3 papers
math.AP2026
Well-posedness of a first-order formulation for fractionally damped nonlinear acoustics
Pascal Lehner, Mostafa Meliani
In this work, we study the well-posedness of a quasilinear first-order-in-time system with memory arising in nonlinear acoustics. The model features a memory kernel describing the…
math.NA2026
A parallel space-time -adaptive discontinuous Galerkin method for nonlinear acoustics
Daniele Corallo, Pascal Lehner, Christian Wieners
In this paper, we introduce and analyze a space-time -adaptive discontinuous Galerkin method for nonlinear acoustics. We first present the underlying mathematical model, which i…
math.AP2026
Well-posedness of a first-order-in-time model for nonlinear acoustics with nonhomogeneous boundary conditions
Pascal Lehner
We study well-posedness of a first-order-in-time model for nonlinear acoustics with nonhomogeneous boundary conditions in fractional Sobolev spaces. The analysis proceeds by first…