Trinh @ Bath

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research [2016/05/09 10:42]
trinh
research [2021/12/15 10:50] (current)
trinh
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 +~~NOTOC~~
 ====== Research ====== ====== Research ======
 +
 +===== Dec 2021 note =====
 +
 +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]]
 +
 +===== Sept 2020 note =====
 +
 +**Note:** I am currently too busy to keep this page updated...need to find a better mechanism! So most of the publication listings below are outdated.
 +
 +You are better off looking at my [[https://scholar.google.co.uk/citations?user=y7K3OG4AAAAJ&hl=en|Google Scholar]] for papers. 
 +
 +===== Research interests =====
  
 My research interests include: My research interests include:
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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]]. +/*
- +
-/*For an overview of my current research interests and research reports, see [[:reports|here]].*/ +
 ===== Journal and Book Publications ===== ===== Journal and Book Publications =====
  
 ==== Submitted or pre-print publications ==== ==== Submitted or pre-print publications ====
  
-**Trinh, P. H.** 2016 [[http://arxiv.org/abs/1510.06014|A nonlinear reduction for gravity waves generated by moving bodies]]. J. Fluid Mech. (Submitted)+**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.** 2016 [[http://arxiv.org/abs/1510.06647|A topological study of gravity waves generated by moving bodies using the method of steepest descents]]. Proc. Roy. Soc. A. (Submitted)+==== 2018 publications ====
  
-CrewS.C. & **Trinh, P. H.** 2016 [[http://arxiv.org/abs/1510.04254|New singularities for Stokes waves]]. J. Fluid Mech. (Submitted) {{:papers:trinh_stokeswave.pdf|PDF}}+ChandlerTG. 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.
  
-**Trinh, P. H.**, WilsonSK. & Stone, H. A. 2016 [[http://arxiv.org/abs/1410.8558|An elastic plate on a thin viscous film]]. JFluid Mech(Pre-Print) {{:papers:trinh_elastic.pdf|PDF}}+==== 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. 813824-859. 
 + 
 +HammoudN., **Trinh, P. H.**, Howell, PD. & 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]]. PhysRevFluids 2, 063601.
  
-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]]. Phys. Rev. Fluids (Pre-Print) {{:papers:trinh_elastic.pdf|PDF}} 
  
 ==== 2016 publications ==== ==== 2016 publications ====
  
-**Trinh, P. H.** & Ward, M. J. 2016 [[http://iopscience.iop.org/article/10.1088/0951-7715/29/3/766/meta|The dynamics of localized spot patterns for reaction-diffusion systems on the sphere]]. Nonlinearity. 299,  766 {{:papers:trinh_spots.pdf|PDF}}+**Trinh, P. H.** 2016 [[http://rspa.royalsocietypublishing.org/content/472/2191/20150833.abstract| A topological study of gravity free-surface waves generated by bluff bodies using the method of steepest descents]]. Proc. Roy. Soc. A. 472, 20150833.{{papers:2016-trinh-topological.pdf|PDF}} 
 + 
 +Crew, S.C. & **Trinh, P. H.** 2016 [[http://dx.doi.org/10.1017/jfm.2016.309|New singularities for Stokes waves]]. J. Fluid Mech. 798, 256-283.{{:papers:2016-crew-trinh-stokeswave.pdf|PDF}} 
 + 
 +**Trinh, P. H.** & Ward, M. J. 2016 [[http://iopscience.iop.org/article/10.1088/0951-7715/29/3/766/meta|The dynamics of localized spot patterns for reaction-diffusion systems on the sphere]]. Nonlinearity. 299,  766 {{:papers:2016-trinh-ward-spotpatterns.pdf|PDF}}
  
 ==== 2015 publications ==== ==== 2015 publications ====
  
-Ren, W., **Trinh, P. H.**, & E, W. 2015 [[http://dx.doi.org/10.1017/jfm.2015.173|On the distinguished limits of the Navier slip model of the moving contact line problem]]. J. Fluid Mech. 772, 107-126. {{:papers:trinh_mcl.pdf|PDF}}+Ren, W., **Trinh, P. H.**, & E, W. 2015 [[http://dx.doi.org/10.1017/jfm.2015.173|On the distinguished limits of the Navier slip model of the moving contact line problem]]. J. Fluid Mech. 772, 107-126. {{:papers:2015-ren-trinh-E-mcl.pdf|PDF}}
  
