3 Result(s)
within
T. J. Bridges
Mathematics
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Article
Open AccessLagrangian particle path formulation of multilayer shallow-water flows dynamically coupled to vessel motion
The coupled motion—between multiple inviscid, incompressible, immiscible fluid layers in a rectangular vessel with a rigid lid and the vessel dynamics—is considered. The fluid layers are assumed to be thin and...
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Article
Open AccessTime-dependent conformal map** of doubly-connected regions
This paper examines two key features of time-dependent conformal map**s in doubly-connected regions, the evolution of the conformal modulus Q(t) and the boundary transformation generalizing the Hilbert transfor...
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Article
Hamiltonian spatial structure for three-dimensional water waves in a moving frame of reference
The governing equations for three-dimensional time-dependent water waves in a moving frame of reference are reformulated in terms of the energy and momentum flux. The novelty of this approach is that time-inde...
