46 citations · 131 across the 10 of their papers we have counts for
3 papers · 1 filter
Discontinuous solutions of Hamilton-Jacobi equations versus Radon measure-valued solutions of scalar conservation laws: Disappearance of singularities
M. Bertsch, F. Smarrazzo, A. Terracina +1
Let be a bounded and Lipschitz continuous function. We consider discontinuous viscosity solutions of the Hamilton-Jacobi equation and signed Radon measure valu…
A sensitivity analysis of a mathematical model for the synergistic interplay of Amyloid beta and tau on the dynamics of Alzheimer's disease
Michiel Bertsch, Bruno Franchi, Valentina Meschini +2
We propose a mathematical model for the onset and progression of Alzheimer's disease based on transport and diffusion equations. We treat brain neurons as a continuous medium and s…
A free boundary problem for binary fluids
Roberto Benzi, Michiel Bertsch, Francesco Deangelis
A free boundary problem for the dynamics of a glasslike binary fluid naturally leads to a singular perturbation problem for a strongly degenerate parabolic partial differential equ…