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math.AP2020★ 12 cited
Mathematical Models for Erosion and the Optimal Transportation of Sediment
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 corresp…
math.AP2019★ 9 cited
The heat kernel on curvilinear polygonal domains in surfaces
Medet Nursultanov, Julie Rowlett, David A. Sher
We construct the heat kernel on curvilinear polygonal domains in arbitrary surfaces for Dirichlet, Neumann, and Robin boundary conditions as well as mixed problems, including those…