Edit Profile (opens in new tab) Vassilev, Vassil M. Co-Author Distance Author ID: vassilev.vassil-m Published as: Vassilev, Vassil M.; Vassilev, V. M.; Vassilev, Vassil. M.; Vassilev, Vassil; Vassilev, V. more...less Documents Indexed: 52 Publications since 1986 Co-Authors: 13 Co-Authors with 38 Joint Publications 80 Co-Co-Authors all top 5 Co-Authors 7 single-authored 26 Djondjorov, Peter A. 26 Mladenov, Ivaĭlo M. 17 Hadzhilazova, Mariana Ts. 6 Danchev, Daniel M. 2 Genova, Krassimira 2 Kostadinov, Kostadin G. 2 Nikolov, Svetoslav G. 2 Popov, Svilen I. 2 Stoilov, Georgi I. 1 Djondjorov, Petar A. 1 Dzhupanov, Ventseslav A. 1 Golovkina, A. 1 Kolkovska, Natalia T. 1 Rudnick, Joseph 1 Shulev, Assen A. 1 Vucheva, Veselina all top 5 Serials 4 Journal of Geometry and Symmetry in Physics 2 Physica A 2 European Journal of Operational Research 2 Journal of Statistical Mechanics: Theory and Experiment 1 Computers & Mathematics with Applications 1 International Journal of Non-Linear Mechanics 1 International Journal of Solids and Structures 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Journal of Theoretical and Applied Mechanics (Sofia) 1 Teoretichna i Prilozhna Mekhanika 1 PLISKA. Studia Mathematica Bulgarica 1 Doklady Bolgarskoĭ Akademii Nauk 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Physics A: Mathematical and Theoretical 1 Communications in Theoretical Physics 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Fields 22 Mechanics of deformable solids (74-XX) 15 Differential geometry (53-XX) 9 Partial differential equations (35-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Fluid mechanics (76-XX) 5 Biology and other natural sciences (92-XX) 3 Ordinary differential equations (34-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 Special functions (33-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 69 times in 44 Documents Cited by ▼ Year ▼ Cylindrical equilibrium shapes of fluid membranes. Zbl 1149.76062Vassilev, V. M.; Djondjorov, P. A.; Mladenov, I. M. 14 2008 An approximate algorithm for nonlinear integer programming. Zbl 0803.90094Vassilev, Vassil; Genova, Krassimira 8 1994 Explicit parameterization of Euler’s elastica. Zbl 1196.53004Djondjorov, Peter A.; Hadzhilazova, Mariana Ts.; Mladenov, Ivaïlo M.; Vassilev, Vassil M. 6 2008 On some deformations of the Cassinian oval. Zbl 1237.53004Mladenov, Ivaïlo M.; Hadzhilazova, Mariana Ts.; Djondjorov, Peter A.; Vassilev, Vassil M. 6 2011 On the generalized Sturmian spirals. Zbl 1290.53004Mladenov, Ivailo; Hdzhilazova, Mariana; Djondjorov, Peter; Vassilev, Vassil 5 2011 Plane curves associated with integrable dynamical systems of the Frenet-Serret type. Zbl 1187.34004Djondjorov, P. A.; Vassilev, V. M.; Mladenov, I. M. 3 2009 Integrable dynamical systems of the Frenet-Serret type. Zbl 1183.37103Vassilev, V. M.; Djondjorov, P. A.; Mladenov, I. M. 3 2009 An algorithm of internal feasible directions for linear integer programming. Zbl 0732.90065Vassilev, Vassil; Genova, Krassimira 3 1991 Application of Lie transformation group methods to classical linear theories of rods and plates. Zbl 1032.74580Vassilev, V. M.; Djondjorov, P. A. 3 2003 Exact results for the behavior of the thermodynamic Casimir force in a model with a strong adsorption. Zbl 1457.82137Dantchev, Daniel M.; Vassilev, Vassil M.; Djondjorov, Peter A. 3 2016 New parameterizations of the Cassinian