308 citations · 788 across the 36 of their papers we have counts for
35 papers · 1 filter
Scattering for wave equations with sources close to the lightcone and prescribed radiation fields
Hans Lindblad, Volker Schlue
We construct solutions with prescribed radiation fields for wave equations with polynomially decaying sources close to the lightcone. In this setting, which is motivated by semi-li…
Asymptotics and Scattering for Wave-Klein-Gordon Systems
Xuantao Chen, Hans Lindblad
We study the coupled wave-Klein-Gordon systems, introduced by LeFloch-Ma and then Ionescu-Pausader, to model the nonlinear effects from the Einstein-Klein-Gordon equation in harmon…
The weak null condition on Kerr backgrounds
Hans Lindblad, Mihai Tohaneanu
We study a system of semilinear wave equations on Kerr backgrounds that satisfies the weak null condition. Under the assumption of small initial data, we prove global existence and…
On the local well-posedness for the relativistic Euler equations for a liquid body
Daniel Ginsberg, Hans Lindblad
We prove a local existence theorem for the free boundary problem for a relativistic fluid in a fixed spacetime. Our proof involves an a priori estimate which only requires control…
Anisotropic Regularity of the Free-Boundary Problem in Compressible Ideal Magnetohydrodynamics
Hans Lindblad, Junyan Zhang
We consider 3D free-boundary compressible ideal magnetohydrodynamic (MHD) system under the Rayleigh-Taylor sign condition. It describes the motion of a free-surface perfect conduct…
On modified scattering for 1D quadratic Klein-Gordon equations with non-generic potentials
Hans Lindblad, Jonas Luhrmann, Wilhelm Schlag +1
We consider the asymptotic behavior of small global-in-time solutions to a 1D Klein-Gordon equation with a spatially localized, variable coefficient quadratic nonlinearity and a no…