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Vassil Mitev Vassilev


Department: Solid Mechanics

Room number: 220

Phone: +359 2 979 6478


Scientific degrees, institution, year:


Ph.D., Institute of Mechanics,
Bulgarian Academy of Sciences, 1992.

Fields of Research:


Lie group analysis of ODEs and PDEs: group-invariant solutions and conservation laws; dynamics and stability of elastic rods, plates, shells and membranes;

Extended Information

Scopus Author ID: 7004365301


Recent Publications:

  • Nikolov, S. G., V. M. Vassilev: Completely Integrable Dynamical Systems of Hopf-Langford Type, Communications in Nonlinear Science and Numerical Simulation 92 (2021) 104464.

  • Nikolov, S. G., V. M. Vassilev: Assessing the non-linear dynamics of a Hopf–Langford type system. Mathematics 9(18) 2340 (2021)

  • Nikolov, S. G., V. M. Vassilev: Dynamics of Rossler Prototype-4 System: Analytical and Numerical Investigation. Mathematics 9(4) 352 (2021)

  • Valchev, P. A. Djondjorov, V. M. Vassilev, D. M. Dantchev: Behavior of the Van der Waals Force Between a Plate and a Single-Walled Carbon Nanotube Under Uniform Hydrostatic Pressure: a theoretical study, Journal of Physics: Condensed Matter 32 (2020) 405001

  • Dantchev, D. M., J. Rudnick, V. M. Vassilev, P. A. Djondjorov: Exact Solution for the Order Parameter Profiles and the Casimir Force in 4He Superfluid Films in an Effective Field Theory, Physica A: Statistical Mechanics and its Applications 522 (2019) 324-338.

  • Dantchev, D. M., 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: Statistical Mechanics and its Applications 510 (2018) 302-315.

  • Djondjorov, P. A., V. M. Vassilev, I. M. Mladenov. Analytic Description and Explicit Parametrization of the Equilibrium Shapes of Elastic Rings and Tubes under Uniform Hydrostatic Pressure, International Journal of Mechanical Sciences (In press).

  • Djondjorov, P. A., M. Ts. Hadzhilazova, I. M. Mladenov, V. M. Vassilev. Beyond Delaunay Surfaces, Journal of Geometry and Symmetry in Physics, 18 (2010), 1-12.

  • Vassilev, V. M., P. A. Djondjorov, I. M. Mladenov, Cylindrical Equilibrium Shapes of Fluid Membranes, J. Phys. A.: Math. Theoret.  41 (2008), 435201 (16pp).

  • Djondjorov, P. A., V. M. Vassilev. On the Dynamic Stability of a Cantilever under Tangential Follower Force According to Timoshenko Beam Theory, Journal of Sound and Vibration, 311 (2008) 1431–1437.

  • Vassilev, V. M, P. A. Djondjorov. Dynamic Stability of Viscoelastic Pipes on Elastic Foundations of Variable Modulus. Journal of Sound and Vibration, 297 (2006), 414–419.

  • Vassilev, V. M., I. M. Mladenov. Geometric Symmetry Groups, Conservation Laws and Group–Invariant Solutions of the Willmore Equation. In: Geometry, Integrability and Quantization, Vol. V, (Eds. I. Mladenov and A. Hirshfeld), Sofia, SOFTEX, 2004, 246–265.

  • Vassilev, V. M., P. A. Djondjorov. Application of Lie Transformation Group Methods to Classical Linear Theories of Rods and Plates, International Journal of Solids and Structures, 40 (2003), 1585–1614.

  • Djondjorov, P., V. M. Vassilev, V. Dzhupanov, Dynamic Stability of Fluid Conveying Cantilevered Pipes on Elastic Foundations, Journal of Sound and Vibration, 247 (2001), 537–546.

  • Vassilev, V. M., Application of Lie Groups to the Theory of Shells and Rods, Nonlinear Analysis, 30 (1997), 4839–4848.

  • Vassilev, V. M., Symmetry Groups and Equivalence Transformations in the Nonlinear Donnell-Mushtari-Vlasov Theory for Shallow Shells, J. Theoret. and Appl. Mech., 27 (1997), 43–51.

  • Djondjorov, P., V. M. Vassilev, Conservation Laws and Group-Invariant Solutions of the von Karman Equations, Int. J. Non-Linear Mech., 31 (1996), 73–87.

Recent Projects:

  • Nonlinear vibrations and damage detection of thin-walled aircraft and space structures (NSF, ТН-1518/2005)

  • Geometry of biomembranes (NSF, B–1531/2005)

  • Application of analytical and numerical methods for solving non-linear systems describing elastic structures (NSF, KП-06-H22-2, 2018 – 2023)

Union of Physicists in Bulgaria,

Union of Mathematicians in Bulgaria

Union of Scientists in Bulgaria

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Modified date:31-08-2022