ovals. Zbl 1382.51016Hadzhilazova, Mariana Ts.; Mladenov, Ivaïlo M.; Djondjorov, Peter A.; Vassilev, Vassil M. 3 2011 Equilibrium configurations of lipid bilayer membranes and carbon nanostructures. Zbl 1264.92062Mladenov, Ivaïlo M.; Djondjorov, Peter A.; Hadzhilazova, Mariana Ts.; Vassilev, Vassil M. 3 2013 Acceleration waves in von Kármán plate theory. Zbl 0958.35138Djondjorov, P.; Vassilev, V. 2 2000 Conservation laws and group-invariant solutions of the von Kármán equations. Zbl 0860.73027Djondjorov, P. A.; Vassilev, V. M. 2 1996 Application of Lie groups to the theory of shells and rods. Zbl 0903.73040Vassilev, Vassil M. 2 1997 Exact results for the temperature-field behavior of the Ginzburg-Landau Ising type mean-field model. Zbl 1456.82349Dantchev, Daniel M.; Vassilev, Vassil M.; Djondjorov, Peter A. 2 2015 Analytic description of the equilibrium shapes of elastic rings under uniform hydrostatic pressure. Zbl 1252.74033Djondjorov, Peter A.; Vassilev, Vassil. M.; Mladenov, Ivaïlo M. 2 2011 Completely integrable dynamical systems of Hopf-Langford type. Zbl 1454.37056Nikolov, Svetoslav G.; Vassilev, Vassil M. 2 2021 Analytical results for the Casimir force in a Ginzburg-Landau type model of a film with strongly adsorbing competing walls. Zbl 1514.82207Dantchev, Daniel; Vassilev, Vassil M.; Djondjorov, Peter A. 2 2018 Geometric symmetry groups, conservation laws and group-invariant solutions of the Willmore equation. Zbl 1073.53008Vassilev, Vassil M.; Mladenov, Ivaïlo M. 1 2004 A method for solving a class of multiple-criteria analysis problems. Zbl 0949.90084Vassilev, V.; Genova, K.; Kirilov, L. 1 1998 Symmetry groups, conservation laws and group-invariant solutions of the Marguerre-von Kármán equations. Zbl 0959.35161Vassilev, V. 1 2000 On the translationally-invariant solutions of the membrane shape equation. Zbl 1125.53008Vassilev, Vassil M.; Djondjorov, Peter A.; Mladenov, Ivaïlo M. 1 2007 Cell membranes under hydrostatic pressure subjected to micro-injection. Zbl 1275.74015Vassilev, Vassil M.; Kostadinov, Kostadin G.; Mladenov, Ivaïlo M.; Shulev, Assen A.; Stoilov, Georgi I.; Djondjorov, Peter A. 1 2011 Beyond Delaunay surfaces. Zbl 1203.53007Djondjorov, Peter A.; Hadzhilazova, Mariana Ts.; Mladenov, Ivaïlo M.; Vassilev, Vassil M. 1 2010 Exact solution for the order parameter profiles and the Casimir force in \(^4\mathrm{He}\) superfluid films in an effective field theory. Zbl 07561956Dantchev, Daniel; Rudnick, Joseph; Vassilev, Vassil M.; Djondjorov, Peter A. 1 2019 Analytical representations of Willmore and generalized Willmore surfaces. Zbl 1392.53016Vassilev, Vassil M.; Djondjorov, Peter A.; Hadzhilazova, Mariana Ts.; Mladenov, Ivailo M. 1 2018 Analytic description of the viscous fingering interface in a rotating Hele-Shaw cell. Zbl 1382.76066Djondjorov, Peter A.; Vassilev, Vassil M.; Hadzhilazova, Mariana Ts.; Mladenov, Ivaïlo M. 1 2012 Completely integrable dynamical systems of Hopf-Langford type. Zbl 1454.37056Nikolov, Svetoslav G.; Vassilev, Vassil M. 2 2021 Exact solution for the order parameter profiles and the Casimir force in \(^4\mathrm{He}\) superfluid films in an effective field theory. Zbl 07561956Dantchev, Daniel; Rudnick, Joseph; Vassilev, Vassil M.; Djondjorov, Peter A. 1 2019 Analytical results for the Casimir force in a Ginzburg-Landau type model of a film with strongly adsorbing competing