-**Trinh, P. H.** & Chapman, S.J. 2015 [[http://dx.doi.org/10.1088/0951-7715/28/5/1229|Exponential asymptotics and problems with coalescing singularities]]. Nonlinearity. 28, 1229. {{:papers:trinh-chapman_2015_coalescing.pdf|PDF}}+**Trinh, P. H.** & Chapman, S.J. 2015 [[http://dx.doi.org/10.1088/0951-7715/28/5/1229|Exponential asymptotics and problems with coalescing singularities]]. Nonlinearity. 28, 1229. {{:papers:2015-trinh-chapman-coalescing.pdf|PDF}}
  
 ==== 2014 publications ==== ==== 2014 publications ====
  
-**Trinh, P. H.**, Wilson, S. K. & Stone, H. A. 2014 [[http://dx.doi.org/10.1017/jfm.2014.526|A pinned or free-floating rigid plate on a thin viscous film]]. J. Fluid Mech. 760,  407- 430. {{:papers:trinh-wilson-stone_2014_rigid.pdf|PDF}}+**Trinh, P. H.**, Wilson, S. K. & Stone, H. A. 2014 [[http://dx.doi.org/10.1017/jfm.2014.526|A pinned or free-floating rigid plate on a thin viscous film]]. J. Fluid Mech. 760,  407- 430. {{:papers:2014-trinh-wilson-stone-rigidplate.pdf|PDF}}
  
-**Trinh, P. H.**, Kim, H., Hammoud, N., Howell, P.D., Chapman, S.J. & Stone, H.A. 2014 [[http://dx.doi.org/10.1063/1.4876476|Curvature suppresses the Rayleigh-Taylor instability.]] Phys. Fluids. 26, 051704. {{:papers:trinh-kim-hammoud_2014_cylinder.pdf|PDF}}+**Trinh, P. H.**, Kim, H., Hammoud, N., Howell, P.D., Chapman, S.J. & Stone, H.A. 2014 [[http://dx.doi.org/10.1063/1.4876476|Curvature suppresses the Rayleigh-Taylor instability.]] Phys. Fluids. 26, 051704. {{:papers:2014-trinh-etal-cylinder.pdf|PDF}}
  
-**Trinh, P. H.** & Chapman, S. J. 2014 [[http://dx.doi.org/10.1017/jfm.2013.589|The wake of a two-dimensional ship in the low-speed limit: results for multi-cornered hulls.]] J. Fluid Mech. 741, 492-513. {{:papers:trinh-chapman_2014_nhull.pdf|PDF}}+**Trinh, P. H.** & Chapman, S. J. 2014 [[http://dx.doi.org/10.1017/jfm.2013.589|The wake of a two-dimensional ship in the low-speed limit: results for multi-cornered hulls.]] J. Fluid Mech. 741, 492-513. {{:papers:2014-trinh-chapman-nhull.pdf|PDF}}
  
 ==== 2013 publications ==== ==== 2013 publications ====
  
-**Trinh, P. H.** & Chapman, S. J. 2013 [[http://dx.doi.org/10.1017/jfm.2013.110|New gravity-capillary waves at low speeds. Part 1: Linear theory.]] J. Fluid Mech. 724, 367–391. {{:papers:trinh-chapman_2013_linear.pdf|PDF}}+**Trinh, P. H.** & Chapman, S. J. 2013 [[http://dx.doi.org/10.1017/jfm.2013.110|New gravity-capillary waves at low speeds. Part 1: Linear theory.]] J. Fluid Mech. 724, 367–391. {{:papers:2013-trinh-chapman-gravlinear.pdf|PDF}}
  
-**Trinh, P. H.** & Chapman, S. J. 2013 [[http://dx.doi.org/10.1017/jfm.2013.129|New gravity-capillary waves at low speeds. Part 2: Nonlinear theory.]] J. Fluid Mech. 724, 392–424. {{:papers:trinh-chapman_2013_nonlinear.pdf|PDF}}+**Trinh, P. H.** & Chapman, S. J. 2013 [[http://dx.doi.org/10.1017/jfm.2013.129|New gravity-capillary waves at low speeds. Part 2: Nonlinear theory.]] J. Fluid Mech. 724, 392–424. {{:papers:2013-trinh-chapman-gravnonlinear.pdf|PDF}}
  
