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Scopus Author ID: 36115762600
SciProfiles: 2748667
Loop profile: 2413085

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Employment (5)

S.P. Timoshenko Institute of Mechanics: Kyiv, UA

2024-12 to present | Senior Researcher (Department of materials fracture mechanics)
Employment
Source: Self-asserted source
Nataliya Vasylyeva

Institute of Applied Mathematics and Mechanics of NASU: Sloviansk, UA

2016-02-01 to present | Senior Researcher
Employment
Source: Self-asserted source
Nataliya Vasylyeva

Institut gidromehaniki Nacional'na akademia nauk Ukraini: Kiiv, UA

2021-02-01 to 2022-04-26 | Senior Researcher
Employment
Source: Self-asserted source
Nataliya Vasylyeva

Institute of Mathematics of NASU: Kyiv, UA

2014-12-01 to 2016-01-31 | Researcher
Employment
Source: Self-asserted source
Nataliya Vasylyeva

Institute of Applied Mathematics and Mechanics NASU: DONETSK, UA

2002-01-01 to 2014-11-17 | Researcher (Mathematical Physics)
Employment
Source: Self-asserted source
Nataliya Vasylyeva

Education and qualifications (1)

Institute of Applied Mathematics and Mechanics National Academy of Sciences of Ukraine: Donetsk, Donetsk, UA

1998-11-30 to 2001-11-01 | PhD in Math (Mathematical Physics)
Education
Source: Self-asserted source
Nataliya Vasylyeva

Works (38)

Identification of the Memory Order in Multi-Term Semilinear Subdiffusion

Numerical Functional Analysis and Optimization
2025-02-17 | Journal article
DOI: 10.1080/01630563.2024.2447247
Contributors: Sergei Pereverzyev; Sergii V. Siryk; Nataliya Vasylyeva
Source: check_circle
Crossref

Longtime behavior of semilinear multi-term fractional in time diffusion

Journal of Elliptic and Parabolic Equations
2024-06 | Journal article
DOI: 10.1007/s41808-024-00276-6
Contributors: Nataliya Vasylyeva
Source: check_circle
Crossref

On a class of functional difference equations: explicit solutions, asymptotic behavior and applications

Aequationes mathematicae
2024-02 | Journal article
DOI: 10.1007/s00010-023-01022-4
Contributors: Nataliya Vasylyeva
Source: check_circle
Crossref

Initial-boundary value problems for conservative Kimura-type equations: solvability, asymptotic and conservation law

Journal of Evolution Equations
2023-03 | Journal article
DOI: 10.1007/s00028-023-00869-z
Contributors: Marina Chugunova; Roman Taranets; Nataliya Vasylyeva
Source: check_circle
Crossref

Cauchy–Dirichlet Problem to Semilinear Multi-Term Fractional Differential Equations

Fractal and Fractional
2023-03-09 | Journal article
DOI: 10.3390/fractalfract7030249
Contributors: Nataliya Vasylyeva
Source: check_circle
Crossref
grade
Preferred source (of 2)‎

Description of non-isothermal crystallization kinetics of Fe48Co32P14B6 metallic glass using the isothermal analysis data

Acta Materialia
2023-01 | Journal article
DOI: 10.1016/j.actamat.2022.118558
Contributors: S.V. Vasiliev; K.A. Svyrydova; N.V. Vasylyeva; V.I. Tkatch
Source: check_circle
Crossref

Existence and Stability Analysis of Solutions for an Ultradian Glucocorticoid Rhythmicity and Acute Stress Model

Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics
2021 | Book chapter
DOI: 10.1007/978-3-030-50302-4_8
Part of ISBN: 9783030503017
Part of ISBN: 9783030503024
Part of ISSN: 1860-0832
Part of ISSN: 1860-0840
Source: Self-asserted source
Nataliya Vasylyeva

Mixed Dirichlet-Transmission Problems in Non-smooth Domains

Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics
2021 | Book chapter
DOI: 10.1007/978-3-030-50302-4_9
Part of ISBN: 9783030503017
Part of ISBN: 9783030503024
Part of ISSN: 1860-0832
Part of ISSN: 1860-0840
Source: Self-asserted source
Nataliya Vasylyeva

Equivalent definitions of Caputo derivatives and applications to subdiffusion equations

Dynamics of Partial Differential Equations
2020 | Journal article
DOI: 10.4310/dpde.2020.v17.n4.a4
Part of ISSN: 1548-159X
Part of ISSN: 2163-7873
Source: Self-asserted source
Nataliya Vasylyeva

