Trinh @ Bath

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research [2016/10/06 22:37]
trinh 		research [2025/04/14 08:58] (current)
trinh [Research interests]
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 +~~NOTOC~~
 ====== Research ====== ====== Research ======
 +
 +You will be able to find a mostly-complete list of my publications on  [[https://scholar.google.co.uk/citations?hl=en&user=y7K3OG4AAAAJ&view_op=list_works&sortby=pubdate|Google Scholar]].
 +
 +A good way to learn about what I do is to examine my PhD student talks! Here are a few that have been recorded over the last little while.
 +
 +  * [[https://youtu.be/qRt9Cr4A_eM|Piotr Morawiecki gives a talk on mathematical models of flooding]]
 +  * [[https://youtu.be/J0Ujpkkr6oc|Josh Shelton gives a talk on parasitic gravity-capillary waves]]
 +  * [[https://youtu.be/iJzRnyDH7zs|Yyanis Johnson-Llambias gives a talk on water waves due to flows past smoothed bodies]]
 +
 +For researchers who are interested in my work on better understanding differences in flood estimation models, see a dedicated section: [[research_flooding|Asymptotics for intermodel comparisons of flood-estimation models]].
 +
 +===== Research interests =====
  
 My research interests include: My research interests include:
  
 +  * **Environmental mathematics and hydrology:** conceptual, physics-based, and statistical models of hydrological processes and water resources
   * **Classical hydrodynamics:** free-surface flows; gravity-capillary waves; wave-structure interactions; ship hydrodynamics; Korteweg-de Vries-type equations and nonlinear waves   * **Classical hydrodynamics:** free-surface flows; gravity-capillary waves; wave-structure interactions; ship hydrodynamics; Korteweg-de Vries-type equations and nonlinear waves
   * **Low Reynolds number flows:** theory and modeling of viscosity and surface-tension dominated flows, including thin film or Hele-Shaw-type problems; the study of fluid instabilities (e.g. gravity-driven dripping of thin films)   * **Low Reynolds number flows:** theory and modeling of viscosity and surface-tension dominated flows, including thin film or Hele-Shaw-type problems; the study of fluid instabilities (e.g. gravity-driven dripping of thin films)
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   * **Numerical methods:** notably boundary integral methods for free-surface flows   * **Numerical methods:** notably boundary integral methods for free-surface flows
  
-I love that I'm able to work and learn from some of the best mathematicians and physicists in their fields, and you can see some of them [[:collaborators|here]]. +/*
- +
 ===== Journal and Book Publications ===== ===== Journal and Book Publications =====
  
 ==== Submitted or pre-print publications ==== ==== Submitted or pre-print publications ====
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-**Trinh, P. H.** 2016 [[http://arxiv.org/abs/1510.06014|A nonlinear reduction for gravity waves generated by moving bodies]]. (Pre-Print.) 
  
 **Trinh, P. H.**, Wilson, S. K. & Stone, H. A. 2016 [[http://arxiv.org/abs/1410.8558|An elastic plate on a thin viscous film]]. (Pre-Print) **Trinh, P. H.**, Wilson, S. K. & Stone, H. A. 2016 [[http://arxiv.org/abs/1410.8558|An elastic plate on a thin viscous film]]. (Pre-Print)
  
-Hammoud, N., **Trinh, P. H.**, Howell, P. D. & Stone, H. A. 2016 [[http://arxiv.org/abs/1601.00726|The influence of van der Waals interactions on a bubble moving in a tube]]. (Pre-Print)+==== 2018 publications ==== 
 + 
 +Chandler, T. G. J. & **Trinh, P. H.** 2018 [[https://doi.org/10.1017/jfm.2018.708|Complex singularities near the intersection of a free surface and wall.]] Part 1. Vertical jets and rising bubbles. J. Fluid Mech. 856, 323–350. 
 + 
 +==== 2017 publications ==== 
 + 
 +**Trinh, P. H.** 2017 [[https://doi.org/10.1017/jfm.2016.818|On reduced models for gravity waves generated by moving bodies]]. J. Fluid Mech. 813, 824-859. 
 + 
 +Hammoud, N., **Trinh, P. H.**, Howell, P. D. & Stone, H. A. 2016 [[https://journals.aps.org/prfluids/abstract/10.1103/PhysRevFluids.2.063601|The influence of van der Waals interactions on a bubble moving in a tube]]. Phys. Rev. Fluids 2, 063601. 
  
 ==== 2016 publications ==== ==== 2016 publications ====
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 **Trinh, P. H.** 2007 //Unifying resonant solutions of the KdV, modified KdV, and extended KdV equations//. Master’s thesis, School of Mathematics and Statistics, Carleton University, Canada. **Trinh, P. H.** 2007 //Unifying resonant solutions of the KdV, modified KdV, and extended KdV equations//. Master’s thesis, School of Mathematics and Statistics, Carleton University, Canada.
  
