51 citations · 289 across the 34 of their papers we have counts for
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On the development and analysis of coupled surface-subsurface models of catchments. Part 2. A three-dimensional benchmark model and its properties
Piotr Morawiecki, Philippe H. Trinh
The objective of this three-part work is to formulate and rigorously analyse a number of reduced mathematical models that are nevertheless capable of describing the hydrology at th…
On the development and analysis of coupled surface-subsurface models of catchments. Part 3. Analytical solutions and scaling laws
Piotr Morawiecki, Philippe H. Trinh
The objective of this three-part work is to formulate and rigorously analyse a number of reduced mathematical models that are nevertheless capable of describing the hydrology at th…
On the development and analysis of coupled surface-subsurface models of catchments. Part 1. Analysis of dimensions and parameters for UK catchments
Piotr Morawiecki, Philippe H. Trinh
The objective of this three-part work is to formulate and rigorously analyse a number of reduced mathematical models that are nevertheless capable of describing the hydrology at th…
Exponential asymptotics and the generation of free-surface flows by submerged line vortices
Josh Shelton, Philippe H. Trinh
There has been significant recent interest in the study of water waves coupled with non-zero vorticity. We derive analytical approximations for the exponentially-small free-surface…
Resurgent aspects of applied exponential asymptotics
Samuel Crew, Philippe H. Trinh
In many physical problems, it is important to capture exponentially-small effects that lie beyond-all-orders of a typical asymptotic expansion; when collected, the full expansion i…