walls. Zbl 1514.82207Dantchev, Daniel; Vassilev, Vassil M.; Djondjorov, Peter A. 2 2018 Analytical representations of Willmore and generalized Willmore surfaces. Zbl 1392.53016Vassilev, Vassil M.; Djondjorov, Peter A.; Hadzhilazova, Mariana Ts.; Mladenov, Ivailo M. 1 2018 Exact results for the behavior of the thermodynamic Casimir force in a model with a strong adsorption. Zbl 1457.82137Dantchev, Daniel M.; Vassilev, Vassil M.; Djondjorov, Peter A. 3 2016 Exact results for the temperature-field behavior of the Ginzburg-Landau Ising type mean-field model. Zbl 1456.82349Dantchev, Daniel M.; Vassilev, Vassil M.; Djondjorov, Peter A. 2 2015 Equilibrium configurations of lipid bilayer membranes and carbon nanostructures. Zbl 1264.92062Mladenov, Ivaïlo M.; Djondjorov, Peter A.; Hadzhilazova, Mariana Ts.; Vassilev, Vassil M. 3 2013 Analytic description of the viscous fingering interface in a rotating Hele-Shaw cell. Zbl 1382.76066Djondjorov, Peter A.; Vassilev, Vassil M.; Hadzhilazova, Mariana Ts.; Mladenov, Ivaïlo M. 1 2012 On some deformations of the Cassinian oval. Zbl 1237.53004Mladenov, Ivaïlo M.; Hadzhilazova, Mariana Ts.; Djondjorov, Peter A.; Vassilev, Vassil M. 6 2011 On the generalized Sturmian spirals. Zbl 1290.53004Mladenov, Ivailo; Hdzhilazova, Mariana; Djondjorov, Peter; Vassilev, Vassil 5 2011 New parameterizations of the Cassinian ovals. Zbl 1382.51016Hadzhilazova, Mariana Ts.; Mladenov, Ivaïlo M.; Djondjorov, Peter A.; Vassilev, Vassil M. 3 2011 Analytic description of the equilibrium shapes of elastic rings under uniform hydrostatic pressure. Zbl 1252.74033Djondjorov, Peter A.; Vassilev, Vassil. M.; Mladenov, Ivaïlo M. 2 2011 Cell membranes under hydrostatic pressure subjected to micro-injection. Zbl 1275.74015Vassilev, Vassil M.; Kostadinov, Kostadin G.; Mladenov, Ivaïlo M.; Shulev, Assen A.; Stoilov, Georgi I.; Djondjorov, Peter A. 1 2011 Beyond Delaunay surfaces. Zbl 1203.53007Djondjorov, Peter A.; Hadzhilazova, Mariana Ts.; Mladenov, Ivaïlo M.; Vassilev, Vassil M. 1 2010 Plane curves associated with integrable dynamical systems of the Frenet-Serret type. Zbl 1187.34004Djondjorov, P. A.; Vassilev, V. M.; Mladenov, I. M. 3 2009 Integrable dynamical systems of the Frenet-Serret type. Zbl 1183.37103Vassilev, V. M.; Djondjorov, P. A.; Mladenov, I. M. 3 2009 Cylindrical equilibrium shapes of fluid membranes. Zbl 1149.76062Vassilev, V. M.; Djondjorov, P. A.; Mladenov, I. M. 14 2008 Explicit parameterization of Euler’s elastica. Zbl 1196.53004Djondjorov, Peter A.; Hadzhilazova, Mariana Ts.; Mladenov, Ivaïlo M.; Vassilev, Vassil M. 6 2008 On the translationally-invariant solutions of the membrane shape equation. Zbl 1125.53008Vassilev, Vassil M.; Djondjorov, Peter A.; Mladenov, Ivaïlo M. 1 2007 Geometric symmetry groups, conservation laws and group-invariant solutions of the Willmore equation. Zbl 1073.53008Vassilev, Vassil M.; Mladenov, Ivaïlo M. 1 2004 Application of Lie transformation group methods to classical linear theories of rods and plates. Zbl 1032.74580Vassilev, V. M.; Djondjorov, P. A. 3 2003 Acceleration waves in von Kármán plate theory. Zbl 0958.35138Djondjorov, P.; Vassilev, V. 2 2000 Symmetry groups, conservation laws and group-invariant solutions of the Marguerre-von Kármán equations. Zbl 0959.35161Vassilev, V. 1 2000 A method for solving a class of multiple-criteria analysis problems. Zbl 