99 citations · 430 across the 30 of their papers we have counts for
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On the limiting amplitude principle for the wave equation with variable coefficients
Anton Arnold, Sjoerd Geevers, Ilaria Perugia +1
In this paper, we prove new results on the validity of the limiting amplitude principle (LAP) for the wave equation with nonconstant coefficients, not necessarily in divergence for…
On the exponential time-decay for the one-dimensional wave equation with variable coefficients
Anton Arnold, Sjoerd Geevers, Ilaria Perugia +1
We consider the initial-value problem for the one-dimensional, time-dependent wave equation with positive, Lipschitz continuous coefficients, which are constant outside a bounded r…
An entropy structure preserving space-time formulation for cross-diffusion systems: Analysis and Galerkin discretization
Marcel Braukhoff, Ilaria Perugia, Paul Stocker
Cross-diffusion systems are systems of nonlinear parabolic partial differential equations that are used to describe dynamical processes in several application, including chemical c…