duyckaerts, Carlos Kenig +1
We consider the quadratic semilinear wave equation in six dimensions. This energy critical problem admits a ground state solution, which is the unique (up to scaling) positive stat…