Maria Kazakova
Post Doctoral researcher
(ENSTA, ParisTech)
17 January 1990
Palaiseau, France
Research activities
Maxwell's equations
#Perfectly Matched Layers · Anisotropy
Fluid mechanics
#Dispersive models of wave propagation · Modelling · Numerical simulation
#Two-phased flow modelling · modeling hydraulic fracturing process
#Group analysis of PDEs · Exact solutions for the gas and water flow models
IT Skills
#Software
LaTeX, Office
#Programming
Interpreted languages
· MATLAB · Python
Compiled languages
· C++ · Fortran
Symbolic calculation
· Wolphram Mathematica
#OS
· MacOS · Windows · Unix/Linux
Languages
The french version is available here. Education
2015 - 2018
Ph.D. in Applied Mathematics
Dispersive models of ocean waves propagation: Numerical issues and modelling.
IMT,UPS,Toulouse,FRANCE
2013-2015
Young scientific researcher
Majoring in Fluid Mechanics.
LIH SB RAS, Novosibirsk, RUSSIA
2011-2013
M.S. in Mechanics and mathematical modeling
Majoring in Fluid Mechanics.
NSU, Novosibirsk, RUSSIA
2007-2011
B.S. in Mechanics
Specializing in mathematics and mechanics.
NSU, Novosibirsk, RUSSIA
Education
2015 - 2018
Ph.D. in Applied Mathematics
Dispersive models of ocean waves propagation: Numerical issues and modelling.
IMT,UPS,Toulouse,FRANCE
2013-2015
Young scientific researcher
Majoring in Fluid Mechanics.
LIH SB RAS, Novosibirsk, RUSSIA
2011-2013
M.S. in Mechanics and mathematical modeling
Majoring in Fluid Mechanics.
NSU, Novosibirsk, RUSSIA
2007-2011
B.S. in Mechanics
Specializing in mathematics and mechanics.
NSU, Novosibirsk, RUSSIA
Research Experience
PhD Topic
Disspersive model of wave propagation: Numerical issue and Modeling
Mathematical derivation of wave propagation dispersive model in the presence of vorticity and numerical study (Discrete transparent boundary conditions, Perfectly Matched Layers)
LIH SB RAS
Problems with multidimensional fronts of strong discontinuities in the simulation of fluid flow in the channels and layers
Numerical study of 1D and 2D two-phased model for step of hydraulic fracturing process.
Master
Symmetries and exact solutions of the model of dynamic convection of the sea
Construction and classification of exact solution of the model of dynamic convection of the sea by Lie group analysis methods.
Bachelor
Diploma Theme: Transonic gas flow with non-planar shock waves
Analysis of the invariant solutions of Karman-Guderley equation to describe three-dimensional gas flow with non-planar shock surfaces.
Publications
accepted
M. Yu. Kazakova, G. Richard, A new model of shoaling and breaking waves:
A new model of shoaling and breaking waves: One-dimensional solitary wave on a mild sloping beach, //J. Fluid Mechanics (to appear)
hal.
submitted
M. Yu. Kazakova, P. Noble, Discrete transparent boundary conditions for the linearized Green-Naghdi system of equations,
hal.
2017
S. V. Golovin, M. Yu. Kazakova, One-dimensional model of two-phase fluid displacement in a slot with permeable walls
//J.Appl.Mech.Tech.Phys.,I.1,V.58,17-30, journal.
2016
M. Yu. Kazakova, P. Noble, Two layer asymptotic model for the wave propagation in the presence of vorticity
//J.Phys.:Conf.Ser.722(1):012017,
journal.
2014
S. L. Gavrilyuk, M. Yu. Kazakova, Hydraulic jumps in two-layer flows with a free surface
//J.Appl.Mech.Tech.Phys.,I.2,V.55,209-219, journal.
2014
M. Yu. Kazakova, Transonic gas flow with non-planar shock waves
//J.Math.Sci.,NewYork,Vol.203,No.4,499-508, journal.
2012
S. V. Golovin, M. Yu. Kazakova, Symmetries and exact solutions of the model of dynamic convection of the sea
//Ufimsk.Mat.Zh.,4:4,79-90, pdf.
Awards
2018-2020
Post Doctoral funding of Labex Mathématiques Hadamard (LMH)// Mathématiques et Ingénierie
2013-2014
Schlumberger Student Scholarship
2012
Professor V. N. Vragov Scholarship for investigations in Differential Equations field
Conferences and Schools
2018
Shark-FV (Sharing Higher-order Advanced Know-how on Finite Volume)
M. Kazakova, G. Richard, A. Duran, Modelling shoaling and breaking waves on a mild sloping beach.
Mihno, Portugal
2017
School : Semaines d’Etude Maths-Entreprises
Project : Echantillonnage numérique d’une fonction modélisant les états de mer dans la procédure de conception d’une éolienne offshore.
Paris, France
2017
Dispersive hydrodynamics and oceanography: from experiments to theory
M. Yu. Kazakova, P. Noble, Discrete transparent boundary conditions for the linearized Green-Naghdi system of equations.
LesHouches, France
2017
Ecoulements Gravitaires et RIsques Naturels
M. Yu. Kazakova, P. Noble, Discrete transparent boundary conditions for the linearized Green-Naghdi system of equations.
Cargèse, France
2014
School : CEMRACS, Numerical Modeling of Pasmas
Project : FuMHDMoX: Full MHD 3D modeling for X-point geometry.
Marseille, France
2014
“New mathematical models of continuum mechanics: Construction and investigation"
S. L. Gavrilyuk, M. Yu. Kazakova Hydraulic jumps in two-layer flows with a free surface.
Novosibirsk, Russia
2011
Russian-French Workshop “Mathematical Hydrodynamics”
S. V. Golovin, M. Yu. Kazakova Symmetries and exact solutions of the model of dynamic convection of the sea.
Irkutsk, Russia
Teaching Experience
2016-2018
Institut National des Sciences Appliquées, Toulouse (L3)
Numerical Analysis & Optimisation: Practical exercises
(34 hours per year)
- Polynomial interpolations
- Numerical integration
- Numerical errors
- Linear/nonlinear system resolution (LU, Cholesky decomposition, fixed point, Newton method)
- Optimisation : Introduction, Least squares, gradient method
Institut National des Sciences Appliquées, Toulouse (L3)
Numerical Analysis: Practical exercises (34 hours per year)
- Numerical errors
- Numerical integration
- Root-finding methods (Bisection method, Newton method)
- Linear system resolution (Lu decomposition, Jacobi method)
- Numerical resolution of ODE system
2018
Université Paul Sabatier, Toulouse (L3)
Oral tests (khôlles) (10 hours in total)
- Abstract algebra: group theory - 7h
- Ordinary differential equation - 3h