Selected Publications:
- D. Dantchev, V.M. Vassilev, P.A. Djondjorov, Analytical results for the Casimir force in a Ginzburg-Landau type model of a film with strongly adsorbing competing walls. Physica A. 510 (2018) 302–315.
- Vassil M. Vassilev, Peter A. Djondjorov, Mariana Ts. Hadzhilazova, Ivailo M. Mladenov. Analytical Representations of Willmore and Generalized Willmore Surfaces, Chapter 3 in "Willmore Energy and Willmore Conjecture", pp. 49–83, Chapman & Hall/CRC Monographs and Research Notes in Mathematics, October 13, 2017 by Chapman and Hall/CRC.
- Dantchev D.M., Vassilev V.M., Djondjorov P.A. Exact results for the behavior of the thermodynamic Casimir force in a model with a strong adsorption. Journal of Statistical Mechanics: Theory and Experiment 093209, Issue 9, 2016.
- Dantchev D.M., Vassilev V.M., Djondjorov P.A. Exact results for the temperature-field behavior of the Ginzburg–Landau Ising type mean-field model. Journal of Statistical Mechanics: Theory and Experiment P08025, Issue 8, 2015.
- Valchev G.S., Vassilev V.M., Djondjorov P.A. On different models describing the equilibrium shape of erythrocyte. Bulgarian Chemical Communications 47, Special Issue B (84–94), 2015.
- Ivanova Y.P., Vassilev V.M., Djondjorov P.A. Djoumaliisky S.L., Experimental-theoretical approach to the identification of effective sound attenuation panels from recycled materials. Bulgarian Chemical Communications 47, Special Issue B (442–449), 2015.
- Mladenov I.M., Djondjorov P.A., Hadzhilazova M.Ts., Vassilev V.M. Equilibrium Configurations of Lipid Bilayer Membranes and Carbon Nanostructures, Communications in Theoretical Physics 59, No. 2, 213–228, 2013.
- Mladenov I.M., Hadzhilazova M.Ts., Vassilev V.M., Djondjorov P.A. Unduloid-like Equilibrium Shapes of Carbon Nanotubes Subjected to Hydrostatic Pressure, Geometric Methods in Physics, Springer Basel, XXXI Workshop 2012 Trends in Mathematics, 195–202, 2013.
- Djondjorov P.A., Vassilev V.M., Mladenov I.M. Deformation of injected vesicles adhering onto flat rigid substrates. Computers and Mathematics with Applications 64, 214–220, 2012.
- Djondjorov P.A., Vassilev V.M., Mladenov I.M. Analytic description and explicit parametrisation of the equilibrium shapes of elastic rings and tubes under uniform hydrostatic pressure. International Journal of Mechanical Sciences 53, 355–364, 2011.
- Mladenov I.M., Hadzhilazova M.Ts., Djondjorov P.A., Vassilev V.M. On the generalized Sturmian spirals. Comptes rendus de l’Acad´emie bulgare des Sciences Tome 64, No 5, 633–640, 2011.
- Vassilev V.M., Djondjorov P.A., Hadzhilazova M.Ts., Mladenov I.M. Traveling wave solutions of the Gardner equation and motion of plane curves governed by the mKdV flow. AIP Conference Proceedings 1404, 86-93, 2011.
- Djondjorov P.A., Hadzhilazova M.Ts., Mladenov I.M., Vassilev V.M. Beyond Delaunay surfaces. Journal of Geometry and Symmetry in Physics 18, 1–11, 2010.
- Djondjorov P.A., Vassilev V.M., Mladenov I.M. Junctions between carbon nanotubes and flat graphene sheets or co-axial carbon nanotubes. Comptes rendus de l’Acad´emie bulgare des Sciences Tome 62, No 7, 805–810, 2009.
- Vassilev V.M., Djondjorov P.A., Mladenov I.M. Integrable dynamical systems of the Frenet-Serret type, Trends in Differential Geometry, Complex Analysis and Mathematical Physics (Proc. 9th International Workshop on Complex Structures, Integrability and Vector Fields), World Scientific - Singapore, 234–244, 2009.
- Djondjorov P.A., Vassilev V.M., Mladenov I.M. Plane curves associated with integrable dynamical systems of the Frenet-Serret type, Trends in Differential Geometry, Complex Analysis and Mathematical Physics (Proc. 9th International Workshop on Complex Structures, Integrability and Vector Fields), World Scientific – Singapore, 56–62, 2009.
- Vassilev V.M., Djondjorov P.A., Mladenov I.M. Cylindrical equilibrium shapes of fluid membranes, Journal of Physics A: Mathematical and Theoretical 41, 435201, 2008.
- Djondjorov P.A., Vassilev V.M. On the dynamic stability of a cantilever under tangential follower force according to Timoshenko beam theory, Journal of Sound and Vibration 311, Issues 3–5, 1431–1437, 2008.
- Vassilev V.M., Djondjorov P.A. Dynamic stability of viscoelastic pipes on elastic foundations of variable modulus. Journal of Sound and Vibration 297, Issues 1–2, 414–419, 2006.
- Vassilev V.M., Djondjorov P.A. Application of Lie transformation group methods to classical linear theories of rods and plates. International Journal of Solids and Structures 40, Issue 6, 1585–1614, 2003.
- Djondjorov P.A., Vassilev V.M., Dzhupanov V.A. Dynamic stability of fluid conveying cantilevered pipes on elastic foundations. Journal of Sound and Vibration 247, Issue 3, 537–546, 2001.
- Djondjorov P.A., Vassilev V.M. Conservation laws and group-invariant solutions of the von Kármán equations. International Journal of Non-Linear Mechanics 31, 73–87, 1996.
- Djondjorov P.A. Invariant properties of Timoshenko beam equations. International Journal of Engineering Science 33, 2103–2114, 1995.
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