152 citations · 631 across the 45 of their papers we have counts for
47 papers
Generalized Whiting transform and Flux Estimates for Wave Equations in Subextremal Kerr
Lili He, Sergiu Klainerman
All recent advances \cite{DRS}, \cite{S-Rita1}, \cite{S-Rita2}, \cite{Millet}, \cite{MaS}, \cite{MaS2} on the boundedness and decay for wave equations on subextremal Kerr spacetime…
Inevitable shock formation for 3-D compressible Euler flows
Sergiu Klainerman, Qian Wang, Shiwu Yang +1
We prove that solutions arising from smooth, sufficiently small, compactly supported perturbations of non-vacuum constant states in three-dimensional irrotational compressible flow…
Formation of Trapped Surfaces from Spacelike Initial Data
Xuantao Chen, Sergiu Klainerman
We make use of the free data formalism developed in \cite{CK25,CK26} to provide a direct construction of short-pulse type Cauchy data. The construction of the spacelike short-pulse…
A Physical space derivation of Morawetz-Energy estimates in Kerr spacetimes with large angular momentum
Lili He, Sergiu Klainerman
We revisit the derivation of Morawetz-energy estimates for scalar wave equations in the domain of outer communication of a Kerr spacetime $\KK(a,m)$. Our goal is to develop robust…
Forward Construction of Vacuum Initial Data with Borderline Decay
Xuantao Chen, Sergiu Klainerman
We make use of the free data formalism developed in \cite{CK25} to construct solutions of the Einstein vacuum constraint equations by integrating in the forward direction. This, to…
Solving the constraint equation for general free data
Xuantao Chen, Sergiu Klainerman
We revisit the problem of solving the Einstein constraint equations in vacuum by a new method, which allows us to prescribe four scalar quantities, representing the full dynamical…