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20172025
most citedAnalytic description of singularities in Gowdy spacetimes

139 citations · 256 across the 17 of their papers we have counts for

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gr-qc2017★ 139 cited

Analytic description of singularities in Gowdy spacetimes

Satyanad Kichenassamy, Alan D. Rendall

We use Fuchsian Reduction to construct singular solutions of Einstein's equations which belong to the class of Gowdy spacetimes. The solutions have the maximum number of arbitrary…

gr-qc2017★ 49 cited

Asymptotic Behavior in Polarized {\bf T}-symmetric Vacuum Spacetimes

James Isenberg, Satyanad Kichenassamy

We use Fuchsian Reduction to study the behavior near the singularity of a class of solutions of Einstein's vacuum equations. These solutions admit two commuting spacelike Killing f…

physics.hist-ph2017

A study of ancient Khmer ephemerides

François Vernotte, Satyanad Kichenassamy

We study ancient Khmer ephemerides described in 1910 by the French engineer Faraut, in order to determine whether they rely on observations carried out in Cambodia. These ephemerid…

math.AP2017★ 47 cited

Breather Solutions of the Nonlinear Wave Equation

Satyanad Kichenassamy

We construct series solutions to all orders for breathers of Klein-Gordon equations, in powers of an amplitude parameter epsilon, under a sign condition on the coefficients of the…

gr-qc2017★ 6 cited

Soliton stars in the breather limit

Satyanad Kichenassamy

This paper presents an asymptotic reduction of the Einstein-Klein-Gordon system with real scalar field ("soliton star problem"). A periodic solution of the reduced system, similar…

math.AP2017★ 3 cited

Control of blow-up singularities for nonlinear wave equations

Satyanad Kichenassamy

While the global boundary control of nonlinear wave equations that exhibit blow-up is generally impossible, we show on a typical example, motivated by laser breakdown, that it is p…