Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
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Subject:

Direct and inverse problems of mathematical physics and analysis. Mathematical modelling in geophysics and petroleum engineering

Main publications:

1. Priimenko V. I., Vishnevskii M. P., “An identification problem related to the Biot system”, J. Inverse Ill-Posed Problems, 23:3 (2015), 219–230            
2. Priimenko V., Vishnevskii M., “On an initial boundary value problem in nonlinear 3D-magnetoelasticity”, Applied Mathematics Letters, 50 (2015), 23–28            
3. Vicente B. J., Priimenko V. I. and Pires A. P., “Semi-analytical solution for a hyperbolic system modelling 1D polymer slug flow in porous media”, Journal of Petroleum Science and Engineering, 115 (2014), 102–109          
4. Neves W., Priimenko V. and Vishnevskii M., “The Cauchy problem for a nonlinear magneto elastic system in 1-D periodically inhomogeneous media”, Nonlinear Analysis: Real World Applications, 15 (2014), 27–37          
5. Lorenzi A., Priimenko V., “Direct problems for poroelastic waves with fractional derivatives”, SIAM J. MATH. ANAL., 46:3 (2014), 1874–1892          
6. Priimenko V., Vishnevskii M., “Direct problem for a nonlinear evolutionary system”, Nonlinear Analysis, 73 (2010), 1767–1782            
7. Priimenko V., Vishnevskii M., “Nonlinear mathematical problems of electromagnetoelastic interactions”, Nonlinear Analysis Research Trends, eds. Ines N. Roux, Nova Science Publishers, Inc., New York, 2008, 99–155  
8. Priimenko V., Vishnevskii M., “The first initial boundary-value problem for model electromagnetoelasticity system”, Journal of Differential Equations, 235:1 (2007), 277–301        
9. Lavrent'ev M. M., Avdeev A. V., Lavrent'ev M. M., Jr., and Priimenko V. I., Inverse Problems of Mathematical Physics, VSP an imprint of Brill Academic Publishers, Utrecht, Boston, 2003 , 275 pp.    
10. Avdeev A. V., Goruynov E. V., Soboleva O. N. and Priimenko V. I., “Numerical solution of some direct and inverse problems of electromagnetoelasticity”, J. Inverse Ill-Posed Problems, 7:5 (1999), 453–462        
11. Lorenzi A., Priimenko V., “Identification problems related to electro- magneto-elastic interactions”, J. Inv. Ill-Posed Problems, 4:2 (1996), 115–143        

Recent publications

Personal pages:

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Organisations:

• North Fluminense State University Darcy Ribeiro, Rio de Janeiro State, Brazil
• Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk