no code implementations • 14 Dec 2020 • Björn Birnir, Julie Rowlett
We investigate a mathematical theory for the erosion of sediment which begins with the study of a non-linear, parabolic, weighted 4-Laplace equation on a rectangular domain corresponding to a base segment of an extended landscape.
Analysis of PDEs Mathematical Physics Mathematical Physics Fluid Dynamics Geophysics 35G20, 35K55
no code implementations • 11 Dec 2020 • Susanne Menden-Deuer, Julie Rowlett
Our simulations based on the theoretical model show that up to 100 species can coexist for at least 10000 generations, and that even small population sizes or species with inferior competitive ability can survive when there is intra-specific variability.
no code implementations • 11 Dec 2020 • Julie Rowlett
This article is a brief presentation of results surrounding the fundamental gap.
Spectral Theory Analysis of PDEs Differential Geometry 35P05, 58J50
no code implementations • 11 Dec 2020 • Julie Rowlett
We present a brief survey of the spectral theory and dynamics of infinite volume asymptotically hyperbolic manifolds.
Spectral Theory Mathematical Physics Differential Geometry Dynamical Systems Mathematical Physics 37D40, 58J50, 53C22
no code implementations • 11 Dec 2020 • Nelia Charalambous, Zhiqin Lu, Julie Rowlett
We demonstrate lower bounds for the eigenvalues of compact Bakry-Emery manifolds with and without boundary.
Spectral Theory Analysis of PDEs Differential Geometry
no code implementations • 11 Dec 2020 • Zhiqin Lu, Julie Rowlett
We prove that the presence or absence of corners is spectrally determined in the following sense: any simply connected domain with piecewise smooth Lipschitz boundary cannot be isospectral to any connected domain, of any genus, which has smooth boundary.
Spectral Theory Mathematical Physics Analysis of PDEs Differential Geometry Mathematical Physics 35P99 (primary), 35K05 (secondary)
no code implementations • 10 Dec 2020 • Zhiqin Lu, Julie Rowlett
Following the introduction, the main techniques used in inverse isospectral problems are collected and discussed.
Spectral Theory Analysis of PDEs Differential Geometry primary 58C40, secondary 35P99