Regularized Reconstruction of the Order in Semilinear Subdiffusion with Memory

Springer Proceedings in Mathematics & Statistics
2020 | Book chapter
DOI: 10.1007/978-981-15-1592-7_10
Part of ISBN: 9789811515910
Part of ISBN: 9789811515927
Part of ISSN: 2194-1009
Part of ISSN: 2194-1017
Source: Self-asserted source
Nataliya Vasylyeva

Asymptotic analysis of a contact Hele-Shaw problem in a thin domain

Nonlinear Differential Equations and Applications NoDEA
2020-10 | Journal article
DOI: 10.1007/s00030-020-00651-x
Part of ISSN: 1021-9722
Part of ISSN: 1420-9004
Source: Self-asserted source
Nataliya Vasylyeva

A subdiffusive Navier–Stokes–Voigt system

Physica D: Nonlinear Phenomena
2020-08 | Journal article
DOI: 10.1016/j.physd.2020.132503
Part of ISSN: 0167-2789
Source: Self-asserted source
Nataliya Vasylyeva

Determination of the fractional order in semilinear subdiffusion equations

Fractional Calculus and Applied Analysis
2020-06-25 | Journal article
DOI: 10.1515/fca-2020-0035
Part of ISSN: 1314-2224
Part of ISSN: 1311-0454
Source: Self-asserted source
Nataliya Vasylyeva

Asymptotic analysis of a contact Hele-Shaw problem in a thin domain

2020-03-19 | Preprint
ARXIV: arXiv:2003.08675v1
Source: Self-asserted source
Nataliya Vasylyeva

Semilinear subdiffusion with memory in multidimensional domains

Mathematische Nachrichten
2019-07 | Journal article
DOI: 10.1002/mana.201700405
Part of ISSN: 0025-584X
Part of ISSN: 1522-2616
Source: Self-asserted source
Nataliya Vasylyeva

Existence and stability analysis of solutions for a ultradian glucocorticoid rhythmicity and acute stress model

2019-04-18 | Preprint
ARXIV: arXiv:1904.09012v1
Source: Self-asserted source
Nataliya Vasylyeva

Boundary Value Problems Governed by Superdiffusion in the Right Angle: Existence and Regularity

Journal of Mathematics
2018-12-02 | Journal article
DOI: 10.1155/2018/5395124
Contributors: Ramzet Dzhafarov; Nataliya Vasylyeva
Source: check_circle
Crossref

Semilinear subdiffusion with memory in the one-dimensional case

Nonlinear Analysis, Theory, Methods and Applications
2017 | Journal article
DOI: 10.1016/j.na.2017.09.004
EID:

2-s2.0-85030855186
Contributors: Krasnoschok, M.; Pata, V.; Vasylyeva, N.
Source: Self-asserted source
Nataliya Vasylyeva via Scopus - Elsevier

Solvability of a linear system with a nonlocal term in a boundary condition

Fractional Differential Calculus
2017 | Journal article
DOI: http://dx.doi.org/10.7153/fdc-2017-07-07
Source: Self-asserted source
Nataliya Vasylyeva

The Hele-Shaw problem with surface tension in the case of subdiffusion

Communications on Pure and Applied Analysis
2016 | Journal article
DOI: 10.3934/cpaa.2016.15.1941
EID:

2-s2.0-84977604545
Contributors: Vasylyeva, N.; Overko, V.
Source: Self-asserted source
Nataliya Vasylyeva via Scopus - Elsevier

Local Solvability of a Linear System with a Fractional Derivative in Time in a Boundary Condition

Fractional Calculus and Applied Analysis
2015 | Journal article
DOI: 10.1515/fca-2015-0058
EID:

2-s2.0-84939126435
Contributors: Vasylyeva, N.
Source: Self-asserted source
Nataliya Vasylyeva via Scopus - Elsevier

On a multidimensional moving boundary problem governed by anomalous diffusion: analytical and numerical study

Nonlinear Differential Equations and Applications
2015 | Journal article
DOI: 10.1007/s00030-014-0295-9
EID:

2-s2.0-84939562915
Contributors: Vasylyeva, N.; Vynnytska, L.
Source: Self-asserted source
Nataliya Vasylyeva via Scopus - Elsevier

On the local solvability of the two-dimensional Hele-Shaw problem with fractional derivative with respect to time

Siberian Advances in Mathematics
2015 | Journal article
DOI: 10.3103/S1055134415040057
EID:

2-s2.0-84948690512
Contributors: Vasil’eva, N.V.; Krasnoshchek, N.V.
Source: Self-asserted source
Nataliya Vasylyeva via Scopus - Elsevier

ON A LOCAL SOLVABILITY OF THE MULTIDIMENSIONAL MUSKAT PROBLEM WITH A FRACTIONAL DERIVATIVE IN TIME ON THE BOUNDARY CONDITION

