4 papers
A nonlocal transport problem describing pore growth
Barbara Niethammer, Lorena Pohl, Juan J. L. Velázquez
We study a nonlocal transport problem describing pore growth in a biological membrane exposed to a periodic electric potential, where the growth term is modified through the first…
Long-time behaviour of a nonlocal model for electroporation
Barbara Niethammer, Lorena Pohl, Juan J. L. Velázquez
In this paper we analyze a model for electroporation, a biological process in which a cell membrane exposed to an external voltage becomes permeable due to the formation and growth…
Polytropic Gas Effects in Parker's Solar Wind Model and Coronal Hole Flows
B. K. Shivamoggi, L. Pohl
A detailed and systematic investigation of polytropic gas effects in Parker's solar wind model and coronal-hole flows is given. We present a viable equation governing the accelerat…
A Becker-Döring type model for cell polarization
Lorena Pohl, Barbara Niethammer
We propose a model for cell polarization based on the Becker-Döring equations with the first coagulation coefficient equal to zero. We show convergence to equilibrium for power-law…