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Outputs (2)

Slow travelling wave solutions of the nonlocal Fisher-KPP equation (2020)
Journal Article
Billingham, J. (2020). Slow travelling wave solutions of the nonlocal Fisher-KPP equation. Nonlinearity, 33(5), 2106-2142. https://doi.org/10.1088/1361-6544/ab6f4f

© 2020 IOP Publishing Ltd & London Mathematical Society. We study travelling wave solutions, u = U(x - ct), of the nonlocal Fisher- KPP equation in one spatial dimension, dimension, (Display equation presented), with D = 1 and c = 1, where = = u is... Read More about Slow travelling wave solutions of the nonlocal Fisher-KPP equation.

A dam-break driven by a moving source: a simple model for a powder snow avalanche (2019)
Journal Article
Billingham, J. (2019). A dam-break driven by a moving source: a simple model for a powder snow avalanche. Journal of Fluid Mechanics, 870, 353-388. https://doi.org/10.1017/jfm.2019.273

We study the two-dimensional, irrotational flow of an inviscid, incompressible fluid injected from a line source moving at constant speed along a horizontal boundary, into a second, immiscible, inviscid fluid of lower density. A semi-infinite, horizo... Read More about A dam-break driven by a moving source: a simple model for a powder snow avalanche.