Theoretical and Numerical Investigation of Nonlinear Mathematical Models

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Publications:

D.Shopova, M.D.Todorov, Phenomenological Description of Anisotropy Effects in Some Ferromagnetic Superconductors,
Physics Letters A, 379 (2015), 1391-1396 (IF 1.626) (see also arXiv:1411.1748 [cond-mat.supr-con]).

N. Kutev, N. Kolkovska, M. Dimova, Finite time blow up of the solutions to nonlinear Klein-Gordon equation with arbitrary high positive initial energy,
Serdica Mathematical Journal 41 (2015).

I. Bazhlekov, D. Vasileva, Numerical modeling of drop coalescence in the presence of soluble surfactants,
Journal of Computational and Applied Mathematics 293 (2016), 7-19 (IF 1.077).

E. Bazhlekova, Completely monotone functions and some classes of fractional evolution equations,
Integral Transforms and Special Functions 26 (2015), 737-752 (IF 0.814) (see also arXiv:1502.04647 [math.AP]).

N. Kutev, N. Kolkovska, M. Dimova, Sign-preserving functionals and blow-up to Klein–Gordon equation with arbitrary high energy,
Applicable Analysis (IF 0.684). In press, available online 08 May 2015.

E. Bazhlekova, Subordination Principle for a Class of Fractional Order Differential Equations,
Mathematics, 3(2), 2015, 412-427.

N. Kutev, N. Kolkovska, M. Dimova, Revised concavity method and applications to nonlinear dispersive equations,
Scientific Reports of the Institute of Mathematics and Informatics - Bulgarian Academy of Sciences, 2/2015, ISSN 1314-541X.

T. Chernogorova, I. Dimov, L. Vulkov, A Splitting Numerical Method for Primary and Secondary Pollutant Models,
to appear in Lecture Notes in Computer Science (SJR 0.339).

T. Chernogorova, L. Vulkov, On the Numerical Modeling of Pollution in Air, Water and Soil,
Proc. of the Fifth International Conference Research People and Actual Tasks on Multidisciplinary Sciences, 24 – 28 June 2015, Lozenec, Bulgaria, Publisher: Bulgarian National Multidisciplinary Scientific Network of the Professional Society for Research work, vol. 2, pp.117-121.

Ang. Liolios, A. Karabinis, Ast. Liolios, St. Radev, K. Georgiev, I. Georgiev, A computational approach for the seismic damage response under multiple earthquakes excitations of adjacent RC structures strengthened by ties,
to appear in Computers and Mathematics with Applications (IF 1.697).

E. Bazhlekova, I. Bazhlekov, On the Rayleigh-Stokes problem for generalized fractional Oldroyd-B fluids,
AIP Conference Proceedings, 1684, 080001, 2015 (SJR 0.152).

M.A. Christou, A.C. Polycarpou, Closed-form near-field expressions for electromagnetic scattering by an electrically small circular aperture on a conducting screen,
AIP Conference Proceedings, 1684, 080003, 2015 (SJR 0.152).

D.A. Georgieva, L.M. Kovachev, Merging and energy exchange between optical filaments,
AIP Conference Proceedings, 1684, 080005, 2015 (SJR 0.152).

V.S. Gerdjikov, M.D. Todorov, A.V. Kyuldjiev, Polarization effects in modeling soliton interactions of the Manakov model,
AIP Conference Proceedings, 1684, 080006, 2015 (SJR 0.152).

N. Kolkovska, K. Angelow, Numerical computation of the critical energy constant for two-dimensional Boussinesq equations,
AIP Conference Proceedings, 1684, 080007, 2015 (SJR 0.152).

N. Kolkovska, M. Dimova, N. Kutev, Generalized Nehari functionals and finite time blow up of the solutions to Boussinesq equation,
AIP Conference Proceedings, 1684, 080008, 2015 (SJR 0.152).

D. Vasileva, I. Bazhlekov, E. Bazhlekova, Alternating direction implicit schemes for two-dimensional generalized fractional Oldroyd-B fluids,
AIP Conference Proceedings, 1684, 0800014, 2015 (SJR 0.152).

S. Dimova, Ts. Bazlyankov, Numerical methods for Hamiltonian systems: Implementation and comparison,
AIP Conference Proceedings, 1684, 090002, 2015 (SJR 0.152).

N.C. Papanicolaou, A.C. Aristotelous, High-order discontinuous Galerkin methods for coupled thermoconvective flows under gravity modulation,
AIP Conference Proceedings, 1684, 090010, 2015 (SJR 0.152).

N. Kutev, N. Kolkovska, M. Dimova, Nonexistence of global solutions to new ordinary differential inequality and applications to nonlinear dispersive equations,
to appear in Mathematical Methods in the Applied Sciences (IF 0.918).

N. Kolkovska, Numerical Evaluation of 2D Ground States,
to appear in EPJ Web of Conferences Journal, 2015.

D. Vasileva, I. Bazhlekov, E. Ayryan, E. Bazhlekova, A compact alternating direction implicit scheme for two-dimensional fractional Oldroyd-B fluids,
to appear in Pliska Studia Mathematica Bulgarica.

 

 

 

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