Dr Joshua Shelton - School of Mathematics and Statistics
Dr Joshua Shelton
Lecturer in Fluid Dynamics
Selected publications
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Open access
Exponential asymptotics and higher-order Stokes phenomenon in singularly perturbed ODEs
Shelton, J., Crew, S. & Trinh, P. H., 1 Apr 2025, In: SIAM Journal on Applied Mathematics. 85, 2, p. 548-575 28 p.
Research output: Contribution to journal › Article › peer-review
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Open access
A model ODE for the exponential asymptotics of nonlinear parasitic capillary ripples
Shelton, J. & Trinh, P. H., 13 Jun 2024, In: IMA Journal of Applied Mathematics. 89, 2, p. 318-342 25 p.
Research output: Contribution to journal › Article › peer-review
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Open access
An enthalpy-based model for the physics of ice-crystal icing
Peters, T., Shelton, J., Tang, H. & Trinh, P. H., 25 Dec 2024, In: Journal of Fluid Mechanics. 1001, 43 p., A12.
Research output: Contribution to journal › Article › peer-review
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Exponential asymptotics for a model problem of an equatorially trapped Rossby wave
Shelton, J., Chapman, S. J. & Trinh, P., 1 Aug 2024, In: SIAM Journal on Applied Mathematics. 84, 4, p. 1482-1503 22 p.
Research output: Contribution to journal › Article › peer-review
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Time-periodic generalised solitary waves with a hydraulic fall
Shelton, J. A., 24 Oct 2024, In: Journal of Fluid Mechanics.
Research output: Contribution to journal › Article
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Exponential asymptotics and the generation of free-surface flows by submerged line vortices
Shelton, J. A. & Trinh, P., 6 Mar 2023, In: Journal of Fluid Mechanics. A29.
Research output: Contribution to journal › Article › peer-review
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Open access
On the structure of parasitic gravity-capillary standing waves in the small surface tension limit
Shelton, J., Milewski, P. & Trinh, P. H., 10 Oct 2023, In: Journal of Fluid Mechanics. 972, 12 p., R6.
Research output: Contribution to journal › Article › peer-review
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Exponential asymptotics for steady parasitic capillary ripples on steep gravity waves
Shelton, J. A. & Trinh, P., 25 May 2022, In: Journal of Fluid Mechanics. 939, A17.
Research output: Contribution to journal › Article › peer-review
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Open access
On the structure of steady parasitic gravity-capillary waves in the small surface tension limit
Shelton, J. A., Milewski, P. & Trinh, P., 9 Jul 2021, In: Journal of Fluid Mechanics. 922, A16.
Research output: Contribution to journal › Article › peer-review