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coventry, france
It's currently 8:02 AM here
Joined August 8, 2012
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Antin L.
@antipko
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coventry, france
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Mathematics and science Researcher
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Portfolio
Portfolio
Transcritical flow of a Bose-Einstein condensate through a p
Transcritical flow of a Bose-Einstein condensate through a p
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Experience
Langue Trainer
Mar 2012 - Present
Training non native speaker to use English more effectivly to complete tasks in their job.
Researcher
Jul 2007 - Nov 2011 (4 years, 4 months)
The focus of my PhD research was nonlinear dispersive waves with an emphasis on multi-scale inviscid fluid flows involving solitons and modulated nonlinear wavetrains. I was particularly interested in the mathematical theory of dispersive shock waves -unsteady rapidly oscillating nonlinear wave structures providing regularisation of `breaking' hydrodynamic singularities in weakly dispersive media. Dispersive shock waves have recently become the subject of very active theoretical and experimental resea
Module tutor
Oct 2007 - Jul 2011 (3 years, 9 months)
Various modules taught and tutored, including: Sequences and Series, Mathematics for Mechanical Engineers 1, 2 & 3, Computer applications in Mathematics (computer language: Maple). Range of class sizes lead from 1 to 50+. Learned to prepare and plan. The role involved demonstrating key aspects of the model and leading the students through problems. Identifying students' strengths / weaknesses - adapting teaching methods as appropriate. I developed my communication skills to effectively interact wi
Education
PhD Mathemaics
(4 years)
MMath
(4 years)
Qualifications
phd
loughborough university
2012
Publications
Refraction of dispersive shock waves
phisica d
We study a dispersive counterpart of the classical gas dynamics problem of the interaction of a shock wave with a counter-propagating simple rarefaction wave, often referred to as the shock wave refraction. The refraction of a one-dimensional dispersive shock wave (DSW) due to its head-on collision with the centred rarefaction wave (RW) is considered in the framework of the defocusing nonlinear Schrödinger (NLS) equation. For the integrable cubic nonlinearity case we present a full asymptotic descripti
Transcritical flow of a Bose-Einstein condensate through a penetrable barrier
Physical Review A
The problem of the transcritical flow of a Bose-Einstein condensate through a wide repulsive penetrable barrier is studied analytically using the combination of the locally steady "hydraulic" solution of the one-dimensional Gross-Pitaevskii equation and the solutions of the Whitham modulation equations describing the resolution of the upstream and downstream discontinuities through dispersive shocks. It is shown that within the physically reasonable range of parameters, the downstream dispersive
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