Fractional differential calculus
2014 | Journal article
DOI: dx.doi.org/10.7153/fdc-04-06
Source: Self-asserted source
Nataliya Vasylyeva

On a nonclassical fractional boundary-value problem for the Laplace operator

Journal of Differential Equations
2014 | Journal article
DOI: 10.1016/j.jde.2014.05.022
EID:

2-s2.0-84903765327
Contributors: Krasnoschok, M.; Vasylyeva, N.
Source: Self-asserted source
Nataliya Vasylyeva via Scopus - Elsevier

The two-phase hele-shaw problem with a nonregular initial interface and without surface tension

Journal of Mathematical Physics, Analysis, Geometry
2014 | Journal article
DOI: 10.15407/mag10.01.003
EID:

2-s2.0-84892764232
Contributors: Bazaliy, B.V.; Vasylyeva, N.
Source: Self-asserted source
Nataliya Vasylyeva via Scopus - Elsevier

Existence and Uniqueness of the Solutions for Some Initial-Boundary Value Problems with the Fractional Dynamic Boundary Condition

International Journal of Partial Differential Equations
2013 | Journal article
DOI: http://dx.doi.org/10.1155/2013/796430
Source: Self-asserted source
Nataliya Vasylyeva
grade
Preferred source (of 2)‎

On a solvability of a nonlinear fractional reaction-diffusion system in the Hölder spaces

Nonlinear Studies
2013 | Journal article
EID:

2-s2.0-84891803832
Contributors: Krasnoschok, M.; Vasylyeva, N.
Source: Self-asserted source
Nataliya Vasylyeva via Scopus - Elsevier

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
2012 | Journal article
DOI: 10.1016/j.jmaa.2012.03.023
EID:

2-s2.0-84860914910
Contributors: Bazaliy, B.V.; Vasylyeva, N.
Source: Self-asserted source
Nataliya Vasylyeva via Scopus - Elsevier

The Mullins-Sekerka problem with surface tension and a nonregular initial interface

Nelineĭn. Granichnye Zadachi
2012 | Journal article
ISSN: -0236-0497
Source: Self-asserted source
Nataliya Vasylyeva
grade
Preferred source (of 2)‎

The Muskat problem with surface tension and a nonregular initial interface

Nonlinear Analysis, Theory, Methods and Applications
2011 | Journal article
DOI: 10.1016/j.na.2011.05.087
EID:

2-s2.0-80051587392
Contributors: Bazaliy, B.V.; Vasylyeva, N.
Source: Self-asserted source
Nataliya Vasylyeva via Scopus - Elsevier

Initial-boundary value problems in a plane corner for the heat equation

Electronic Journal of Differential Equations
2010 | Journal article
EID:

2-s2.0-77955448701
Contributors: Bazaliy, B.V.; Vasylyeva, N.
Source: Self-asserted source
Nataliya Vasylyeva via Scopus - Elsevier

The transmission problem in domains with a corner point for the Laplace operator in weighted Hölder spaces

Journal of Differential Equations
2010 | Journal article
DOI: 10.1016/j.jde.2010.06.003
EID:

2-s2.0-77956268979
Contributors: Bazaliy, B.V.; Vasylyeva, N.
Source: Self-asserted source
Nataliya Vasylyeva via Scopus - Elsevier

On the existence of smooth solutions in the problem of Hele-Shaw flows in nonsmooth domains

Nelineĭn. Granichnye Zadachi
2009 | Journal article
MR: MR2830651 (2012d:35421)
Source: Self-asserted source
Nataliya Vasylyeva

On the solvability of some nonclassical boundary-value problem for the laplace equation in the plane corner

Advances in Differential Equations
2007 | Journal article
EID:

2-s2.0-84860917031
Contributors: Vasylyeva, N.
Source: Self-asserted source
Nataliya Vasylyeva via Scopus - Elsevier

On the solvability of the Hele-Shaw problem in the case of irregular initial data in weighted Hölder classes

Ukr. Math. Bull.
2005 | Journal article
MR: MR2325891 (2008e:35215)
Source: Self-asserted source
Nataliya Vasylyeva

On a linear boundary value problem with higher derivatives in the boundary condition arising in the investigation of the Hele-Shaw problem with an irregular boundary.

Tr. Inst. Prikl. Mat. Mekh.
2002 | Journal article
MR: MR2141797 (2006a:35323)
Source: Self-asserted source
Nataliya Vasylyeva

ON the solvability of the hele-shaw model problem in weighted holder spaces in a plane angle

Ukrainian Mathematical Journal
2000 | Journal article
EID:

2-s2.0-24144500573
Contributors: Bazalii, B.V.; Vasil'Eva, N.V.
Source: Self-asserted source
Nataliya Vasylyeva via Scopus - Elsevier
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