Showing math.APShow all
2 papers · 1 filter
math.AP2026
Instability of solutions in a degenerate reaction diffusion equation
R. Marangell, J. J. Wylie, B. H. Bradshaw-Hajek
We study the spectral stability of travelling and stationary front and pulse solutions in a class of degenerate reaction-diffusion systems. We characterise the essential spectrum o…
math.AP2024
Shock selection in reaction--diffusion equations with partially negative diffusivity using nonlinear regularisation
Thomas Miller, Alexander K. Y. Tam, Robert Marangell +2
We consider a general reaction--nonlinear-diffusion equation with a region of negative diffusivity, and show how a nonlinear regularisation selects a shock position. Negative diffu…