0949.90084Vassilev, V.; Genova, K.; Kirilov, L. 1 1998 Application of Lie groups to the theory of shells and rods. Zbl 0903.73040Vassilev, Vassil M. 2 1997 Conservation laws and group-invariant solutions of the von Kármán equations. Zbl 0860.73027Djondjorov, P. A.; Vassilev, V. M. 2 1996 An approximate algorithm for nonlinear integer programming. Zbl 0803.90094Vassilev, Vassil; Genova, Krassimira 8 1994 An algorithm of internal feasible directions for linear integer programming. Zbl 0732.90065Vassilev, Vassil; Genova, Krassimira 3 1991 all cited Publications top 5 cited Publications all top 5 Cited by 57 Authors 7 Vassilev, Vassil M. 6 Mladenov, Ivaĭlo M. 5 Castro-Infantes, Ildefonso 5 Castro, Ildefonso 5 Danchev, Daniel M. 4 Castro-Infantes, Jesús 4 Djondjorov, Peter A. 2 Chen, Fa 2 Miura, Tatsuya 2 Musso, Emilio 2 Ou-Yang, Zhong-Can 2 Pámpano, Álvaro 2 Pluda, Alessandra 2 Popov, Svilen I. 2 Tu, Zhanchun 2 Zhang, Haiqiang 1 Asemi, Kamran 1 Bartels, Sören 1 Bluman, George W. 1 Blyth, Mark G. 1 Brubaker, Nicholas D. 1 Chen, Jinbing 1 Cheviakov, Alexei F. 1 Dall’Acqua, Anna 1 Franceschini, Paolo 1 Fried, Eliot 1 Ganguly, Ranjan 1 Giomi, Luca 1 Giusteri, Giulio G. 1 Grin, Alexander A. 1 Guo, Gaihui 1 Hadzhilazova, Mariana Ts. 1 Han, Yazhou 1 İlarslan, Kazim 1 Kiani, Yasser 1 Kundu, Bidisha 1 Mahadevan, Lakshminarayanan 1 Manno, Gianni 1 Mantegazza, Carlo 1 Müller, Marius 1 Musafirov, Eduard Vladimirovich 1 Niu, Pengcheng 1 Palmer, Bennett 1 Paragoda, Thanuja 1 Părău, Emilian I. 1 Pei, Zhi-jie 1 Pelinovsky, Dmitry Efimovich 1 Perdomo, Oscar Mario 1 Pozzetta, Marco 1 Pranevich, Andreĭ F. 1 Rudnick, Joseph 1 Uçum, Ali 1 Vanden-Broeck, Jean-Marc 1 Wang, Jingjing 1 Wei, Meihua 1 Zhang, Shutao 1 Zingoni, Alphose all top 5 Cited in 32 Serials 3 Journal of Nonlinear Science 3 Journal of Geometry and Symmetry in Physics 3 Open Mathematics 2 Physica A 1 International Journal of Modern Physics B 1 Acta Mechanica 1 Computers & Mathematics with Applications 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 Physics Reports 1 Journal of Geometry and Physics 1 International Journal for Numerical Methods in Engineering 1 Mathematische Annalen 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Differential Geometry and its Applications 1 SIAM Journal on Applied Mathematics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Calculus of Variations and Partial Differential Equations 1 Nonlinear Dynamics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Qualitative Theory of Dynamical Systems 1 Communications on Pure and Applied Analysis 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Milan Journal of Mathematics 1 Mediterranean Journal of Mathematics 1 International Journal of Structural Stability and Dynamics 1 Nonlinear Analysis. Theory, Methods & Applications 1 Geometric Flows all top 5 Cited in 21 Fields 19 Differential geometry (53-XX) 16 Mechanics of deformable solids (74-XX) 11 Partial differential equations (35-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 5 Fluid mechanics (76-XX) 4 Real functions (26-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Topological groups, Lie groups (22-XX) 3 Ordinary differential equations (34-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Geometry (51-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Integral equations (45-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) Citations by Year