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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.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…