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

French
English
Russian (native)

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

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

References

Pascal Noble

Professor at Université Paul Sabatier, Toulouse

Page of Pascal Noble

Sergey Gavrilyuk

Professor at the Aix-Marseille University, Marseille

Page of Sergey Gavrilyuk

Sergey Golovin

Deputy director LIH SB RAS, Russia

Page of Sergey Golovin

2018 Maria Kazakova