Васильєва Наталія Володимирівна

Посада: старший науковий співробітник

Вища освіта: 

1998 р. – Диплом спеціаліста з відзнакою за спеціальністю “Математика”, Донецький державний університет;

2003 р. – Диплом кандидата фізико-математичних наук, Інститут прикладної математики і механіки, м. Донецьк.

Науковий ступінь, звання: к.ф.-м.н.

Контакти: e-mails: nataliy_v@yahoo.com

Тематика досліджень

задачі з вільними межами;

якісна теорія нелінійних крайових задач;

еліптичні і параболічні крайові задачі в областях з негладкими межами;

крайові задачі для лінійних і нелінійних диференціальних рівнянь з похідними дробового порядку;

різницеві рівняння.

  1. Vasylyeva, To a symmetrized method in Hele-Shaw problem. Nonlinear Boundary Problem, 10 (2000), 204-208.
  2. V. Bazaliy, N.V. Vasil’eva, On solvability of the model Hele-Shaw problem in weight Holder spaces in a plane corner. Ukr. Math. J., 52 (11), (2000), 1446-1457.
  3. Vasylyeva, On solvability of the Hele-Shaw problem in weighted Hölder spaces in a plane domain with a corner point. Ukr. Math. Bull., 2 (3), (2005), 317-343.
  4. Vasylyeva, On the solvability of some nonclassical boundary-value problem for the Laplace equation in the plane corner. J. Advances and Differential Equations,12 (10), (2007), 1167-1200.
  5. Vasylyeva, On existence of smooth solutions in the Hele-Shaw problem in nonsmooth domains, Nonlinear Boundary Problems, 19 (2009), 12-28.
  6. Bazaliy, N. Vasylyeva, The initial-boundary value problems in a plane corner for the heat equation, Electronic Journal of Diff. Equations,2010 (90), (2010), 1-32.
  7. Bazaliy, N. Vasylyeva, The transmission problem in domains with a corner point for the Laplace operator in weighted Hölder spaces, Journal of Diff. Equations, 249 (2010), 2476-2499.
  8. Bazaliy, N. Vasylyeva, The Muskat problem with surface tension and a nonregular initial interface, Journal of Nonlinear Analysis: Theory, Methods and Applications, 72 (2011), 6074-6096.
  9. Bazaliy, N. Vasylyeva, On the solvability of a transmission problem for the Laplace operator with a dynamic boundary condition on a nonregular interface, Journal of Mathematical Analysis and Applications, 393 (2012), 651-670.
  10. Vasylyeva, The Mullins-Sekerka problem with surface tension and a nonregular initial interface, Nonlinear Boundary Problems, 21 (2012), 165-204.
  11. Vasylyeva, M. Krasnoschok, Existence and uniqueness of the solutions for some initial-boundary value problems with the fractional dynamic boundary condition, International Journal of Partial Diff. Equations, 2013, Article ID 796430,  http://dx.doi.org/10.1155/2013/796430, 2013.
  12. Vasylyeva, M. Krasnoschok, On a solvability of a nonlinear fractional reaction-diffusion system in the Hölder spaces, J. Nonlinear Studies, 20 (4), (2013), 589-619.
  13. Bazaliy, N. Vasylyeva, The two-phase Hele-Shaw problem without surface tension with a nonregular initial interface, J. Math. Phys., Analysis and Geometry, 10(1), (2014), 3-43.
  14. Vasylyeva, M. Krasnoschok, On a nonclassical fractional boundary-value problem for the Laplace operator, Journal of Differential Equations, 257 (6), (2014), 1814-1839.
  15. Vasylyeva, M. Krasnoschok, Local solvability of the two-dimensional Hele-Shaw problem with a fractional derivative in time, Math. Trudy, 17 (2), (2014), 1-30.
  16. Vasylyeva, On a local solvability of the multidimensional Muskat problem with a fractional derivative in time on the boundary condition, Fractional Differential Calculus, 4 (2), (2014), 89-124.
  17. Vasylyeva, L. Vynnytska, A multidimensional moving boundary problem governed by anomalous diffusion: analytical and numerical study, Nonlinear Diff. Equations and Appl. NoDEA, 22 (2015), 543-577.
  18. Vasylyeva, Local solvability of a linear system with a fractional derivative in time in a boundary condition, Fractional Calculus and Applied Analysis,18 (4), (2015), 982-1005.
  19. Overko, N. Vasylyeva, The Hele-Shaw problem with surface tension in the case of subdiffusion, Commun. on Pure and Appl. Analysis,15 (5), (2016), 1941-1974.