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GAVRILYUK Sergey

Sergey GAVRILYUK, Professeur

Sergey GAVRILYUK, Professeur


IUSTI UMR n°7343 - CNRS/Aix-Marseille Université
Dpt de Mécanique
5 rue Enrico Fermi
13453 Marseille cedex 13, France
tel : (+33) (0) 4 91 10 69 17
fax : (+33) (0) 4 91 10 69 69

mèl: sergey.gavrilyuk@univ-amu.fr

Bureau (Office) 311

Research activity :

Solid mechanics :

  • Hyperelasticity, rank-one convexity
  • High-velocity impact phenomena : Taylor impact tests, spallation, penetration phenomena
  • Diffuse solid-fluid interface modelling

Fluid Mechanics :


Partial Differential Equations :

  • Hyperbolic conservation laws
  • Weak solutions of nonconservative hyperbolic equations
  • Variational models and methods in solid and fluid mechanics

 

Current projects:

I am currently a PI on the ANR project SNIHYPER (Simulation Numérique des Impacts HYPERvéloces ; Numerical Modelling of Hypervelocity Impacts, 2015-2018 )

I am currently a co-investigator on

  1. The ANR project BOND (Frontières, Numérique, Dispersion ; Boundaries, Numerics and Dispersion, 2013-2017)
  2. The INRIA project AMoSS (Advanced Modelling on Shear Shallow flows for curved topography: water and granular flows, 2014-2016)

 


Teaching :

  • Ordinary Differential Equations (undergraduate students)
  • Mathematical Methods for physicists (Master students)
  • Variational methods for two-phase modelling (Master students)
  • Wave propagation in continuous media (PhD students)


Recent publications :

2015

  • Gavrilyuk, S. Ndanou S. & Hank, S. One-parameter family of equations of state for isotropic compressible solids, https://hal.archives-ouvertes.fr/hal-01162870
  • Ndanou N., Favrie N. & Gavrilyuk S. The piston problem in hyperelasticity with the stored energy in separable form, Mathematics and Mechanics of Solids, http://mms.sagepub.com/content/early/2015/01/22/1081286514566707.abstract
  • Ndanou S., Favrie N. & Gavrilyuk S. Multi-solid and multi-fluid diffuse interface model: applications to dynamic fracture and fragmentation, J. Comp. Physics, 2015, V. 295, 523-555.
  • Gavrilyuk, S., Kalisch, H. & Horsand, S. A kinematic conservation law in free surface flow, Nonlinearity, 2015, V. 28, N 6, 1805.
  • Richard, G. L. & Gavrilyuk, S. L. Modelling turbulence generation in solitary waves on shear shallow water flows, J. Fluid Mech., 2015 V. 773, pp 49-74.

2014

  • Favrie, N., Gavrilyuk, S., Nkonga, B. & Saurel, R., Sharpening Diffuse Interfaces with Compressible Flow Solvers, Open Journal of Fluid Dynamics, 2014, V. 4, pp. 44-68.
  • Favrie N., Gavrilyuk S. & Ndanou S. A thermodynamically compatible splitting procedure in hyperelasticity, J. Comput. Phys. 2014, V. 270. P. 300–324.
  • Ndanou S., Favrie N. & Gavrilyuk S. Criterion of hyperbolicity in hyperelasticity in the case of the stored energy in separable form, J. Elasticity. 2014, V. 115, Iss. 1. P. 1–25.
  • Gavrilyuk S. L. & Kazakova M. Yu. Hydraulic jumps in two-layer flow with a free surface, J. App. Mech. Tech. Phys. 2014, V. 55, N 2. P. 25–37.

2013

  • Favrie N. & Gavrilyuk S. Dynamic compaction of granular materials, Proc. R. Soc. A. 2013, V. 469. 20130214.
  • Richard G. L. & Gavrilyuk S. L. The classical hydraulic jump in a model of shear shallow water flows, J. Fluid Mech. 2013, V. 725. P. 492–521.

2012

 

  • Richard G. L. & Gavrilyuk S. L. A new model of roll waves: comparison with Brock’s experiments, J. Fluid Mech. 2012, V. 698. P. 374–405.
  • Favrie N. & Gavrilyuk S. Diffuse interface model for compressible fluid – compressible elastic–plastic solid interaction, J. Comput. Phys. 2012. V. 231, Iss. 7. P. 2695–2723.
  • Gavrilyuk S. & Gouin H. Geometric evolution of the Reynolds stress tensor, Int. J. Engng. Sci. 2012. V. 59 P. 65–73.


2011

  • Forestier A. & Gavrilyuk S. Criterion of hyperbolicity for non-conservative quasilinear systems admitting a partially convex conservation law // Math. Methods Appl. Sci. 2011, V. 34, Iss. 17. P. 2148–2158.
  • Favrie N. & Gavrilyuk S. Mathematical and numerical model for nonlinear viscoplasticity // Philos. Trans. R. Soc. A: Math. Phys. Eng. Sci. 2011, V. 369, Iss. 1947. P. 2864–2880.

2010

  • Le Metayer O., Gavrilyuk S. & Hank S. A numerical scheme for the Green–Naghdi model // J. Comput. Physics. 2010, V. 229, Iss. 6. P. 2034–2045.
  • Saurel R., Favrie N., Petitpas F., Lallemand M.-H. & Gavrilyuk S. L. Modelling dynamic and irreversible powder compaction, J. Fluid Mech. 2010, V. 664. P. 348–396.
  • Madeo A. & Gavrilyuk S. Propagation of acoustic waves in porous media and their reflection and transmission at a pure-fluid/porous-medium permeable interface // Europ. J. Mech. A/Solids. 2010, V. 29, Iss. 5. P. 897–910.
  • Chemetov N. V., Cipriano F. & Gavrilyuk S. Shallow water model for lakes with friction and penetration. Math. Methods Appl. Sci, 2010. V. 33, Iss. 6. P. 687–703.

 

 

 



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