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math.AP2019★ 1 cited
Evolution equations on time-dependent intervals
Athanasios S. Fokas, Beatrice Pelloni, Baoqiang Xia
We study initial boundary value problems for linear evolution partial differential equations (PDEs) posed on a time-dependent interval , , where an…
math.AP2008★ 6 cited
A Nonlocal Formulation of Rotational Water Waves
Anthony C. L Ashton, A. S. Fokas
The classical equations of irrotational water waves have recently been reformulated as a system of two equations, one of which is an explicit non-local equation for the wave height…