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math.AP2024
Well-posedness and exponential stability of dispersive nonlinear Maxwell equations with PML: An evolutionary approach
Nils Margenberg, Markus Bause
This paper presents a mathematical foundation for physical models in nonlinear optics through the lens of evolutionary equations. It focuses on two key concepts: well-posedness and…
math.AP2024
The Biot-Allard poro-elasticity system: equivalent forms and well-posedness
Jakob S. Stokke, Markus Bause, Nils Margenberg +1
We consider the fully dynamic Biot-Allard model, which includes memory effects. Convolution integrals in time model the history of the porous medium. We use a series representation…