-/* 
-==== In Preparation or Submitted ==== 
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-P. Trinh, S.K. Wilson and H.A. Stone (20--) "Free-floating objects on thin viscous films. Part 1. Rigid structures" J. Fluid Mech., In preparation. 
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-J. Wexler, P. Trinh, H.E. Huppert and H.A. Stone (20--) "The influence of confinement on the bending of fibres in a Hele-Shaw cell" J. Fluid Mech., In preparation. 
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-P.Trinh and S.J. Chapman (2012) "Do waveless ships exist? Results on multi-cornered hulls", J. Fluid Mech. Submitted and in revision. Pre-Print 
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-P.Trinh and S.J. Chapman (2012) "New theoretical gravity-capillary waves. Part 1: Linear theory", J. Fluid Mech. Submitted. Pre-Print 
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-P.Trinh and S.J. Chapman (2012) "New theoretical gravity-capillary waves. Part 2: Nonlinear theory", J. Fluid Mech. Submitted. Pre-Print 
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-S.J. Chapman, P.Trinh, and T.P. Witelski (2012) "Exponential Asymptotics and Thin Film Rupture", SIAM J. Appl. Math. Submitted. Pre-Print 
- 
-==== Publications and Reports ==== 
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-P.Trinh, S.J. Chapman, and J-M. Vanden-Broeck (2011) "Do waveless ships exist? Results for single-cornered hulls", J. Fluid Mech. 685, 418-435. 
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-P.Trinh, S.J. Chapman, and J-M. Vanden-Broeck (2011) "The existence and non-existence of waveless ships", Proc. 25th Int. Workshop on Water Waves and Floating Bodies (Harbin, China). 
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-P.Trinh (2011) "Exponential Asymptotics and Stokes Line Smoothing for Generalized Solitary Waves", Asymptotic Methods in Fluid Mechanics: Survey and Recent Advances, Springer. 
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-P.Trinh, S.J. Chapman, and J-M. Vanden-Broeck (2009) "Exponential Asymptotics and Low-Speed Stern Waves", Proc. 5th IMACS Conf. Athens, Georgia. 
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-P. Trinh and D. Amundsen (2010) “Unifying the steady state resonant solutions of the periodically forced KdVB, mKdVB, and eKdVB equations,” J. Comp. App. Math. 234 (6), 1788-1795. 
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-P. Trinh and D. Amundsen (2007) “Resonant solutions of the periodically forced eKdVB equation”, Proc. 8th Int. Conf. Math. Num. Asp. Waves (Waves 2007), University of Reading, 120-122. 
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-P.Trinh (2007) "Unifying the Resonant Solutions of a Broad Class of Korteweg-de Vries Equations", M.Sc. Thesis, Carleton University. 
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-P. Trinh (2005) “Steady Solutions of a Coupled Korteweg-de Vries Equation,” Internal report submitted to Dr. David Amundsen (NSERC USRA 2005) 
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-D. Sankoff, P. Trinh (2005) “Chromosomal breakpoint re-use in genome sequence rearrangement,” J. Comp. Bio., 12:812–821. 
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-P. Trinh, A. McLysaght, and D. Sankoff (2004). “Genomic features in the breakpoint regions between syntenic blocks,” Bioinformatics 20, Suppl 1:I318-I325. 
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-D. Sankoff, P. Trinh (2004). “Chromosomal breakpoint re-use in the inference of genome sequence rearrangement,” Proc. RECOMB 04. New York: ACM Press, 30–5. 
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-==== Talks ==== 
- 
-P. Trinh (2011) "The Contact Lens Problem": A talk at the APS Division of Fluid Dynamics Meeting in Baltimore, Maryland. 
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-P. Trinh (2011) "The Beauty of Complex Variables": A talk at the Complex Fluids Group in Princeton, New Jersey. 
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-P. Trinh (2011) "Have you seen our waves?": A talk at the Dynamical Systems and Nonlinear Science Seminar at PACM, Princeton University. 
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-P. Trinh (2009) "Do Waveless Ships Exist?": A talk at the APS Division of Fluid Dynamics Meeting in Minneapolis, Minnesota. 
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-P. Trinh (2009) "Preserving Nonlinear Geometries in Free-Surface Flows": A talk at the CISM Asymptotic Methods in Fluid Mechanics Course in Udine, Italy. 
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-P. Trinh (2009) "The Existence and Non-Existence of Waveless Ships": A talk at the Fourteenth Cambridge/Oxford Applied Mathematics Meeting in Cambridge, UK. 
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-P. Trinh (2009) "How can exponential asymptotics be used to find hidden surface waves in low-speed flows?": A talk at the British Applied Mathematics Colloquia (BAMC) in Nottingham, UK. 
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-P. Trinh (2009) "Exponential asymptotics and stern waves": A talk at the fifth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory in Athens, Georgia. 
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-P. Trinh (2009) "Asymptotics beyond-all-orders and the Devil: The mathematical, physical, historical, and philosophical significance in 15 minutes or less!)": A talk for the Balliol Jowett Scholarship interview in Oxford, UK. 
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-P. Trinh (2008) "Unifying resonant solutions of KdV-Type equations": A talk at the Junior Applied Mathematics Seminar in Oxford, UK. 
-*/ 
- 
-/* 
-==== Expository Writing and Posters ==== 
- 
-Picture 
- 
-P. Trinh (2009) “Brad gets Jolie and I get…Math? Maths of facial recognition,” Pi in the Sky, 13. 
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-Paper 
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-P. Trinh (2009) “Seeing the Unseen”, a poster for the 2nd SIAM Student Chapter Conference in Oxford. 
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-P. Trinh (2009) “The unnatural nature of asymptotic approximations,” iSquared Magazine, 6:18-29. 
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-P. Trinh (2008) “Did a philosopher kill WALL-E?” +Plus Magazine, News Release, May-Aug 08. 
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-P. Trinh (2008) “Maths on a Plane” +Plus Magazine, 47. 
 */ */
Last modified: 2016/10/06 22:37