Alexander(Oleksandr) Minakov's Home Page

Research grant holder (ex post doc)

Welcome to my personal home page!

Some useful links: CV

My publications:

  • Marco Bertola, Alexander Minakov, Laguerre polynomials and transitional asymptotics of the modified Korteweg-de Vries equation for step-like initial data, arXiv:1711.02362, PDF https://arxiv.org/pdf/1711.02362.pdf
  • A. Minakov, Asymptotics of step-like solutions for the Camassa-Holm equation, Journal of Differential Equations, Volume 261, Issue 11, 2016, Pages 6055-6098. http://dx.doi.org/10.1016/j.jde.2016.08.028
  • V. Kotlyarov and A. Minakov, Modulated elliptic wave and asymptotic solitons in a shock problem to the modified Korteweg-de Vries equation, J. Phys. A 48 (2015), no. 30, 305201, 35 pp. http://iopscience.iop.org/article/10.1088/1751-8113/48/30/305201/meta
  • A. Minakov, Riemann-Hilbert problem for Camassa-Holm equation with step-like initial data, Journal of Mathematical Analysis and Applications, 2015, Vol. 429, 81-104. http://www.sciencedirect.com/science/article/pii/S0022247X1500284X
  • P. Exner, A. Minakov, Curvature-induced bound states in Robin waveguides and their asymptotical properties, Journal of Mathematical Physics, 2014, Vol. 55, 122101. http://dx.doi.org/10.1063/1.4903184
  • P. Exner, A. Minakov, and L. Parnovski, Asymptotic eigenvalue estimates for a Robin problem with a large parameter, Portugal. Math., 2014, Vol. 71,  2, 141-156. http://www.ems-ph.org/journals/show_abstract.php?issn=0032-5155&vol=71&iss=2&rank=4
  • V. Kotlyarov and A. Minakov, Riemann-Hilbert problems and the mKdV equation with step initial data: short time behavior of solutions and the nonlinear Gibbs-type phenomenon, J.Phys.A.: Math. Theor., 2012, Vol. 45, 325201, 17 p. http://iopscience.iop.org/1751-8121/45/32/325201/
  • V. Kotlyarov and A. Minakov, Step-initial function to the mkdv equation: hyper-elliptic long-time asymptotics of the solution, Journal of mathematical physics, analysis, geometry, 2012, Vol. 8, 1, P. 38-62. http://www.mathnet.ru/links/fd82fc5b40799ebb1df608c94a0e34f0/jmag524.pdf
  • A. Minakov, Long-time behavior of the solution to the mKdV equation with step-like initial data, J.Phys.A.: Math. Theor., 2011, Vol. 44, 085206, 31 p. http://iopscience.iop.org/1751-8121/44/8/085206/
  • A. Minakov, Asymptotics of rarefaction wave solution to the mKdV equation, Journal of mathematical physics, analysis, geometry, 2011, Vol. 7, 1, P. 59-86. http://www.mathnet.ru/links/1c124addab6ef4524dbc0083b48bdb15/jmag166.pdf
  • V. Kotlyarov and A. Minakov, Riemann-Hilbert problem to the modified Korteveg - de Vries equation: Long-time dynamics of the steplike initial data, Journal of Mathematical Physics, 2010, Vol. 51, 093056. http://dx.doi.org/10.1063/1.3470505

  • You can contact me via: ominakov ( at ) sissa.it
    Also address: SISSA, via Bonomea 265, room 710, 34136 TRIESTE, Italy
    Phone number: (+39) 040 3787 855