American Journal of Computational and Applied Mathematics

American Journal of Computational and Applied Mathematics is a peer-reviewed international journal. This journal publishes significant research papers from all branches of applied mathematical and computational sciences. It publishes original papers of high scientific value in all areas of computational and applied mathematics.

Nataliya Vasylyeva

Editorial Board Member of American Journal of Computational and Applied Mathematics

Research Scientist, Institute of Applied Mathematics & Mechanics of NASU, Ukraine

Research Areas

Mathematics, Partial Differential Equations, Free Boundary Problems

Education

2003PhD in MathematicsInstitute of Applied Mathematics and Mechanics of National Academy of Sciences of Ukraine, Donetsk
1998Master of SciencesDonetsk State University

Experience

2006-presentResearcher at the Department of Mathematical Physics at the Institute of Applied Mathematics and Mechanics of National Academy of Sciences of Ukraine, Donetsk
2007Research visitor to Nottingham University, School of Mathematical Sciences Division of Applied Mathematics University of Nottingham, UK
2007Research visitor to OCIAM, Oxford, UK
2006-2007Postdoctoral position at the Max Plank Institute for Mathematics in the Sciences, Leipzig, Germany
2004-2006Adjunct Lecturer (concurrently) at the Physics Department of Donetsk National University
2003-2006Junior Researcher at the Department of Mathematical Physics at the Institute of Applied Mathematics and Mechanics of National Academy of Sciences of Ukraine, Donetsk
2001-2003Engineer at the Department of Mathematical Physics at the Institute of Applied Mathematics and Mechanics of National Academy of Sciences of Ukraine, Donetsk
2001-2002Assistant Professor (concurrently) at the Department of Mathematics at Donbass State Academy of Building and Architecture

Publications: Conferences/Workshops/Symposiums/Journals/Books

[1]  N. Vasylyeva, On the solvability of the Hele-Shaw problem in the case of nonsmooth initial data in weighted Hölder classes. UMB 2 №3 (2005) pp. 323-349.(Russian and English).
[2]  N. Vasylyeva, On the solvability of some nonclassical boundary-value problem for the Laplace equation in the plane corner. J. Advances in Differential Equations, v.12, n.10 (2007) pp.1167-1200.
[3]  N. Vasylyeva, On existence of smooth solutions in the Hele-Shaw problem in nonsmooth domains, Nonlinear Boundary Problems, v. 19, pp. 12-28, 2009.
[4]  B. Bazaliy, N. Vasylyeva, The initial-boundary value problems in a plane corner for the heat equation, Electronic Journal of Diff. Equations, v. 2010, n. 90, pp. 1-32, 2010.
[5]  B. Bazaliy, N. Vasylyeva, The transmission problem in domains with a corner point for the Laplace operator in weighted Hölder spaces, J. Differential Equations, 249, pp. 2476-2499, 2010.
[6]  B. Bazaliy, N. Vasylyeva, The Muskat problem with surface tension and a nonregular initial interface, Journal of Nonlinear Analysis, v.74, pp. 6074-6096, 2011.