3 papers
q-bio.NC2026
Astrocytic resource diffusion stabilizes persistent activity in neural fields
Noah Palmer, Heather L. Cihak, Daniele Avitabile +1
Persistent neural activity underlying working memory requires sustained synaptic transmission, yet the metabolic and neurotransmitter support provided by astrocyte networks is larg…
math.AP2025
Separation of the initial conditions in the inverse problem for 1D non-linear tsunami wave run-up theory
Alexei Rybkin, Oleksandr Bobrovnikov, Noah Palmer +2
We investigate the inverse tsunami wave problem within the framework of the 1D nonlinear shallow water equations (SWE). Specifically, we focus on determining the initial displaceme…
math.AP2023
Inverse problem for the nonlinear long wave runup on a plane sloping beach
Alexei Rybkin, Efim Pelinovsky, Noah Palmer
We put forward a simple but effective explicit method of recovering initial data for the nonlinear shallow water system from the reading at the shoreline. We then apply our method…