4 papers
Remarkable localized integral identities for compressible Euler flow and the double-null framework
Leonardo Abbrescia, Jared Speck
We derive new, localized geometric integral identities for solutions to the compressible Euler equations under an arbitrary equation of state when the sound speed is positive.…
Global stability of some totally geodesic wave maps
Leonardo Enrique Abbrescia, Yuan Chen
We prove that wave maps that factor as , subject to a sign condition, are globally nonlinear…
Global versions of Gagliardo-Nirenberg-Sobolev inequality and applications to wave and Klein-Gordon equations
Leonardo Abbrescia, Willie Wai Yeung Wong
We prove global, or space-time weighted, versions of the Gagliardo-Nirenberg interpolation inequality, with () endpoint, adapted to a hyperboloidal foliation. The…
Global nearly-plane-symmetric solutions to the membrane equation
Leonardo Abbrescia, Willie Wai Yeung Wong
We prove that any simple planar travelling wave solution to the membrane equation in spatial dimension with bounded spatial extent is globally nonlinearly stable under s…