81 citations · 438 across the 34 of their papers we have counts for
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Trapped surfaces in vacuum arising dynamically from mild incoming radiation
Xinliang An, Jonathan Luk
In this paper, we study the "minimal requirement" on the incoming radiation that guarantees a trapped surface to form in vacuum. First, we extend the region of existence in Christo…
Strichartz estimates and moment bounds for the relativistic Vlasov-Maxwell system II. Continuation criteria in the 3D case
Jonathan Luk, Robert M. Strain
We consider the -dimensional relativistic Vlasov-Maxwell system with data without compact support in momentum space. We prove two continuation criteria for solutions to this sys…
Strichartz estimates and moment bounds for the relativistic Vlasov-Maxwell system I. The -D and -D cases
Jonathan Luk, Robert M. Strain
Consider the relativistic Vlasov-Maxwell system with initial data of unrestricted size. In the two dimensional and the two and a half dimensional cases, Glassey-Schaeffer (1997, 19…
A new continuation criterion for the relativistic Vlasov-Maxwell system
Jonathan Luk, Robert M. Strain
The global existence of solutions to the relativistic Vlasov-Maxwell system given sufficiently regular finite energy initial data is a longstanding open problem. The main result of…
Quantitative decay rates for dispersive solutions to the Einstein-scalar field system in spherical symmetry
Jonathan Luk, Sung-Jin Oh
In this paper, we study the future causally geodesically complete solutions of the spherically symmetric Einstein-scalar field system. Under the a priori assumption that the scalar…