3 papers
math.AP2024
Improved error bounds for approximations of high-frequency wave propagation in nonlinear dispersive media
Julian Baumstark, Tobias Jahnke
High-frequency wave propagation is often modelled by nonlinear Friedrichs systems where both the differential equation and the initial data contain the inverse of a small parameter…
math.AP2022
Approximation of high-frequency wave propagation in dispersive media
Julian Baumstark, Tobias Jahnke
We consider semilinear hyperbolic systems with a trilinear nonlinearity. Both the differential equation and the initial data contain the inverse of a small parameter ,…
math.AP2022
Polarized high-frequency wave propagation beyond the nonlinear Schrödinger approximation
Julian Baumstark, Tobias Jahnke, Christian Lubich
This paper studies highly oscillatory solutions to a class of systems of semilinear hyperbolic equations with a small parameter, in a setting that includes Klein--Gordon equations…