 Chapman, S. Jonathan, **Trinh, Philippe H.** & Witelski, Thomas P. Chapman, S. Jonathan, **Trinh, Philippe H.** & Witelski, Thomas P.
-2013 [[http://dx.doi.org/10.1137/120872012|Exponential asymptotics for thin film rupture]]. SIAM Journal on Applied Mathematics 73 (1), 232–253. {{:papers:chapman-trinh-witelski_2013_rupture.pdf|PDF}}+2013 [[http://dx.doi.org/10.1137/120872012|Exponential asymptotics for thin film rupture]]. SIAM Journal on Applied Mathematics 73 (1), 232–253. {{:papers:2013-chapman-trinh-witelski-rupture.pdf|PDF}}
  
-Wexler, J. S., **Trinh, P. H.**, Berthet, H., Quennouz, N., du Roure, Olivia, Huppert, H. E., Linder, A. & Stone, H. A. 2013 [[http://dx.doi.org/10.1017/jfm.2013.49|Bending of elastic fibres in viscous flows: the influence of confinement.]] J. Fluid Mech. 720, 517–544. {{:papers:wexler-etal_2013_fibre.pdf|PDF}}+Wexler, J. S., **Trinh, P. H.**, Berthet, H., Quennouz, N., du Roure, Olivia, Huppert, H. E., Linder, A. & Stone, H. A. 2013 [[http://dx.doi.org/10.1017/jfm.2013.49|Bending of elastic fibres in viscous flows: the influence of confinement.]] J. Fluid Mech. 720, 517–544. {{:papers:2013-wexler-etal-fibre.pdf|PDF}}
  
 ==== Pre-2013 publications ==== ==== Pre-2013 publications ====
  
-**Trinh, P. H.**, Chapman, S. J. & Vanden-Broeck, J.-M. 2011 [[http://dx.doi.org/10.1017/jfm.2011.325|Do waveless ships exist? Results for single-cornered hulls]]. J. Fluid Mech. 685, 413–439. {{:papers:trinh-chapman-vb_2011_1hull.pdf|PDF}}+**Trinh, P. H.**, Chapman, S. J. & Vanden-Broeck, J.-M. 2011 [[http://dx.doi.org/10.1017/jfm.2011.325|Do waveless ships exist? Results for single-cornered hulls]]. J. Fluid Mech. 685, 413–439. {{:papers:2011-trinh-chapman-vandenbroeck-1hull.pdf|PDF}}
  
-**Trinh, P. H.** 2010 [[https://www.springer.com/materials/mechanics/book/978-3-7091-0407-1|Asymptotic Methods in Fluid Mechanics: Survey and Recent Advances]], chap. //Exponential Asymptotics and Stokes Line Smoothing for Generalized Solitary Waves//, pp. 121–126. SpringerWienNewYork. {{:papers:trinh_2010_exp.pdf|PDF}}+**Trinh, P. H.** 2010 [[https://www.springer.com/materials/mechanics/book/978-3-7091-0407-1|Asymptotic Methods in Fluid Mechanics: Survey and Recent Advances]], chap. //Exponential Asymptotics and Stokes Line Smoothing for Generalized Solitary Waves//, pp. 121–126. SpringerWienNewYork. {{:papers:2010-trinh-exponential.pdf|PDF}}
  
-**Trinh, P.** & Amundsen, D. 2010 [[http://dx.doi.org/10.1016/j.cam.2009.08.029|Unifying steady-state resonant solutions of a broad class of KdV-type equations]]. J. Comp. App. Math. 234 (6), 1788–1795. {{:papers:trinh-amundsen_2010_kdv.pdf|PDF}}+**Trinh, P.** & Amundsen, D. 2010 [[http://dx.doi.org/10.1016/j.cam.2009.08.029|Unifying steady-state resonant solutions of a broad class of KdV-type equations]]. J. Comp. App. Math. 234 (6), 1788–1795. {{:papers:2010-trinh-amundsen-kdv.pdf|PDF}}
  
 ==== Conference proceedings and reports ==== ==== Conference proceedings and reports ====
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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 ==== 
- 
-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. 
- 
-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. 
- 
-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 
- 
-P.Trinh and S.J. Chapman (2012) "New theoretical gravity-capillary waves. Part 1: Linear theory", J. Fluid Mech. Submitted. Pre-Print 
- 
-P.Trinh and S.J. Chapman (2012) "New theoretical gravity-capillary waves. Part 2: Nonlinear theory", J. Fluid Mech. Submitted. Pre-Print 
- 
-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 ==== 
- 
-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. 
- 
-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. 
- 
-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. 
- 
-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 
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-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. 
-*/ 
-